Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2016; 31(4): 657-665

Online first article September 28, 2016      Printed October 31, 2016

https://doi.org/10.4134/CKMS.c150164

Copyright © The Korean Mathematical Society.

On weakly completely quasi primary and completely quasi primary ideals in ternary semirings

Pairote Yiarayong

Pibulsongkram Rajabhat University

Abstract

In this investigation we studied completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Some characterizations of completely quasi primary and weakly completely quasi primary ideals were obtained. Moreover, we investigated relationships between completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Finally, we obtained necessary and sufficient conditions for a weakly completely quasi primary ideal to be a completely quasi primary ideal.

Keywords: ternary semiring, completely quasi primary, weakly completely quasi primary, $k$-ideal

MSC numbers: Primary 16Y30, 16Y99

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