Some Basic Properties of Completely Prime Ideals in Near Rings
Author(s) -
Pairote Yiarayong
Publication year - 2015
Publication title -
journal of mathematical and fundamental sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 12
eISSN - 2337-5760
pISSN - 2338-5510
DOI - 10.5614/j.math.fund.sci.2015.47.3.1
Subject(s) - associated prime , prime (order theory) , mathematics , prime ideal , prime element , ideal (ethics) , boolean prime ideal theorem , pure mathematics , minimal ideal , semiprime ring , prime power , discrete mathematics , combinatorics , maximal ideal , law , political science
In this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings. Some characterizations of completely prime and weakly completely prime ideals were obtained. Moreover, we investigated relationships between completely prime and weakly completely prime ideals in near-rings. Finally, we obtained necessary and sufficient conditions for a weakly completely prime ideal to be a completely prime ideal
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