Orthodox Γ-semigroups
Let M={a,b,c,…} and Γ={α,β,γ,…} be two non-empty sets. M is called a Γ-semigroup if aαb∈M, for α∈Γ and b∈M and (aαb)βc=aα(bβc), for all a,b,c∈M and for all α,β∈Γ. A semigroup can be considered as a Γ-semigroup. In this paper we introduce orthodox Γ-semigroups and extend different results of orthodox...
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Hindawi Limited
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117129000076X |
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doaj-f8b8fa11af864056ba274067ffc1b2082020-11-24T21:52:08ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113352753410.1155/S016117129000076XOrthodox Γ-semigroupsM. K. Sen0N. K. Saha1Department of Pure Mathematics, 35, Ballygunge Circular Road, Calcutta 700 019, IndiaDepartment of Mathematics, Pingla Thana Mahavidyalaya, P.O. Maligram, Dist. Midnapore, Pin, 721 140, IndiaLet M={a,b,c,…} and Γ={α,β,γ,…} be two non-empty sets. M is called a Γ-semigroup if aαb∈M, for α∈Γ and b∈M and (aαb)βc=aα(bβc), for all a,b,c∈M and for all α,β∈Γ. A semigroup can be considered as a Γ-semigroup. In this paper we introduce orthodox Γ-semigroups and extend different results of orthodox semigroups to orthodox Γ-semigroups.http://dx.doi.org/10.1155/S016117129000076X |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. K. Sen N. K. Saha |
| spellingShingle |
M. K. Sen N. K. Saha Orthodox Γ-semigroups International Journal of Mathematics and Mathematical Sciences |
| author_facet |
M. K. Sen N. K. Saha |
| author_sort |
M. K. Sen |
| title |
Orthodox Γ-semigroups |
| title_short |
Orthodox Γ-semigroups |
| title_full |
Orthodox Γ-semigroups |
| title_fullStr |
Orthodox Γ-semigroups |
| title_full_unstemmed |
Orthodox Γ-semigroups |
| title_sort |
orthodox γ-semigroups |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1990-01-01 |
| description |
Let M={a,b,c,…} and Γ={α,β,γ,…} be two non-empty sets. M is called a Γ-semigroup if aαb∈M, for α∈Γ and b∈M and (aαb)βc=aα(bβc), for all a,b,c∈M and for all α,β∈Γ. A semigroup can be considered as a Γ-semigroup. In this paper we introduce orthodox Γ-semigroups and extend different results of orthodox semigroups to orthodox Γ-semigroups. |
| url |
http://dx.doi.org/10.1155/S016117129000076X |
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AT mksen orthodoxgsemigroups AT nksaha orthodoxgsemigroups |
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1725876708139073536 |