On completely 0-simple semigroups
Let S be a completely 0-simple semigroup and F be an algebraically closed field. Then for each 0-minimal right ideal M of S, M=B∪C∪{0}, where B is a right group and C is a zero semigroup. Also, a matrix representation for S other than Rees matrix is found for the condition that the semigroup ring R(...
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000713 |
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| _version_ | 1832566696513110016 |
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| author | Yue-Chan Phoebe Ho |
| author_facet | Yue-Chan Phoebe Ho |
| author_sort | Yue-Chan Phoebe Ho |
| collection | DOAJ |
| description | Let S be a completely 0-simple semigroup and F be an algebraically closed field.
Then for each 0-minimal right ideal M of S, M=B∪C∪{0}, where B is a right group and C
is a zero semigroup. Also, a matrix representation for S other than Rees matrix is found for the
condition that the semigroup ring R(F,S) is semisimple Artinian. |
| format | Article |
| id | doaj-art-a3048ddefed540fcb7b33491841c4953 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a3048ddefed540fcb7b33491841c49532025-02-03T01:03:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119350752010.1155/S0161171296000713On completely 0-simple semigroupsYue-Chan Phoebe Ho0Department of Mathematics and Computer Science, Central Missouri State University, Warrensburg 64093, MO, USALet S be a completely 0-simple semigroup and F be an algebraically closed field. Then for each 0-minimal right ideal M of S, M=B∪C∪{0}, where B is a right group and C is a zero semigroup. Also, a matrix representation for S other than Rees matrix is found for the condition that the semigroup ring R(F,S) is semisimple Artinian.http://dx.doi.org/10.1155/S0161171296000713completely 0-simple semigroups0-minimal right idealsright groupszero semigroupsrepresentation of semigroupssemisimple Artinian semigroup rings. |
| spellingShingle | Yue-Chan Phoebe Ho On completely 0-simple semigroups International Journal of Mathematics and Mathematical Sciences completely 0-simple semigroups 0-minimal right ideals right groups zero semigroups representation of semigroups semisimple Artinian semigroup rings. |
| title | On completely 0-simple semigroups |
| title_full | On completely 0-simple semigroups |
| title_fullStr | On completely 0-simple semigroups |
| title_full_unstemmed | On completely 0-simple semigroups |
| title_short | On completely 0-simple semigroups |
| title_sort | on completely 0 simple semigroups |
| topic | completely 0-simple semigroups 0-minimal right ideals right groups zero semigroups representation of semigroups semisimple Artinian semigroup rings. |
| url | http://dx.doi.org/10.1155/S0161171296000713 |
| work_keys_str_mv | AT yuechanphoebeho oncompletely0simplesemigroups |