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SOME RESULTS ON FUZZY COSETS AND HOMOMORPHISMS OF N-GROUPS
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  • SOME RESULTS ON FUZZY COSETS AND HOMOMORPHISMS OF N-GROUPS
  • SOME RESULTS ON FUZZY COSETS AND HOMOMORPHISMS OF N-GROUPS
저자명
Satyanarayana. Bhavanari,Syam Prasad. Kuncaham,Venkata Pradeep Kumar. Tumurukora,Thota. Srinivas
간행물명
East Asian mathematical journal
권/호정보
2007년|23권 1호|pp.23-36 (14 pages)
발행정보
영남수학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
서지반출

기타언어초록

In this paper we consider the fuzzy ideals of N-group G where N is a nearring. We introduce fuzzy ideal ${ heta}_{mu}$ of the quotient N-group $G/{mu}$ with respect to a fuzzy ideal $mu$ of G. If $mu$ is a fuzzy ideal of G and $ heta$ a fuzzy ideal of $G/{mu}$ such that ${ heta}_{mu};{subseteq};{ heta}$ and ${ heta}_{mu}(0);=;{ heta}(0)$, then corresponding ${sigma}_{ heta};:;G;{ ightarrow};[0,;1]$ is defined and proved that it is a fuzzy ideal of G such that ${mu};{subseteq};{sigma}_{ heta}$ and ${mu}(0);=;{sigma}_{ heta}(0)$. We also prove some results on homomorphisms and fuzzy ideals of N-groups. The image and preimage of fuzzy ideal $mu$ under N-group homomorphism were studied. Finally it is obtained that if $f;:;G;{ ightarrow};G^1$ is an epimorphism of N-groups, then there is an order preserving bijection between the fuzzy ideals of $G^1$ and the fuzzy ideals of G that are constant on kerf. Some examples related to these concepts were illustrated.