scholarly journals Projection-primitive $ P $-Ehresmann semigroups

2021 ◽  
Vol 6 (7) ◽  
pp. 7044-7055
Author(s):  
Shoufeng Wang ◽  
Keyword(s):  
Ehresmann Semigroups

Good B-quasi-Ehresmann semigroups

2010 ◽  
Vol 53 (5) ◽  
pp. 1345-1356 ◽  
Author(s):  
Yong He ◽  
KarPing Shum ◽  
ZhengPan Wang
Keyword(s):  
Ehresmann Semigroups

scholarly journals Algebras of Ehresmann semigroups and categories

2016 ◽  
Vol 95 (3) ◽  
pp. 509-526 ◽  
Author(s):  
Itamar Stein
Keyword(s):  
Ehresmann Semigroups

Quasi-C-Ehresmann Semigroups and Their Subclasses

2005 ◽  
Vol 70 (3) ◽  
pp. 369-390 ◽  
Author(s):  
Gang Li ◽  
Y.Q. Guo ◽  
K.P. Shum
Keyword(s):  
Ehresmann Semigroups

scholarly journals On generalized Ehresmann semigroups

2017 ◽  
Vol 15 (1) ◽  
pp. 1132-1147
Author(s):  
Shoufeng Wang
Keyword(s):  
Inverse Semigroups ◽  
Inverse Transversal ◽  
Regular Semigroups ◽  
Admissible Triple ◽  
Orthodox Semigroups ◽  
Ehresmann Semigroups

Abstract As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature. In particular, Gomes and Gould construct a fundamental Ehresmann semigroup CE from a semilattice E which plays for Ehresmann semigroups the role that TE plays for inverse semigroups, where TE is the Munn semigroup of a semilattice E. From a varietal perspective, Ehresmann semigroups are derived from reduction of inverse semigroups. In this paper, from varietal perspective Ehresmann semigroups are extended to generalized Ehresmann semigroups derived instead from normal orthodox semigroups (i.e. regular semigroups whose idempotents form normal bands) with an inverse transversal. We present here a semigroup C(I,Λ,E∘) from an admissible triple (I, Λ, E∘) that plays for generalized Ehresmann semigroups the role that CE from a semilattice E plays for Ehresmann semigroups. More precisely, we show that a semigroup is a fundamental generalized Ehresmann semigroup whose admissible triple is isomorphic to (I, Λ, E∘) if and only if it is (2,1,1,1)-isomorphic to a quasi-full (2,1,1,1)-subalgebra of C(I,Λ,E∘). Our results generalize and enrich some results of Fountain, Gomes and Gould on weakly E-hedges semigroups and Ehresmann semigroups.

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