Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2011
Abstract
In this book the notion of interval semirings are introduced. The authors study and analyse semirings algebraically. Methods are given for the construction of non-associative semirings using loops and interval semirings or interval loops and semirings. Another type of non-associative semirings are introduced using groupoids and interval semirings or interval groupoids and semirings. Examples using integers and modulo integers are given. Also infinite semirings which are semifields are given using interval semigroups and semirings or semigroups and interval semirings or using groups and interval semirings. Interval groups are introduced to construct interval group interval semirings, and properties related with them are analysed. Interval matrix semirings are introduced. This book has seven chapters. In chapter one we give the basics needed to make this book a self contained one. Chapter two introduces the notion of interval semigroups and interval semifields and are algebraically analysed.
Publisher
Kappa & Omega, Glenndale
ISSN
978-1-59973-033-2
Language (ISO)
English
Keywords
semirings, interval semirings, interval matrice semirings
Recommended Citation
Smarandache, Florentin and W.B. Vasantha Kandasamy. "INTERVAL SEMIRINGS." (2011). https://digitalrepository.unm.edu/math_fsp/216
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Algebra Commons, Analysis Commons, Discrete Mathematics and Combinatorics Commons, Geometry and Topology Commons, Logic and Foundations Commons, Other Mathematics Commons
