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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| Format: | Article |
| Language: | English |
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Wiley
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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| _version_ | 1832548305990582272 |
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| author | M. K. Sen N. K. Saha |
| author_facet | M. K. Sen N. K. Saha |
| author_sort | M. K. Sen |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f8b8fa11af864056ba274067ffc1b208 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f8b8fa11af864056ba274067ffc1b2082025-02-03T06:15:13ZengWileyInternational 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 |
| spellingShingle | M. K. Sen N. K. Saha Orthodox Γ-semigroups International Journal of Mathematics and Mathematical Sciences |
| title | Orthodox Γ-semigroups |
| title_full | Orthodox Γ-semigroups |
| title_fullStr | Orthodox Γ-semigroups |
| title_full_unstemmed | Orthodox Γ-semigroups |
| title_short | Orthodox Γ-semigroups |
| title_sort | orthodox γ semigroups |
| url | http://dx.doi.org/10.1155/S016117129000076X |
| work_keys_str_mv | AT mksen orthodoxgsemigroups AT nksaha orthodoxgsemigroups |