Existence of finite bases for quasi-equations of unary algebras with 0-Reference-Cited by-同舟云学术

Existence of finite bases for quasi-equations of unary algebras with 0

Published:2015-09 Issue:06 Volume:25 Page:927-950
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Casperson D.¹,Hyndman J.²,Mason J.²,Nation J. B.³,Schaan B.²

Affiliation:

1. Department of Computer Science, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada

2. Department of Mathematics and Statistics, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada

3. Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA

Abstract

A finite unary algebra of finite type with a constant function 0 that is a one-element subalgebra, and whose operations have range {0, 1}, is called a {0, 1}-valued unary algebra with 0. Such an algebra has a finite basis for its quasi-equations if and only if the relation defined by the rows of the nontrivial functions in the clone form an order ideal.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196715500265

Reference9 articles.

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5. Siberian School of Algebra and Logic;Gorbunov V. A.,1998

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