Faculty and Staff Publications

Document Type

Book

Publication Date

2014

Abstract

Here for the first time we introduce the semi open square using modulo integers. Authors introduce several algebraic structures on them. These squares under addition modulo ‘n’ is a group and however under product  this semi open square is only a semigroup as under  the square has infinite number of zero divisors. Apart from + and  we define min and max operation on this square. Under min and max operation this semi real open square is a semiring. It is interesting to note that this semi open square is not a ring under + and  since a  (b + c) ≠ a  b + a  c in general for all a, b and c in that semi open square. So we define the new type of ring call pseudo ring. Finally we define S-vector spaces and S-pseudo linear algebras using them.

Publisher

Educational Publisher Inc., Ohio

ISSN

978-1-59973-291-6

Language (ISO)

English

Keywords

algebra, neutrosophic logic, mathematics

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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