Diagram of Short exact sequences












0















Can someone help me. I want to write morphisms between all objects



[
setlength{arraycolsep}{1pt}
begin{array}{*{9}c}
0 &Lrightarrow & X & Lrightarrow & Y & Lrightarrow & Z & Lrightarrow & 0\
& & Ldownarrow & & Ldownarrow & & Ldownarrow & & \
0 &Lrightarrow & X^' & Lrightarrow & Y^' & Lrightarrow & Z^' & Lrightarrow & 0
end{array}
]









share|improve this question




















  • 1





    Sorry, what has your question to do with tikz-pgf? And please consider providing a compilable code.

    – marmot
    Jan 9 at 23:19











  • What are Lrightarrow and Ldownarrow?

    – Bernard
    Jan 9 at 23:22











  • It is compilable in my latex. Do you have another code from titkz-pgf?

    – user178971
    Jan 9 at 23:28











  • Bernard to be honest, I do not know, I just need to write morphisms between objects.

    – user178971
    Jan 9 at 23:29
















0















Can someone help me. I want to write morphisms between all objects



[
setlength{arraycolsep}{1pt}
begin{array}{*{9}c}
0 &Lrightarrow & X & Lrightarrow & Y & Lrightarrow & Z & Lrightarrow & 0\
& & Ldownarrow & & Ldownarrow & & Ldownarrow & & \
0 &Lrightarrow & X^' & Lrightarrow & Y^' & Lrightarrow & Z^' & Lrightarrow & 0
end{array}
]









share|improve this question




















  • 1





    Sorry, what has your question to do with tikz-pgf? And please consider providing a compilable code.

    – marmot
    Jan 9 at 23:19











  • What are Lrightarrow and Ldownarrow?

    – Bernard
    Jan 9 at 23:22











  • It is compilable in my latex. Do you have another code from titkz-pgf?

    – user178971
    Jan 9 at 23:28











  • Bernard to be honest, I do not know, I just need to write morphisms between objects.

    – user178971
    Jan 9 at 23:29














0












0








0








Can someone help me. I want to write morphisms between all objects



[
setlength{arraycolsep}{1pt}
begin{array}{*{9}c}
0 &Lrightarrow & X & Lrightarrow & Y & Lrightarrow & Z & Lrightarrow & 0\
& & Ldownarrow & & Ldownarrow & & Ldownarrow & & \
0 &Lrightarrow & X^' & Lrightarrow & Y^' & Lrightarrow & Z^' & Lrightarrow & 0
end{array}
]









share|improve this question
















Can someone help me. I want to write morphisms between all objects



[
setlength{arraycolsep}{1pt}
begin{array}{*{9}c}
0 &Lrightarrow & X & Lrightarrow & Y & Lrightarrow & Z & Lrightarrow & 0\
& & Ldownarrow & & Ldownarrow & & Ldownarrow & & \
0 &Lrightarrow & X^' & Lrightarrow & Y^' & Lrightarrow & Z^' & Lrightarrow & 0
end{array}
]






commutative-diagrams






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Jan 9 at 23:32









Sigur

24.4k355138




24.4k355138










asked Jan 9 at 23:17







user178971















  • 1





    Sorry, what has your question to do with tikz-pgf? And please consider providing a compilable code.

    – marmot
    Jan 9 at 23:19











  • What are Lrightarrow and Ldownarrow?

    – Bernard
    Jan 9 at 23:22











  • It is compilable in my latex. Do you have another code from titkz-pgf?

    – user178971
    Jan 9 at 23:28











  • Bernard to be honest, I do not know, I just need to write morphisms between objects.

    – user178971
    Jan 9 at 23:29














  • 1





    Sorry, what has your question to do with tikz-pgf? And please consider providing a compilable code.

    – marmot
    Jan 9 at 23:19











  • What are Lrightarrow and Ldownarrow?

    – Bernard
    Jan 9 at 23:22











  • It is compilable in my latex. Do you have another code from titkz-pgf?

    – user178971
    Jan 9 at 23:28











  • Bernard to be honest, I do not know, I just need to write morphisms between objects.

    – user178971
    Jan 9 at 23:29








1




1





Sorry, what has your question to do with tikz-pgf? And please consider providing a compilable code.

– marmot
Jan 9 at 23:19





Sorry, what has your question to do with tikz-pgf? And please consider providing a compilable code.

– marmot
Jan 9 at 23:19













What are Lrightarrow and Ldownarrow?

– Bernard
Jan 9 at 23:22





What are Lrightarrow and Ldownarrow?

– Bernard
Jan 9 at 23:22













It is compilable in my latex. Do you have another code from titkz-pgf?

– user178971
Jan 9 at 23:28





It is compilable in my latex. Do you have another code from titkz-pgf?

– user178971
Jan 9 at 23:28













Bernard to be honest, I do not know, I just need to write morphisms between objects.

