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- W2898865889 abstract "We show that a class of algebras is closed under the taking of homomorphic images and direct products if and only if the class consists of all algebras that satisfy a set of (generally simultaneous) equations. For classes of regular semigroups in particular this allows an interpretation of a universal algebraic nature that is formulated entirely in terms of the associative binary operation of the semigroup, which serves as an alternative to the approach via so called e-varieties. In particular we prove that classes of Inverse semigroups, Orthodox semigroups, and $E$-solid semigroups are equational in our sense." @default.
- W2898865889 created "2018-11-09" @default.
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- W2898865889 date "2018-10-30" @default.
- W2898865889 modified "2023-09-27" @default.
- W2898865889 title "Algebras defined by equations" @default.
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