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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 441 - 447 (7page)
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초록· 키워드
오류제보하기
Jat and Choudhari defined a near-ring R with left bipotent or
right bipotent condition in 1979. Also, we can define a near-ring
R as subcommutative if aR=Ra for all a in R. From these
above two concepts it is natural to investigate the near-ring R
with the properties aR=Ra² (resp. a² R=Ra) for each a in
R. We will say that such is a near-ring with (1,2)-potent
condition (resp. a near-ring with (2,1)-potent condition). Thus,
we can extend a general concept of a near-ring R with
(m,n)-potent condition, that is, am R=Raⁿ for each a in
R, where m, n are positive integers.
We will derive properties of near-ring with (1,n) and
(n,1)-potent conditions where n is a positive integer, any
homomorphic image of (m,n)-potent near-ring is also
(m,n)-potent, and we will obtain some characterization of
regular near-rings with (m,n)-potent conditions.
목차
등록된 정보가 없습니다.
참고문헌 (14)
참고문헌 신청
C. V. L. N. Murty / 1984 / Generalized near- elds / Proc. Edin. Math. Soc 27 : 21 ~ 24
F. W. Anderson / 1974 / Rings and categories of modules, 13, Springer-Verlag / Heidelberg and Berlin
G. Mason / 1980 / Strongly regular near-rings / Proc. Edin. Math 23 : 27 ~ 36
G. Pilz / 1983 / Near-rings / North Holland Publishing Company
G. Szeto / 1974 / On regular near-rings with no nonzero nilpotent elements / Math. Japon 79 : 65 ~ 70
F. W. Anderson / 1974 / Rings and categories of modules, 13, Springer-Verlag / Heidelberg and Berlin
G. Mason / 1980 / Strongly regular near-rings / Proc. Edin. Math 23 : 27 ~ 36
G. Pilz / 1983 / Near-rings / North Holland Publishing Company
G. Szeto / 1974 / On regular near-rings with no nonzero nilpotent elements / Math. Japon 79 : 65 ~ 70
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