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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.

4 votes

Shape of axioms in algebraic structures

x = "preservation". Usually one is motivated to study a structure because it serves as a model for something of interest. Likewise a certain statement or class of statements may have nice consequenc …
The Masked Avenger's user avatar
3 votes

Generalizing the commutator and anti-commutator

It should be noted that commutator has been generalized to congruences for results in universal algebra. Look up reviews of "Commutator Theory For Congruence Modular Varieties" by Freese and McKenzi …
The Masked Avenger's user avatar