– user178971
Jan 9 at 23:29





Bernard to be honest, I do not know, I just need to write morphisms between objects.

– user178971
Jan 9 at 23:29










2 Answers
2






active

oldest

votes


















3














Here are solutions with xy and tikz-cd. The idea is the same, think on them as matrices.



enter image description here



documentclass{report}
usepackage[all]{xy}
usepackage{tikz-cd}
begin{document}
[
xymatrix{
0 ar[r] & A ar[d]_-{alpha} ar[r]^-{f} & B ar[d]_-{beta} ar[r]^-{g} & C ar[d]^-{gamma} ar[r] & 0 \
0 ar[r] & A' ar[r]_-{f'} & B' ar[r]_-{g'} & C' ar[r] & 0
}
]
[
begin{tikzcd}
0 arrow[r] & A arrow[d, "alpha"] arrow[r, "f"] & B arrow[d, "beta"] arrow[r, "g"] & C arrow[d, "gamma"] arrow[r] & 0 \
0 arrow[r] & A' arrow[r, "f'"] & B' arrow[r, "g'"] & C' ar[r] & 0
end{tikzcd}
]
end{document}





share|improve this answer


























  • Sigur thank you very much.

    – user178971
    Jan 9 at 23:30











  • @DiegoHavez, welcome.

    – Sigur
    Jan 9 at 23:31



















2














A solution with psmatrix:



documentclass{article}

usepackage{pst-node}
usepackage{auto-pst-pdf}

begin{document}

[
everypsbox{scriptstyle}
begin{psmatrix}[rowsep=1cm, colsep=1.2cm]
0 & A & B & C & 0 \
0 & D & B' & C' & 0
%% Arrows
psset{linewidth=0.5pt, arrows=->, arrowinset=0.12, nodesep=3pt, shortput=nab, labelsep=1.5pt}
ncline{1,1}{1,2}ncline{1,4}{1,5}ncline{2,1}{2,2}ncline{2,4}{2,5}
ncline{1,2}{1,3}^{f}ncline{1,2}{2,2}_{alpha}
ncline{1,3}{1,4}^{g}ncline{1,3}{2,3}_{beta}ncline{1,4}{2,4}_{gamma}
ncline{2,2}{2,3}_{f'}
ncline{2,3}{2,4}_{g'}
end{psmatrix} ]%

end{document}


enter image description here






share|improve this answer
























  • Do you know the meaning of nc in ncline command? I mean, line is clear; c maybe for column; and what about n?

    – Sigur
    Jan 10 at 0:11






  • 1





    nc is for node connection, as far as I know.

    – Bernard
    Jan 10 at 0:18











  • ahh, makes sense. Nice!

    – Sigur
    Jan 10 at 0:19











  • Bernard Thank you

    – user178971
    Jan 10 at 22:48











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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









3














Here are solutions with xy and tikz-cd. The idea is the same, think on them as matrices.



enter image description here



documentclass{report}
usepackage[all]{xy}
usepackage{tikz-cd}
begin{document}
[
xymatrix{
0 ar[r] & A ar[d]_-{alpha} ar[r]^-{f} & B ar[d]_-{beta} ar[r]^-{g} & C ar[d]^-{gamma} ar[r] & 0 \
0 ar[r] & A' ar[r]_-{f'} & B' ar[r]_-{g'} & C' ar[r] & 0
}
]
[
begin{tikzcd}
0 arrow[r] & A arrow[d, "alpha"] arrow[r, "f"] & B arrow[d, "beta"] arrow[r, "g"] & C arrow[d, "gamma"] arrow[r] & 0 \
0 arrow[r] & A' arrow[r, "f'"] & B' arrow[r, "g'"] & C' ar[r] & 0
end{tikzcd}
]
end{document}





share|improve this answer


























  • Sigur thank you very much.

    – user178971
    Jan 9 at 23:30











  • @DiegoHavez, welcome.

    – Sigur
    Jan 9 at 23:31
















3














Here are solutions with xy and tikz-cd. The idea is the same, think on them as matrices.



enter image description here



documentclass{report}
usepackage[all]{xy}
usepackage{tikz-cd}
begin{document}
[
xymatrix{
0 ar[r] & A ar[d]_-{alpha} ar[r]^-{f} & B ar[d]_-{beta} ar[r]^-{g} & C ar[d]^-{gamma} ar[r] & 0 \
0 ar[r] & A' ar[r]_-{f'} & B' ar[r]_-{g'} & C' ar[r] & 0
}
]
[
begin{tikzcd}
0 arrow[r] & A arrow[d, "alpha"] arrow[r, "f"] & B arrow[d, "beta"] arrow[r, "g"] & C arrow[d, "gamma"] arrow[r] & 0 \
0 arrow[r] & A' arrow[r, "f'"] & B' arrow[r, "g'"] & C' ar[r] & 0
end{tikzcd}
]
end{document}





share|improve this answer


























  • Sigur thank you very much.

