Epimorphically closed permutative varieties
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- by N. M. Khan PDF
- Trans. Amer. Math. Soc. 287 (1985), 507-528 Request permission
Abstract:
We show that for semigroups all permutation identities are preserved under epis and that all subvarieties of the permutative variety defined by any permutation identity \[ {x_1}{x_2} \cdots {x_n} = {x_{{i_1}}}{x_{{i_2}}} \cdots {x_{{i_n}}},\] with $n \geqslant 3$ and such that ${i_n} \ne n$ or ${i_1} \ne 1$, are closed under epis. Finally we find some sufficient conditions that an identity be preserved under epis in conjunction with any nontrivial permutation identity.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 287 (1985), 507-528
- MSC: Primary 20M07
- DOI: https://doi.org/10.1090/S0002-9947-1985-0768723-9
- MathSciNet review: 768723