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

Creative Commons License

Creative Commons Attribution-Share Alike 4.0 License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 License.

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