Module homomorphism

Module homomorphism

In algebra, a module homomorphism is a function between modules that preserves the module structures. Explicitly, if M and N are left modules over a ring R, then a function is called an R-module homomorphism or an R-linear map if for any x, y in M and r in R, In other words, f is a group homomorphism (for the underlying additive groups) that commutes with scalar multiplication. If M, N are right R-modules, then the second condition is replaced with
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Module homomorphism

In algebra, a module homomorphism is a function between modules that preserves the module structures. Explicitly, if M and N are left modules over a ring R, then a function is called an R-module homomorphism or an R-linear map if for any x, y in M and r in R, In other words, f is a group homomorphism (for the underlying additive groups) that commutes with scalar multiplication. If M, N are right R-modules, then the second condition is replaced with
Thing
http://dbpedia.org/resource/Module_homomorphism
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In algebra, a module homomorph ...... form the category of modules.
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In der Mathematik ist ein Modu ...... ucht nicht kommutativ zu sein.
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In algebra, a module homomorph ...... ond condition is replaced with
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In der Mathematik ist ein Modu ...... n und berechnet die Summe in .
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Module homomorphism
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Modulhomomorphismus
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