A new example of limit variety

1989 ◽  
Vol 38 (1) ◽  
pp. 283-303 ◽  
Author(s):  
György Pollák
Keyword(s):  
Limit Variety

FINITELY GENERATED LIMIT VARIETIES OF APERIODIC MONOIDS WITH CENTRAL IDEMPOTENTS

2009 ◽  
Vol 08 (06) ◽  
pp. 779-796 ◽  
Author(s):  
EDMOND W. H. LEE
Keyword(s):  
Present Article ◽  
Variety Of Algebras ◽  
Finitely Based ◽  
Finitely Generated ◽  
Finitely Based Variety ◽  
Limit Variety ◽  
Aperiodic Monoids

A non-finitely based variety of algebras is said to be a limit variety if all its proper subvarieties are finitely based. Recently, Marcel Jackson published two examples of finitely generated limit varieties of aperiodic monoids with central idempotents and questioned whether or not they are unique. The present article answers this question affirmatively.

A SUFFICIENT CONDITION UNDER WHICH A SEMIGROUP IS NONFINITELY BASED

2015 ◽  
Vol 93 (3) ◽  
pp. 454-466
Author(s):  
WEN TING ZHANG ◽  
YAN FENG LUO
Keyword(s):  
Forthcoming Paper ◽  
Additional Analysis ◽  
Sufficient Condition ◽  
Limit Variety ◽  
Aperiodic Monoids ◽  
Nonfinitely Based

We give a sufficient condition under which a semigroup is nonfinitely based. As an application, we show that a certain variety is nonfinitely based, and we indicate the additional analysis (to be presented in a forthcoming paper), which shows that this example is a new limit variety of aperiodic monoids.

An example of a limit variety of semigroups

1982 ◽  
Vol 24 (1) ◽  
pp. 319-326 ◽  
Author(s):  
M. V. Volkov
Keyword(s):  
Variety Of Semigroups ◽  
Limit Variety

LIMIT VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS

2011 ◽  
Vol 21 (01n02) ◽  
pp. 257-294 ◽  
Author(s):  
EDMOND W. H. LEE ◽  
MIKHAIL V. VOLKOV
Keyword(s):  
Infinite Series ◽  
Simple Semigroup ◽  
Limit Variety ◽  
Abelian Subgroups ◽  
Semigroup Varieties ◽  
Nonfinitely Based

A limit variety is a variety that is minimal with respect to being nonfinitely based. This paper presents a new infinite series of limit semigroup varieties, each of which is generated by a finite 0-simple semigroup with Abelian subgroups. These varieties exhaust all limit varieties generated by completely 0-simple semigroups with Abelian subgroups.

scholarly journals A new example of a limit variety of monoids

2019 ◽  
Vol 101 (1) ◽  
pp. 102-120
Author(s):  
S. V. Gusev
Keyword(s):  
Limit Variety

Existence of a new limit variety of aperiodic monoids

2012 ◽  
Vol 86 (1) ◽  
pp. 212-220 ◽  
Author(s):  
Wen Ting Zhang
Keyword(s):  
Limit Variety ◽  
Aperiodic Monoids
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