International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Since Year 2012 | Open Access | Double Blind Reviewed

ISSN: 2319-7064

Downloads: 113

Research Paper | Mathematics | India | Volume 9 Issue 4, April 2020

Completely Regular Semiring

Chandrakala H K | Dr. A Rajeswari

Abstract: Semiring theory is one of the most developing branch of Mathematics with wide application in many disciplines such as Computer Science. Coding theory, Topology space and many researchers studies different structure of semirings like complemented semirings, Boolean like semirings etc. In this paper, we discuss some properties of Completely regular semiring, In this paper, we have many proved criteria on the different structure of semirings, Anti-inverse (S, +) and quasi-separative (S,. ) is proved through completely regular semiring application, completely regular semiring a + x = a is proved, as Distributive, (S, +) is a Boolean ring. On the condition of completely regular semiring anti-inverse is proved as monosemiring and some other relations are proved. We determine the additive and multiplicative structures of a Completely regular semiring by assuming different properties on the additive (multiplicative) structures. x

Keywords: Semirings, Completely regular semiring, Monosemiring, Simple semiring Anti-inverse, Boolean Semiring, Quasi-separative semiring, Distributive law

Edition: Volume 9 Issue 4, April 2020,

Pages: 1696 - 1699

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Chandrakala H K, Dr. A Rajeswari, "Completely Regular Semiring", International Journal of Science and Research (IJSR), Volume 9 Issue 4, April 2020, pp. 1696-1699,