Ideal Theory of Sum-Ordered Partial Semirings: Ideals of So-rings - Softcover

9783659189579: Ideal Theory of Sum-Ordered Partial Semirings: Ideals of So-rings
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Partially dened innitary operations occur in the contexts ranging from integration theory to programming language semantics. The study of pfn(D;D), Mfn(D;D) and Mset(D;D) play an important role in the theory of computer science, and to abstract these structures Manes and Benson introduced the notion of sum-ordered partial semiring(so-ring). In view of ordering and partial addition in the so-ring, i obtained a phi-representation, developed an ideal theory of so-rings and studied partial semimodules over partial semirings in detail. This text book is helpful to the beginners of Partial semirings.

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I am working as an Associate Professor in the Department of S & H, MIC College of Technology, Kanchika Cherla-521180, Krishna(Dt.), Andhra Pradesh. I worked as a research scholar under the guidance of Dr. N. Prabhakara Rao, Head & Professor, Department of Maths, Bapatla Engineering College, Bapatla. My area of interests are Semirings & Algebra.

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