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Coproduct of Crossed A-Modules of R-Algebroids

100%

Avcıoglu O., Akça I. I.

Topological Algebra and its Applications

2017

tom 5

nr 1

37-48

In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ᴼ⋉ N by using the semidirect product M ⋉ N of M and N via μ. Finally we construct an isomorphism betweenM ᴼ* N and M ᴼ⋉ N.

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Wreath product of a semigroup and a Γ-semigroup

72%

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

1 Discussiones Mathematicae - General Algebra and Applications

1 Topological Algebra and its Applications

1 Akça I. I.

1 Avcıoglu O.

1 Chattopadhyay S.

1 Sen M.

1 2017

1 2008

Wyniki wyszukiwania

Coproduct of Crossed A-Modules of R-Algebroids

Wreath product of a semigroup and a Γ-semigroup