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Venus Amjad, Kostaq Hila, and Faisal Yousafzai
Generalized hyperideals in locally associative left almost semihypergroups view print
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| Published: |
November 26, 2014
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| Keywords: |
LA-semihypergroups, locally associative LA-semihypergroups, pure left identity and (m,n)-hyperideals |
| Subject: |
20M10, 20N99 |
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Abstract
In this paper, we introduce the
concept of a locally associative LA-semihypergroup by
generalizing the idea of a locally associative LA-semigroup given in
Mushtaq-Yusuf, 1979, and study an (m,n)-regular class of
a locally associative LA-semihypergroup. We give some
examples to connect an LA-semihypergroup with commutative
hypergroups and commutative semihypergroups. We also characterize a
locally associative LA-semihypergroup H in
terms of (m,n)-hyperideals and prove that if R(L) is a 0-minimal right (left) hyperideal of H, then either Rm∘ Ln={0} or Rm∘ Ln is a 0-minimal (m,n)-hyperideal of H for m,n≧ 2.
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| Acknowledgements
The third author is highly thankful to CAS-TWAS President's Fellowship.
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| Author information
Venus Amjad:
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
venusmath@yahoo.com
Kostaq Hila:
Department of Mathematics & Computer Science, University of Gjirokastra, Gjirokastra, Albania
kostaq_hila@yahoo.com
Faisal Yousafzai:
School of Mathematical Sciences, University of Science and Technology of China, Hefei, China
yousafzaimath@gmail.com
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