let a AB and BBC be homomorphisms the we have a Bare efimorphisms Bod is ae Pimorphisms pod is epimorphism Befimorphism let SIA B be amodule homemphism and let u besub Module of A It is well-know that UCS (S(u)) When U = $($(u) and why? Compare be tween Maximal submodule and largest submodules. The trive submodule is the only Smal submodule in Zz prove.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 23E: Describe the kernel of epimorphism in Exercise 22. Assume that each of R and S is a commutative...
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let a AB and BBC
be homomorphisms the we have
a Bare efimorphisms
Bod is ae Pimorphisms
pod is epimorphism Befimorphism
let SIA B be amodule
homemphism and let u besub Module
of A It is well-know that UCS (S(u))
When U = $($(u) and why?
Compare be tween Maximal submodule
and largest submodules.
The trive submodule is the only
Smal submodule in Zz prove.
Transcribed Image Text:let a AB and BBC be homomorphisms the we have a Bare efimorphisms Bod is ae Pimorphisms pod is epimorphism Befimorphism let SIA B be amodule homemphism and let u besub Module of A It is well-know that UCS (S(u)) When U = $($(u) and why? Compare be tween Maximal submodule and largest submodules. The trive submodule is the only Smal submodule in Zz prove.
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