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Wreath product of a semigroup and a Γ-semigroup

100%

Sen M., Chattopadhyay S.

Discussiones Mathematicae - General Algebra and Applications

2008

tom 28

nr 2

161-178

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.

Clifford semifields

81%

Sen M., Maity S., Shum K.-P.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 1

125-135

It is well known that a semigroup S is a Clifford semigroup if and only if S is a strong semilattice of groups. We have recently extended this important result from semigroups to semirings by showing that a semiring S is a Clifford semiring if and only if S is a strong distributive lattice of skew-rings. In this paper, we introduce the notions of Clifford semidomain and Clifford semifield. Some structure theorems for these semirings are obtained.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

2 Sen M.

1 Chattopadhyay S.

1 Maity S.

1 Shum K.-P.

1 2008

1 2004

Wyniki wyszukiwania

Wreath product of a semigroup and a Γ-semigroup

Clifford semifields