    – user178971
    Jan 9 at 23:30











  • @DiegoHavez, welcome.

    – Sigur
    Jan 9 at 23:31














3












3








3







Here are solutions with xy and tikz-cd. The idea is the same, think on them as matrices.



enter image description here



documentclass{report}
usepackage[all]{xy}
usepackage{tikz-cd}
begin{document}
[
xymatrix{
0 ar[r] & A ar[d]_-{alpha} ar[r]^-{f} & B ar[d]_-{beta} ar[r]^-{g} & C ar[d]^-{gamma} ar[r] & 0 \
0 ar[r] & A' ar[r]_-{f'} & B' ar[r]_-{g'} & C' ar[r] & 0
}
]
[
begin{tikzcd}
0 arrow[r] & A arrow[d, "alpha"] arrow[r, "f"] & B arrow[d, "beta"] arrow[r, "g"] & C arrow[d, "gamma"] arrow[r] & 0 \
0 arrow[r] & A' arrow[r, "f'"] & B' arrow[r, "g'"] & C' ar[r] & 0
end{tikzcd}
]
end{document}





share|improve this answer















Here are solutions with xy and tikz-cd. The idea is the same, think on them as matrices.



enter image description here



documentclass{report}
usepackage[all]{xy}
usepackage{tikz-cd}
begin{document}
[
xymatrix{
0 ar[r] & A ar[d]_-{alpha} ar[r]^-{f} & B ar[d]_-{beta} ar[r]^-{g} & C ar[d]^-{gamma} ar[r] & 0 \
0 ar[r] & A' ar[r]_-{f'} & B' ar[r]_-{g'} & C' ar[r] & 0
}
]
[
begin{tikzcd}
0 arrow[r] & A arrow[d, "alpha"] arrow[r, "f"] & B arrow[d, "beta"] arrow[r, "g"] & C arrow[d, "gamma"] arrow[r] & 0 \
0 arrow[r] & A' arrow[r, "f'"] & B' arrow[r, "g'"] & C' ar[r] & 0
end{tikzcd}
]
end{document}






share|improve this answer














share|improve this answer



share|improve this answer








edited Jan 9 at 23:40

























answered Jan 9 at 23:29









SigurSigur

24.4k355138




24.4k355138













  • Sigur thank you very much.

    – user178971
    Jan 9 at 23:30











  • @DiegoHavez, welcome.

    – Sigur
    Jan 9 at 23:31



















  • Sigur thank you very much.

    – user178971
    Jan 9 at 23:30











  • @DiegoHavez, welcome.

    – Sigur
    Jan 9 at 23:31

















Sigur thank you very much.

– user178971
Jan 9 at 23:30





Sigur thank you very much.

– user178971
Jan 9 at 23:30













@DiegoHavez, welcome.

– Sigur
Jan 9 at 23:31





@DiegoHavez, welcome.

– Sigur
Jan 9 at 23:31











2














A solution with psmatrix:



documentclass{article}

usepackage{pst-node}
usepackage{auto-pst-pdf}

begin{document}

[
everypsbox{scriptstyle}
begin{psmatrix}[rowsep=1cm, colsep=1.2cm]
0 & A & B & C & 0 \
0 & D & B' & C' & 0
%% Arrows
psset{linewidth=0.5pt, arrows=->, arrowinset=0.12, nodesep=3pt, shortput=nab, labelsep=1.5pt}
ncline{1,1}{1,2}ncline{1,4}{1,5}ncline{2,1}{2,2}ncline{2,4}{2,5}
ncline{1,2}{1,3}^{f}ncline{1,2}{2,2}_{alpha}
ncline{1,3}{1,4}^{g}ncline{1,3}{2,3}_{beta}ncline{1,4}{2,4}_{gamma}
ncline{2,2}{2,3}_{f'}
ncline{2,3}{2,4}_{g'}
end{psmatrix} ]%

end{document}


enter image description here






share|improve this answer
























  • Do you know the meaning of nc in ncline command? I mean, line is clear; c maybe for column; and what about n?

    – Sigur
    Jan 10 at 0:11






  • 1





    nc is for node connection, as far as I know.

    – Bernard
    Jan 10 at 0:18











  • ahh, makes sense. Nice!

