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Anglický jazyk
On Boolean Near Rings
Autor: Pushpalatha K.
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... Viac o knihe
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O knihe
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.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2020
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786203197273
