金哥占卜者
发表于 2025-3-26 22:16:12
ModulesIn this chapter we study modules over a ring A and their homomorphisms. We will highlight similarities and distinctions between modules and both Abelian groups and vector spaces, which serve as important examples when A = . and when A = K is a field, respectively.
马赛克
发表于 2025-3-27 04:15:14
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修正案
发表于 2025-3-27 07:01:21
Rings and Ideals (! p. 245) Let . be a subset of a ring ...Prove that (.) is the intersection of all ideals of . containing ..
油膏
发表于 2025-3-27 09:38:48
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COM
发表于 2025-3-27 14:23:39
Modules (→p. 290) We say that a generating set of an .-module . is . if none of its proper subsets is still a generating set of ..
暂停,间歇
发表于 2025-3-27 19:26:36
Tensor Product (→ p. 319) Let . be a ring, and let ., ., and . be .-modules.
反感
发表于 2025-3-28 00:43:27
Localization (→ p. 329) Let . be a finite ring, and let . . . be a multiplicative subset.
夜晚
发表于 2025-3-28 05:53:44
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Prosaic
发表于 2025-3-28 07:21:46
True or False? (→ p. 357) Let . be a ring, and let . . . be an ideal. An element . . . is not a zero-divisor in . if and only if . : (.) = ..
是剥皮
发表于 2025-3-28 12:01:40
Review Exercises (→ p. 372) Let . be a ring such that every prime ideal is finitely generated.