    – Sigur
    Jan 10 at 0:19











  • Bernard Thank you

    – user178971
    Jan 10 at 22:48
















2














A solution with psmatrix:



documentclass{article}

usepackage{pst-node}
usepackage{auto-pst-pdf}

begin{document}

[
everypsbox{scriptstyle}
begin{psmatrix}[rowsep=1cm, colsep=1.2cm]
0 & A & B & C & 0 \
0 & D & B' & C' & 0
%% Arrows
psset{linewidth=0.5pt, arrows=->, arrowinset=0.12, nodesep=3pt, shortput=nab, labelsep=1.5pt}
ncline{1,1}{1,2}ncline{1,4}{1,5}ncline{2,1}{2,2}ncline{2,4}{2,5}
ncline{1,2}{1,3}^{f}ncline{1,2}{2,2}_{alpha}
ncline{1,3}{1,4}^{g}ncline{1,3}{2,3}_{beta}ncline{1,4}{2,4}_{gamma}
ncline{2,2}{2,3}_{f'}
ncline{2,3}{2,4}_{g'}
end{psmatrix} ]%

end{document}


enter image description here






share|improve this answer
























  • Do you know the meaning of nc in ncline command? I mean, line is clear; c maybe for column; and what about n?

    – Sigur
    Jan 10 at 0:11






  • 1





    nc is for node connection, as far as I know.

    – Bernard
    Jan 10 at 0:18











  • ahh, makes sense. Nice!

    – Sigur
    Jan 10 at 0:19











  • Bernard Thank you

    – user178971
    Jan 10 at 22:48














2












2








2







A solution with psmatrix:



documentclass{article}

usepackage{pst-node}
usepackage{auto-pst-pdf}

begin{document}

[
everypsbox{scriptstyle}
begin{psmatrix}[rowsep=1cm, colsep=1.2cm]
0 & A & B & C & 0 \
0 & D & B' & C' & 0
%% Arrows
psset{linewidth=0.5pt, arrows=->, arrowinset=0.12, nodesep=3pt, shortput=nab, labelsep=1.5pt}
ncline{1,1}{1,2}ncline{1,4}{1,5}ncline{2,1}{2,2}ncline{2,4}{2,5}
ncline{1,2}{1,3}^{f}ncline{1,2}{2,2}_{alpha}
ncline{1,3}{1,4}^{g}ncline{1,3}{2,3}_{beta}ncline{1,4}{2,4}_{gamma}
ncline{2,2}{2,3}_{f'}
ncline{2,3}{2,4}_{g'}
end{psmatrix} ]%

end{document}


enter image description here






share|improve this answer













A solution with psmatrix:



documentclass{article}

usepackage{pst-node}
usepackage{auto-pst-pdf}

begin{document}

[
everypsbox{scriptstyle}
begin{psmatrix}[rowsep=1cm, colsep=1.2cm]
0 & A & B & C & 0 \
0 & D & B' & C' & 0
%% Arrows
psset{linewidth=0.5pt, arrows=->, arrowinset=0.12, nodesep=3pt, shortput=nab, labelsep=1.5pt}
ncline{1,1}{1,2}ncline{1,4}{1,5}ncline{2,1}{2,2}ncline{2,4}{2,5}
ncline{1,2}{1,3}^{f}ncline{1,2}{2,2}_{alpha}
ncline{1,3}{1,4}^{g}ncline{1,3}{2,3}_{beta}ncline{1,4}{2,4}_{gamma}
ncline{2,2}{2,3}_{f'}
ncline{2,3}{2,4}_{g'}
end{psmatrix} ]%

end{document}


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered Jan 10 at 0:09









BernardBernard

167k769194




167k769194













  • Do you know the meaning of nc in ncline command? I mean, line is clear; c maybe for column; and what about n?

    – Sigur
    Jan 10 at 0:11






  • 1





    nc is for node connection, as far as I know.

    – Bernard
    Jan 10 at 0:18











  • ahh, makes sense. Nice!

    – Sigur
    Jan 10 at 0:19











  • Bernard Thank you

    – user178971
    Jan 10 at 22:48



















  • Do you know the meaning of nc in ncline command? I mean, line is clear; c maybe for column; and what about n?

    – Sigur
    Jan 10 at 0:11






  • 1





    nc is for node connection, as far as I know.

    – Bernard
    Jan 10 at 0:18











  • ahh, makes sense. Nice!

    – Sigur
    Jan 10 at 0:19











  • Bernard Thank you

    – user178971
    Jan 10 at 22:48

















Do you know the meaning of nc in ncline command? I mean, line is clear; c maybe for column; and what about n?

– Sigur
Jan 10 at 0:11





Do you know the meaning of nc in ncline command? I mean, line is clear; c maybe for column; and what about n?

– Sigur
Jan 10 at 0:11




1




1





nc is for node connection, as far as I know.

– Bernard
Jan 10 at 0:18





nc is for node connection, as far as I know.

– Bernard
Jan 10 at 0:18













ahh, makes sense. Nice!

– Sigur
Jan 10 at 0:19





ahh, makes sense. Nice!

– Sigur
Jan 10 at 0:19













Bernard Thank you

– user178971
Jan 10 at 22:48





Bernard Thank you

– user178971
Jan 10 at 22:48


















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