On Boolean Near Rings: Algebra - Couverture souple

K., Pushpalatha

Couverture souple

ISBN 10 : 6203197270 ISBN 13 : 9786203197273

Editeur : LAP LAMBERT Academic Publishing, 2020

Synopsis

This book deals with the study of properties of Boolean near-rings. we present the result that every Boolean near-ring is weakly commutative. By using this result we provide a simple proof for Steve Light's result that every DC Boolean near-ring is a Boolean ring. We also prove some interesting results relating to Boolean near-rings We show that every maximal ideal in a Boolean near-ring is prime. But the converse is in general not true and an example is given to this effect. We prove that if N is a zero-symmetric Boolean near-ring, then for every e belong to N, Ne is an ideal of N. Moreover we prove that every left ideal of an arbitrary Boolean near-ring is an ideal. An example is given to show that every right ideal of a Boolean near-ring is not an ideal, in general.We also prove that every subdirectly irreducible Boolean near-distribution ring having a nonzero element is a two-element field.

Détails de l'édition

• Éditeur: LAP LAMBERT Academic Publishing
• Date d'édition: 2020
• Langue: anglais
• ISBN 10: 6203197270
• ISBN 13: 9786203197273
• Reliure: Broché
• Nombre de pages: 56
• Coordonnées du fabricant: non disponible
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