Partial orders on a C-algebra - Perumali, Sundarayya; G., Chakradhara Rao
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The study different partial orders on a C-algebra and their properties. First we define a partial ordering on C-algebra by x ¿ y if and only if y ¿ x = x and we study the properties of this partial ordering. We give a number of equivalent conditions in terms of this partial ordering for a C-algebra to become a Boolean Algebra. Using the decomposition theorem we prove that for any a, b ¿ B(A) with a ¿ b = F, Aa is isomorphic to Ab if and only if there exists an isomorphism on A which sends a to b. We define two binary operations ¿ and ¿ on a C-algebra A and prove that and are…mehr

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Produktbeschreibung
The study different partial orders on a C-algebra and their properties. First we define a partial ordering on C-algebra by x ¿ y if and only if y ¿ x = x and we study the properties of this partial ordering. We give a number of equivalent conditions in terms of this partial ordering for a C-algebra to become a Boolean Algebra. Using the decomposition theorem we prove that for any a, b ¿ B(A) with a ¿ b = F, Aa is isomorphic to Ab if and only if there exists an isomorphism on A which sends a to b. We define two binary operations ¿ and ¿ on a C-algebra A and prove that < A, ¿ >and < A, ¿ > are semi lattices. We derive some properties of the partial orderings ¿¿and ¿¿ induced from the semilattices.
Autorenporträt
Dr. P. Sundarayya M.Sc., M.Phil., Ph.D. in Mathematics in Andhra University. Teaching experience in Algebra, Engineering Mathematics,etc. He has qualified JRF+NET exam, and qualified GATE exam three times. Several research papers have been published by him in various reputed international journals.