Articles liés à Completely Regular Semirings

Completely Regular Semirings - Couverture souple

Maity, Sunil Kumar

 
9783659488153: Completely Regular Semirings
Couverture souple
ISBN 10 : 3659488151 ISBN 13 : 9783659488153
Editeur : LAP LAMBERT Academic Publishing, 2013

Synopsis

Completely regular semigroup plays an important role in semigroup theory. Completely regular semigroups are nothing but union of its maximal subgroups. Similar to semigroup, one may ask whether we can extend completely regular semigroups to completely regular semirings so that completely regular semiring would have analogous properties as completely regular semigroup? In order to answer this question, we defined completely regular semiring and show that any completely regular semiring can be expressed as a union of skew-rings. Also here we have characterized completely simple semirings and finally established that a semiring is completely simple if and only if it isomorphic to a Rees matrix semiring. In this connection we defined Clifford semirings, generalized Clifford semirings, semisimple Clifford semirings and studied their properties.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Completely regular semigroup plays an important role in semigroup theory. Completely regular semigroups are nothing but union of its maximal subgroups. Similar to semigroup, one may ask whether we can extend completely regular semigroups to completely regular semirings so that completely regular semiring would have analogous properties as completely regular semigroup? In order to answer this question, we defined completely regular semiring and show that any completely regular semiring can be expressed as a union of skew-rings. Also here we have characterized completely simple semirings and finally established that a semiring is completely simple if and only if it isomorphic to a Rees matrix semiring. In this connection we defined Clifford semirings, generalized Clifford semirings, semisimple Clifford semirings and studied their properties.

Biographie de l'auteur

Obtained his Ph. D degree from University of Calcutta, India under the supervision of Dr. M. K. Sen. His research work is in Abstract Algebra. He is now an Assistant Professor in Mathematics, Burdwan University, West Bengal, India. He is teaching Abstract Algebra and Graph Theory more than six years.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2013
Langue
anglais
ISBN 10 
3659488151
ISBN 13 
9783659488153
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
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