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Results tagged with ra.rings-and-algebras
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user 461
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
21
votes
Dimension of infinite product of vector spaces
Here is a self-contained version of Todd Trimble's wonderful answer.
Let $K$ be a field. "Vector space" shall mean "$K$-vector space", "linear" shall mean "$K$-linear", $\dim$ shall mean $\dim_K$, $\ …
17
votes
Accepted
"Sums-compact" objects = f.g. objects in categories of modules?
It seems to me the references in this Mathematics - Stack Exchange answer contain the requested information.
EDIT 1. Here is an excerpt from Hyman Bass's book Algebraic K-Theory, W. A. Benjamin (196 …
- 4,416
5
votes
Expressing $-\operatorname{adj}(A)$ as a polynomial in $A$?
EDIT OF AUG. 31, 2010. The proof of the Cayley-Hamilton Theorem I like best (among the ones I know) is on page 21 (proof of Proposition 2.4) of Introduction to Commutative Algebra by Atiyah and MacDon …
- 4,416