On Boolean Near Rings
Algebra
(Sprache: Englisch)
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...
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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.
Autoren-Porträt von Pushpalatha K.
K., PushpalathaI am working as Associate Professor, in the Dept. of Mathematics, KL deemed to be University since 2017 and having work experience of 17 years , Published 17 papers .attended many national and international conferences ,Presented a paper in international conference held in Milan University,Italy. I am an editor of Ganitha Chandrika(AIMED) .
Bibliographische Angaben
- Autor: Pushpalatha K.
- 2020, 56 Seiten, Maße: 22 cm, Kartoniert (TB), Englisch
- Verlag: LAP Lambert Academic Publishing
- ISBN-10: 6203197270
- ISBN-13: 9786203197273
Sprache:
Englisch
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