Murskii's algebra does not satisfy min-Reference-Cited by-同舟云学术

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Murskii's algebra does not satisfy min

Published:1980-10 Issue:2 Volume:22 Page:199-203
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Oates-Williams Sheila

Abstract

This note shows that the variety generated by Murskii's 3-element algebra contains an infinite descending chain of subvarieties, thus falsifying a conjecture made previously by the author and M.R. Vaughan-Lee.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference3 articles.

1. The existence in three-valued logic of a closed class with finite basis, not having a finite complete system of identities;Murskii˘;Soviet Math. Dokl.,1965

2. Varieties that make one Cross

3. [3] Shallon Caroline Ruth , “Non-finitely based binary algebras derived from lattices” (PhD thesis, University of California, Los Angeles, 1979).

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Syntactic semigroups and graph algebras;Bulletin of the Australian Mathematical Society;2000-12

2. Universal algebras;Journal of Soviet Mathematics;1991-11

3. Graph algebras and graph varieties;Algebra Universalis;1990-12

4. Graph varieties containing Murskii's groupoid;Bulletin of the Australian Mathematical Society;1989-04

5. The dimension of graphs with respect to the direct powers of a two-element graph;Bulletin of the Australian Mathematical Society;1987-10

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