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Enumeration of Γ-groups of finite order

100%

Heidari D., Amooshahi M.

Discussiones Mathematicae - General Algebra and Applications

2015

tom 35

nr 1

33-39

The concept of Γ-semigroups is a generalization of semigroups. In this paper, we consider Γ-groups and prove that every Γ-group is derived from a group then, we give the number of Γ-groups of small order.

Transformation semigroups associated to Γ-semigroups

80%

Heidari D., Amooshahi M.

Discussiones Mathematicae - General Algebra and Applications

2013

tom 33

nr 2

249-259

The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green's equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.

Wreath product of a semigroup and a Γ-semigroup

51%

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.

Ograniczanie wyników

3 Discussiones Mathematicae - General Algebra and Applications

2 Amooshahi M.

2 Heidari D.

1 Chattopadhyay S.

1 Sen M.

1 2015

1 2013

1 2008

Wyniki wyszukiwania

Enumeration of Γ-groups of finite order

Transformation semigroups associated to Γ-semigroups

Wreath product of a semigroup and a Γ-semigroup