Interval Algebraic Bistructures
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Publication:3015443
zbMATH Open1227.08002arXiv1108.2480MaRDI QIDQ3015443
Florentin Smarandache, W. B. Vasantha Kandasamy
Publication date: 13 July 2011
Abstract: This book has four chapters. In the first chapter interval bistructures (biinterval structures) such as interval bisemigroup, interval bigroupoid, interval bigroup and interval biloops are introduced. Throughout this book we work only with the intervals of the form [0, a] where a in Zn or Z+ cup {0} or R+ cup {0} or Q+ cup {0} unless otherwise specified. Also interval bistructures of the form interval loop-group, interval groupgroupoid so on are introduced and studied. In chapter two n-interval structures are introduced. n-interval groupoids, n-interval semigroups, n-interval loops and so on are introduced and analysed. Using these notions n-interval mixed algebraic structure are defined and described. Some probable applications are discussed. Only in due course of time several applications would be evolved by researchers as per their need. The final chapter suggests around 295 problems of which some are simple exercises, some are difficult and some of them are research problems.
Full work available at URL: https://arxiv.org/abs/1108.2480
Structure theory of algebraic structures (08A05) Relational systems, laws of composition (08A02) Research exposition (monographs, survey articles) pertaining to general algebraic systems (08-02)
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