Characterizations of gamma-AG^{}-groupoids by the properties their gamma-ideals
In this paper we have discusses {\Gamma}-left, {\Gamma}-right, {\Gamma}-bi-, {\Gamma}-quasi-, {\Gamma}-interior and {\Gamma}-ideals in {\Gamma}-AG^{**}-groupoids and regular {\Gamma}-AG^{**}-groupoids. Moreover we have proved that the set of {\Gamma}-ideals in a regular {\Gamma}-AG^{**}-groupoid for...
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Sprache: | eng |
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Zusammenfassung: | In this paper we have discusses {\Gamma}-left, {\Gamma}-right, {\Gamma}-bi-,
{\Gamma}-quasi-, {\Gamma}-interior and {\Gamma}-ideals in
{\Gamma}-AG^{**}-groupoids and regular {\Gamma}-AG^{**}-groupoids. Moreover we
have proved that the set of {\Gamma}-ideals in a regular
{\Gamma}-AG^{**}-groupoid form a semilattice structure. Also we have
characterized a regular {\Gamma}-AG^{**}-groupoid in terms of left ideals. |
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DOI: | 10.48550/arxiv.1012.1923 |