A simplification of D'Alarcao's idempotent separating extensions of inverse semigroups
In [2] D'Alarcao states necessary and sufficient conditions for the attainment of an idempotent-separating extension of an inverse semigroup. To do this D'Alarcao needed essentially three mappings satisfying thirteen conditions. In this paper we show that one can achieve the same results w...
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| Format: | Article |
| Language: | English |
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Wiley
1978-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171278000393 |
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| _version_ | 1832561150797021184 |
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| author | Constance C. Edwards |
| author_facet | Constance C. Edwards |
| author_sort | Constance C. Edwards |
| collection | DOAJ |
| description | In [2] D'Alarcao states necessary and sufficient conditions for the attainment of an idempotent-separating extension of an inverse semigroup. To do this D'Alarcao needed essentially three mappings satisfying thirteen conditions. In this paper we show that one can achieve the same results with two mappings satisfying eight conditions. |
| format | Article |
| id | doaj-art-705cb67189fa4c6b8a41d36dbd3f4e96 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1978-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-705cb67189fa4c6b8a41d36dbd3f4e962025-02-03T01:25:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251978-01-011339339610.1155/S0161171278000393A simplification of D'Alarcao's idempotent separating extensions of inverse semigroupsConstance C. Edwards0Department of Mathematical Sciences, Indiana University-Purdue University at Fort Wayne, Fort Wayne 46805, Indiana, USAIn [2] D'Alarcao states necessary and sufficient conditions for the attainment of an idempotent-separating extension of an inverse semigroup. To do this D'Alarcao needed essentially three mappings satisfying thirteen conditions. In this paper we show that one can achieve the same results with two mappings satisfying eight conditions.http://dx.doi.org/10.1155/S0161171278000393inverse semigroup and idempotent-separating extension. |
| spellingShingle | Constance C. Edwards A simplification of D'Alarcao's idempotent separating extensions of inverse semigroups International Journal of Mathematics and Mathematical Sciences inverse semigroup and idempotent-separating extension. |
| title | A simplification of D'Alarcao's idempotent separating extensions
of inverse semigroups |
| title_full | A simplification of D'Alarcao's idempotent separating extensions
of inverse semigroups |
| title_fullStr | A simplification of D'Alarcao's idempotent separating extensions
of inverse semigroups |
| title_full_unstemmed | A simplification of D'Alarcao's idempotent separating extensions
of inverse semigroups |
| title_short | A simplification of D'Alarcao's idempotent separating extensions
of inverse semigroups |
| title_sort | simplification of d alarcao s idempotent separating extensions of inverse semigroups |
| topic | inverse semigroup and idempotent-separating extension. |
| url | http://dx.doi.org/10.1155/S0161171278000393 |
| work_keys_str_mv | AT constancecedwards asimplificationofdalarcaosidempotentseparatingextensionsofinversesemigroups AT constancecedwards simplificationofdalarcaosidempotentseparatingextensionsofinversesemigroups |