Abstract
Hyperidentities and hypervarieties have been defined by Taylor in [5]. A hypervariety is a class of varieties closed under the formation of equivalent, product, reduct and subvarieties. Hyperidentities are used to define hypervarieties, in the same way that ordinary identities define varieties. This paper produces some hyperidentities satisfied by various varieties of commutative semigroups, and identifies some restrictions as to what kind of hyperidentities such varieties can satisfy. It also continues the study, begun in [6], of the closure and hypervariety operators defined there, as they apply to varieties of commutative semigroups.
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Wismath, S. L.,Hyperidentities for some varieties of semigroups, to appear in Algebra Universalis.
Wismath, S. L.,Joins of some varieties of semigroups, submitted.
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The results described in this paper form part of the author's Ph.D thesis, submitted to Simon Fraser University, Burnaby, Canada. The author is grateful for the help of her supervisor, Dr. N. R. Reilly, and for the financial support received from Simon Fraser University.
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Wismath, S.L. Hyperidentities for some varieties of commutative semigroups. Algebra Universalis 28, 245–273 (1991). https://doi.org/10.1007/BF01190855
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DOI: https://doi.org/10.1007/BF01190855