Projectively condensed semigroups, generalized completely regular semigroups and projective orthomonoids

Abstract

The class PC of projectively condensed semigroups is a quasivariety of unary semigroups, the class of projective orthomonoids is a subquasivariety of PC. Some well-known classes of generalized completely regular semigroups will be regarded as subquasivarieties of PC. We give the structure semilattice composition and the standard representation of projective orthomonoids, and then obtain the structure theorems of various generalized orthogroups.

Internet Security Applications of Gröbner-Shirshov Bases

“…Let us refer, for example, to [13,14,16,18,19,21] for examples of recent related results. Suppose that S = M 0 (G; I, Λ; P ) is a Rees matrix semigroup and T is a subsemigroup in S. Denote by L = L(T ) the set…”

Good B-quasi-Ehresmann semigroups

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A generalized Clifford theorem of semigroups

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