The meaning of **homomorphic preimage **
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We are working on commutative Ring Theory and their modules. While studying a paper, we saw the concept "homomorphic preimage of an $R$-module". I want to know the meaning of this.
abstract-algebra modules
edited Dec 31 '18 at 9:27
user26857
39.6k124284
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
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add a comment |
$begingroup$
We are working on commutative Ring Theory and their modules. While studying a paper, we saw the concept "homomorphic preimage of an $R$-module". I want to know the meaning of this.
abstract-algebra modules
edited Dec 31 '18 at 9:27
user26857
39.6k124284
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
$endgroup$
add a comment |
$begingroup$
We are working on commutative Ring Theory and their modules. While studying a paper, we saw the concept "homomorphic preimage of an $R$-module". I want to know the meaning of this.
abstract-algebra modules
edited Dec 31 '18 at 9:27
user26857
39.6k124284
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
$endgroup$
We are working on commutative Ring Theory and their modules. While studying a paper, we saw the concept "homomorphic preimage of an $R$-module". I want to know the meaning of this.
abstract-algebra modules
abstract-algebra modules
edited Dec 31 '18 at 9:27
user26857
39.6k124284
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
edited Dec 31 '18 at 9:27
user26857
39.6k124284
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
edited Dec 31 '18 at 9:27
user26857
39.6k124284
edited Dec 31 '18 at 9:27
user26857
39.6k124284
edited Dec 31 '18 at 9:27
user26857
39.6k124284
39.6k124284
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
asked Dec 31 '18 at 8:08
Es.RoEs.Ro
83238
83238
add a comment |
add a comment |
1 Answer
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$M$ being an $R$-module, a homomorphic preimage of $M$ is the preimage of $M$ under a homomorphism $N to M$ for some $R$-module $N$.
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
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add a comment |
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1 Answer
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1 Answer
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active
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$begingroup$
$M$ being an $R$-module, a homomorphic preimage of $M$ is the preimage of $M$ under a homomorphism $N to M$ for some $R$-module $N$.
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
$endgroup$
add a comment |
$begingroup$
$M$ being an $R$-module, a homomorphic preimage of $M$ is the preimage of $M$ under a homomorphism $N to M$ for some $R$-module $N$.
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
$endgroup$
add a comment |
$begingroup$
$M$ being an $R$-module, a homomorphic preimage of $M$ is the preimage of $M$ under a homomorphism $N to M$ for some $R$-module $N$.
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
$endgroup$
$M$ being an $R$-module, a homomorphic preimage of $M$ is the preimage of $M$ under a homomorphism $N to M$ for some $R$-module $N$.
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
answered Dec 31 '18 at 8:13
Kenny LauKenny Lau
20k2260
20k2260
add a comment |
add a comment |
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