Advanced Algebra plays a key role in mathematics both in theory and application. Advanced Algebra is characterized by its emphasis on the systematic investigation of abstract algebraic structures. In the year 2003, myself and my respected teacher Prof. T. K. Dutta have introduced the notion of "Ternary Semiring" which is a new abstract algebraic structure. The introduction of "Ternary Semiring" gives a new horizon in the field of Advanced Algebra. The new algebraic structure "Ternary Semiring" may give different direction in the field of research of Advanced Algebra and enrich Pure Mathematics as a whole. So I hope that continuation of further study of "Ternary Semiring" may explore the solution of many interesting problems which will play a pivotal role both in theory and application in the future research of Pure Mathematics.
Advanced Algebra plays a key role in mathematics both in theory and application. Advanced Algebra is characterized by its emphasis on the systematic investigation of abstract algebraic structures. In the year 2003, myself and my respected teacher Prof. T. K. Dutta have introduced the notion of "Ternary Semiring" which is a new abstract algebraic structure. The introduction of "Ternary Semiring" gives a new horizon in the field of Advanced Algebra. The new algebraic structure "Ternary Semiring" may give different direction in the field of research of Advanced Algebra and enrich Pure Mathematics as a whole. So I hope that continuation of further study of "Ternary Semiring" may explore the solution of many interesting problems which will play a pivotal role both in theory and application in the future research of Pure Mathematics.
This book provides an introduction to the algebraic theory of semirings, including a detailed treatment of some applications in theoretical computer science. The focus is on the general concepts and...
Automata theory is the oldest among the disciplines constituting the subject matter of this Monograph Series: theoretical computer science. Indeed, automata theory and the closely related theory of...
Pre-Semirings, Semirings and Dioids.- Combinatorial Properties of (Pre)-Semirings.- Topology on Ordered Sets: Topological Dioids.- Solving Linear Systems in Dioids.- Linear Dependence and...
INFORMATION concerning phase equilibria, such as can be represented by equilibrium diagrams is important in a number of fields of scientific study, and especially in metallurgy, ceramics, and...
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