Equations on the semidirect product of a finite semilattice by a finite commutative monoid

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)

Francine Blanchet-Sadri, Professor (Creator)

Institution

The University of North Carolina at Greensboro (UNCG )

Web Site: http://library.uncg.edu/

Abstract: Let Com_t,q denote the variety of finite monoids that satisfy the equations xy = yx and x^t = x^t+q . The variety Com_1,1 is the variety of finite semilattices also denoted by J₁. In this paper, we consider the product variety J₁*Com_t,q generated by all semidirect products of the form M * N with M ∈ J₁ and N ∈ Com_t,q. We give a complete sequence of equations for J₁ * Com_t,q implying complete sequences of equations for J₁ * (Com∩ A), J₁ * (Com∩ G) and J₁ * Com, where Com denotes the variety of finite commutative monoids, A the variety of finite aperiodic monoids and G the variety of finite groups.

Equations on the semidirect product of a finite semilattice by a finite commutative monoid
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Additional Information

Publication

Semigroup Forum, Vol. 49, No. 1, 1994, pp 67-81.

Language: English

Date: 1994

Keywords

Equations, Mathematical models, Mathematical analysis, Semilattice, Monoid, Products

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