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SLENDER SEMIGROUPS

delete2026-04-01
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PRE
AI
N
Nagy, Attila *
DOI:10.1017/s0004972726101166delete
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Abstract

Abstract

En 中文
We define the concept of slenderness for arbitrary semigroups containing at least one idempotent element, and give necessary and sufficient conditions for semigroups to be slender. We describe the semigroup of all homomorphisms of the direct product of a nonempty family of groups into a slender rectangular abelian group.
Keywords:
group
semigroup

Journal

B
Bulletin of the Australian Mathematical Society
IF:
0.5
Papers:
79
Citations:
0

Organization

B
budapest university of technology & economics
Scholars:
5.7K
Papers: 5.1K
Citations: 1
Cited Papers

Cited Papers

Abelian Groups
err2015-01-01
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PREAI
errLászló Fuchs
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Special Classes of Semigroups
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IF0
err2001-01-01
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PREAI
errNagy,Attila
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Unions of slender groups
err2006-07-01
err0
PREAI
errFuchs,Laszlo; Göbel,Rüdiger
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Fundamentals of Semigroup Theory
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IF0
err2023-10-31
err0
PREAI
errJohn M Howie
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On stout and slender groups
err1975-06-01
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PREAI
errGöbel,Rüdiger
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A note on slender groups
err1978-12-01
err0
PREAI
errWald,Burkhard
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