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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Commutator theory for relatively modular quasivarieties
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by Keith Kearnes and Ralph McKenzie PDF
Trans. Amer. Math. Soc. 331 (1992), 465-502 Request permission

Abstract:

We develop a commutator theory for relatively modular quasivarieties that extends the theory for modular varieties. We characterize relatively modular quasivarieties, prove that they have an almost-equational axiomatization and we investigate the lattice of subquasivarieties. We derive the result that every finitely generated, relatively modular quasivariety of semigroups is finitely based.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 331 (1992), 465-502
  • MSC: Primary 08C15; Secondary 08B10
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1062872-X
  • MathSciNet review: 1062872