Some conditions related to the exactness of Rees–Sushkevich varieties

S. I. Kublanovsky; Edmond W. H. Lee; Norman R. Reilly

doi:10.1007/s00233-007-9003-y

Some conditions related to the exactness of Rees–Sushkevich varieties

S. I. Kublanovsky
, Edmond W. H. Lee
, Norman R. Reilly

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

This article presents some conditions, expressed in terms of the inclusion and exclusion of certain small semigroups, that are related to a Rees–Sushkevich variety being generated by completely 0-simple or completely simple semigroups.

Original language	American English
Pages (from-to)	87–94
Journal	Semigroup Forum
Volume	76
Issue number	1
DOIs	https://doi.org/10.1007/s00233-007-9003-y
State	Published - Jan 2008
Externally published	Yes

ASJC Scopus Subject Areas

Algebra and Number Theory

Keywords

Semigroup
Variety
Exact variety
Completely simple
Completely 0-simple
Rees–Sushkevich

Disciplines

Mathematics

Access to Document

10.1007/s00233-007-9003-y

Cite this

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title = "Some conditions related to the exactness of Rees–Sushkevich varieties",

abstract = "This article presents some conditions, expressed in terms of the inclusion and exclusion of certain small semigroups, that are related to a Rees–Sushkevich variety being generated by completely 0-simple or completely simple semigroups.",

keywords = "Semigroup, Variety, Exact variety, Completely simple, Completely 0-simple, Rees–Sushkevich",

author = "Kublanovsky, \{S. I.\} and Lee, \{Edmond W. H.\} and Reilly, \{Norman R.\}",

year = "2008",

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doi = "10.1007/s00233-007-9003-y",

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AU - Kublanovsky, S. I.

AU - Lee, Edmond W. H.

AU - Reilly, Norman R.

PY - 2008/1

Y1 - 2008/1

N2 - This article presents some conditions, expressed in terms of the inclusion and exclusion of certain small semigroups, that are related to a Rees–Sushkevich variety being generated by completely 0-simple or completely simple semigroups.

AB - This article presents some conditions, expressed in terms of the inclusion and exclusion of certain small semigroups, that are related to a Rees–Sushkevich variety being generated by completely 0-simple or completely simple semigroups.

KW - Semigroup

KW - Variety

KW - Exact variety

KW - Completely simple

KW - Completely 0-simple

KW - Rees–Sushkevich

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UR - https://www.scopus.com/pages/publications/35448975792

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DO - 10.1007/s00233-007-9003-y

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JO - Semigroup Forum

JF - Semigroup Forum

IS - 1

ER -

Some conditions related to the exactness of Rees–Sushkevich varieties

Abstract

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

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