Completely Regular Semirings - Softcover

Maity, Sunil Kumar

Softcover

ISBN 10: 3659488151 ISBN 13: 9783659488153

Verlag: LAP LAMBERT Academic Publishing, 2013

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 3659488151
• ISBN 13: 9783659488153
• Einband: Taschenbuch
• Anzahl der Seiten: 80
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Fromm; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland