Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2014
Abstract
Study of algebraic structures built using [0, n) happens to be one of an interesting and innovative research. Here in this book authors define non associative algebraic structures using the interval [0, n). Here we define two types of groupoids using [0, n) both of them are of infinite order. It is an open conjecture to find whether these new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity or Bruck identity or so on. We know on [0, n) we cannot build rings only pseudo rings, however in this book we use these type I and type II groupoids to build non associative rings and semirings. Several interesting results are derived and some open problems are suggested.
Publisher
Educational Publisher Inc., Ohio
ISSN
978-1-59973-273-2
Language (ISO)
English
Keywords
groupoids, algebraic structures, neutrosophic logic
Recommended Citation
W.B. Vasantha Kandasamy & F. Smarandache. Groupoids of Type I and II using [0, n). Ohio: Educational Publisher Inc., 2014
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.
Included in
Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Discrete Mathematics and Combinatorics Commons, Geometry and Topology Commons, Logic and Foundations Commons, Set Theory Commons
