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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 …
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 …