Wreath product of a semigroup and a Γ-semigroup
Mridul K. Sen ; Sumanta Chattopadhyay
Discussiones Mathematicae - General Algebra and Applications, Tome 28 (2008), p. 161-178 / Harvested from The Polish Digital Mathematics Library
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Let S = {a,b,c,...} and Γ = {α,β,γ,...} be two nonempty sets. S is called a Γ -semigroup if aαb ∈ S, for all α ∈ Γ and a,b ∈ S and (aαb)βc = aα(bβc), for all a,b,c ∈ S and for all α,β ∈ Γ. In this paper we study the semidirect product of a semigroup and a Γ-semigroup. We also introduce the notion of wreath product of a semigroup and a Γ-semigroup and investigate some interesting properties of this product.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:276937 
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     year = {2008},
     pages = {161-178},
     zbl = {1195.20067},
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Mridul K. Sen; Sumanta Chattopadhyay. Wreath product of a semigroup and a Γ-semigroup. Discussiones Mathematicae - General Algebra and Applications, Tome 28 (2008) pp. 161-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1141/

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