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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.
3
votes
Definition of an algebra over a noncommutative ring
This is a follow-up to the answer by Zoran Skoda, applicable to the case where one requires "algebras" to be associative and have a unit.
I'd like to point out that a monoid $(A,\mu,\eta)$ internal t …
3
votes
Gelfand-Kirillov dimension of generalized Weyl algebras
This is addressed in the section "GK Dimension" of Ebrahim - The prime spectrum and representation theory of the 2×2 reflection equation algebra.
If the automorphism $\sigma$ is locally algebraic, th …