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Describe the endomorphism ring . Is it commutative? Justify your answer. |
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Answer» Step-by-step explanation: In abstract algebra, the endomorphisms of an ABELIAN group X form a ring. This ring is called the endomorphism ring X, denoted by End(X); the set of all HOMOMORPHISMS of X into itself. ADDITION of endomorphisms arises naturally in a pointwise manner and multiplication via endomorphism composition. Using these operations, the set of endomorphisms of an abelian group FORMS a (unital) ring, with the ZERO map {\textstyle 0:x\mapsto 0}{\textstyle 0:x\mapsto 0} as additive identity and the identity map {\textstyle 1:x\mapsto x}{\textstyle 1:x\mapsto x} as multiplicative identity. mark me as brainliast |
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