Talk:Endomorphism ring/Archive 1

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Archive 1

Notation

Latest comment: 11 years ago2 comments2 people in discussion

The notation used in this article, End(V), to denote the set of all homomorphisms of an abelian group V into itself, is common in many algebra texts. The notation, Hom(V,W) is also common in many algebra texts, when V and W are two separate abelian groups. Donald S. Passman defines the notation as, "Let V and W be additive abelian groups. ... The set of all such homomorphisms is denoted by Hom(V,W). ... When W = V, we call $\alpha$ :V → V an endomorphism of V and write End(V) = Hom(V,V)." I have only seen one text, written by John B. Fraleigh, use Hom(V) for the set of endomorphisms. Anita5192 (talk) 04:17, 27 July 2012 (UTC)

OK I'm glad we have this information. Every once in a while, an author comes up with a term that never gets used (like Lang's "entire ring" for "domain".) I haven't ever had a chance to see Fraleigh and now I'm curious about it. Rschwieb (talk) 16:37, 27 July 2012 (UTC)