Orders in Strict Regular Semigroups

Petrich, Mario

doi:10.1007/s006050050079

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A Semigroup S Is An Order In a Clifford Semigroup If And Onl2

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Cited by 2 publications

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“…For aeS a and beSp, we set 8(a,b) = a/5, the product in the semilattice Y. This yields S = (Y; S°a, Q°a, y a ,p) as in ( [11], Construction 3.3). By the cited theorem, we have Q -(Y; Q°a, (Pa.p), which is a strict regular semigroup whose .^-classes are subsemigroups.…”

Section: A Semigroup S Is An Order In a Clifford Semigroup If And Onlmentioning

confidence: 99%

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Orders in completely regular semigroups

Petrich

2001

Mathematika

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Section: A Semigroup S Is An Order In a Clifford Semigroup If And Onlmentioning

confidence: 99%

“…By the cited theorem, we have Q -(Y; Q°a, (Pa.p), which is a strict regular semigroup whose .^-classes are subsemigroups. Now ( [10], Theorem IV.4.3) implies that Q is a normal cryptogroup; by ( [11], Theorem 3.4) S is an order in Q.…”

Section: A Semigroup S Is An Order In a Clifford Semigroup If And Onlmentioning

confidence: 99%

Orders in completely regular semigroups

Petrich

2001

Mathematika

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Structure of Strict Abundant Semigroups

Chen

Yang²,

Gan

2019

Algebra Colloq.

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We introduce a new class of semigroups called strict abundant semigroups, which are concordant semigroups and subdirect products of completely [Formula: see text]-simple abundant semigroups and completely 0-[Formula: see text]-simple primitive abundant semigroups. A general construction and a tree structure of such semigroups are established. Consequently, the corresponding structure theorems for strict regular semigroups given by Auinger in 1992 and by Grillet in 1995 are generalized and extended. Finally, an example of strict abundant semigroups is also given.

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Orders in Strict Regular Semigroups

Cited by 2 publications

References 5 publications

Orders in completely regular semigroups

Orders in completely regular semigroups

Structure of Strict Abundant Semigroups

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