ENUMERATION OF Γ-GROUPS OF FINITE ORDER

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 1

Abstract

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.

Authors and Affiliations

Dariush Heidari, Marzieh Amooshahi

Keywords

Related Articles

GENERALIZED DERIVATIONS WITH LEFT ANNIHILATOR CONDITIONS IN PRIME AND SEMIPRIME RINGS

Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R. The left annihilator of S...

CONRAD’S PARTIAL ORDER ON P.Q.-BAER ∗-RINGS

We prove that a p.q.-Baer ∗-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer ∗-rings which are lattices. The initial segments of a p.q.-Baer ∗-ring with the Conrad’s partial order a...

Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings

Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R. The left annihilator of S...

Completely Archimedean Semirings

In this paper we give a structural description of completely Archimedean semirings which is an extension of the structure theorem of completely Archimedean semigroups.

Congruences and Boolean filters of quasi-modular p-algebras

The concept of Boolean filters in p-algebras is introduced. Some properties of Boolean filters are studied. It is proved that the class of all Boolean filters BF(L) of a quasi-modular p-algebra L is a bounded distributiv...

Download PDF file
  • EP ID EP304455
  • DOI 10.7151/dmgaa.1228
  • Views 33
  • Downloads 0

How To Cite

Dariush Heidari, Marzieh Amooshahi (2015). ENUMERATION OF Γ-GROUPS OF FINITE ORDER. Discussiones Mathematicae - General Algebra and Applications, 35(1), -. https://europub.co.uk/articles/-A-304455