On left C - 𝒰 -liberal semigroups

Yong He; Fang Shao; Shi-qun Li; Wei Gao

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 4, page 1085-1108
  • ISSN: 0011-4642

Abstract

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In this paper the equivalence 𝒬 ˜ U on a semigroup S in terms of a set U of idempotents in S is defined. A semigroup S is called a 𝒰 -liberal semigroup with U as the set of projections and denoted by S ( U ) if every 𝒬 ˜ U -class in it contains an element in U . A class of 𝒰 -liberal semigroups is characterized and some special cases are considered.

How to cite

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He, Yong, et al. "On left $C$-$\mathcal {U}$-liberal semigroups." Czechoslovak Mathematical Journal 56.4 (2006): 1085-1108. <http://eudml.org/doc/31092>.

@article{He2006,
abstract = {In this paper the equivalence $\tilde\{\mathcal \{Q\}\}^U$ on a semigroup $S$ in terms of a set $U$ of idempotents in $S$ is defined. A semigroup $S$ is called a $\mathcal \{U\}$-liberal semigroup with $U$ as the set of projections and denoted by $S(U)$ if every $\tilde\{\mathcal \{Q\}\}^U$-class in it contains an element in $U$. A class of $\mathcal \{U\}$-liberal semigroups is characterized and some special cases are considered.},
author = {He, Yong, Shao, Fang, Li, Shi-qun, Gao, Wei},
journal = {Czechoslovak Mathematical Journal},
keywords = {equivalence $\tilde\{\mathcal \{Q\}\}^U$; left $C$-$\mathcal \{U\}$-liberal semigroup; left semi-spined product; band-formal construction; left $C$-liberal semigroup; equivalences; left liberal semigroups; left semi-spined products; idempotents},
language = {eng},
number = {4},
pages = {1085-1108},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On left $C$-$\mathcal \{U\}$-liberal semigroups},
url = {http://eudml.org/doc/31092},
volume = {56},
year = {2006},
}

TY - JOUR
AU - He, Yong
AU - Shao, Fang
AU - Li, Shi-qun
AU - Gao, Wei
TI - On left $C$-$\mathcal {U}$-liberal semigroups
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 4
SP - 1085
EP - 1108
AB - In this paper the equivalence $\tilde{\mathcal {Q}}^U$ on a semigroup $S$ in terms of a set $U$ of idempotents in $S$ is defined. A semigroup $S$ is called a $\mathcal {U}$-liberal semigroup with $U$ as the set of projections and denoted by $S(U)$ if every $\tilde{\mathcal {Q}}^U$-class in it contains an element in $U$. A class of $\mathcal {U}$-liberal semigroups is characterized and some special cases are considered.
LA - eng
KW - equivalence $\tilde{\mathcal {Q}}^U$; left $C$-$\mathcal {U}$-liberal semigroup; left semi-spined product; band-formal construction; left $C$-liberal semigroup; equivalences; left liberal semigroups; left semi-spined products; idempotents
UR - http://eudml.org/doc/31092
ER -

References

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