Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Equational theories of algebras with distributive congruences
HTML articles powered by AMS MathViewer

by R. Padmanabhan and R. W. Quackenbush
Proc. Amer. Math. Soc. 41 (1973), 373-377
DOI: https://doi.org/10.1090/S0002-9939-1973-0325498-2

Abstract:

If an equational class of algebras has the distributive or permutable congruence property then it is well known that it satisfies certain conditions, known as Mal’cev-type conditions. In this note such Mal’cev-type conditions are used to find minimal bases for certain equational theories of algebras. A typical result states that every finitely based equational theory of algebras with distributive and permutable congruences is one-based.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 08A25
  • Retrieve articles in all journals with MSC: 08A25
Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 41 (1973), 373-377
  • MSC: Primary 08A25
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0325498-2
  • MathSciNet review: 0325498