A ring R is called linearly McCoy if whenever linear poly- nomials f(x), g(x) ∈ R[x]\{0} satisfy f(x)g(x) = 0, there exist nonzero elements r, s ∈ R such that f(x)r = sg(x) = 0. In this paper, extension properties of linearly McCoy rings are inv...
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https://www.riss.kr/link?id=A103359665
Jian Cui (Anhui Normal University) ; Jianlong Chen (Southeast University)
2013
English
KCI등재,SCIE,SCOPUS
학술저널
1501-1511(11쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
A ring R is called linearly McCoy if whenever linear poly- nomials f(x), g(x) ∈ R[x]\{0} satisfy f(x)g(x) = 0, there exist nonzero elements r, s ∈ R such that f(x)r = sg(x) = 0. In this paper, extension properties of linearly McCoy rings are inv...
A ring R is called linearly McCoy if whenever linear poly- nomials f(x), g(x) ∈ R[x]\{0} satisfy f(x)g(x) = 0, there exist nonzero elements r, s ∈ R such that f(x)r = sg(x) = 0. In this paper, extension properties of linearly McCoy rings are investigated. We prove that the polynomial ring over a linearly McCoy ring need not be linearly McCoy.
It is shown that if there exists the classical right quotient ring Q of a ring R, then R is right linearly McCoy if and only if so is Q. Other basic extensions are also considered.
참고문헌 (Reference)
1 G. M. Bergman, "The Diamond Lemma for ring theory" 29 (29): 178-218, 1978
2 P. P. Nielsen, "Semi-commutativity and the McCoy condition" 298 (298): 134-141, 2006
3 A. M. Buhphang, "Semi-commutative modules and Armendariz modules" 8 (8): 53-65, 2002
4 N. H. McCoy, "Remarks on divisors of zero" 49 : 286-295, 1942
5 Young Cheol Jeon, "On weak Armendariz rings" 대한수학회 46 (46): 135-146, 2009
6 Y. Hirano, "On annihilator ideals of a polynomial ring over a noncommutative ring" 168 (168): 45-52, 2002
7 Jian Cui, "On McCoy modules" 대한수학회 48 (48): 23-33, 2011
8 T. K. Lee, "On Armendariz rings" 29 (29): 583-593, 2003
9 J. C. McConnell, "Noncommutative Noetherian Rings" Wiley 1987
10 V. Camillo, "McCoy rings and zero-divisors" 212 (212): 599-615, 2008
1 G. M. Bergman, "The Diamond Lemma for ring theory" 29 (29): 178-218, 1978
2 P. P. Nielsen, "Semi-commutativity and the McCoy condition" 298 (298): 134-141, 2006
3 A. M. Buhphang, "Semi-commutative modules and Armendariz modules" 8 (8): 53-65, 2002
4 N. H. McCoy, "Remarks on divisors of zero" 49 : 286-295, 1942
5 Young Cheol Jeon, "On weak Armendariz rings" 대한수학회 46 (46): 135-146, 2009
6 Y. Hirano, "On annihilator ideals of a polynomial ring over a noncommutative ring" 168 (168): 45-52, 2002
7 Jian Cui, "On McCoy modules" 대한수학회 48 (48): 23-33, 2011
8 T. K. Lee, "On Armendariz rings" 29 (29): 583-593, 2003
9 J. C. McConnell, "Noncommutative Noetherian Rings" Wiley 1987
10 V. Camillo, "McCoy rings and zero-divisors" 212 (212): 599-615, 2008
11 J. Cui, "Linearly McCoy rings and their generalizations" 26 (26): 159-175, 2010
12 M. T. Kosan, "Extensions of rings having McCoy condition" 52 (52): 267-272, 2009
13 Z. L. Ying, "Extensions of McCoy rings" 24 (24): 85-94, 2008
14 C. Huh, "Armendariz rings and semicommutative rings" 30 (30): 751-761, 2002
15 D. D. Anderson, "Armendariz rings and Gaussian rings" 26 (26): 2265-2272, 1998
16 M. B. Rege, "Armendariz rings" 73 (73): 14-17, 1997
17 Z. Lei, "A question on McCoy rings" 76 (76): 137-141, 2007
THE FUNCTION ANALYTIC IN THE EXTERIOR OF A DISC AND ITS APPLICATION TO PERIODIC COMPLEX OSCILLATION
MORPHIC PROPERTY OF A QUOTIENT RING OVER POLYNOMIAL RING
ON SOME NEW THEOREMS ON MULTIPLIERS IN HARMONIC FUNCTION SPACES IN HIGHER DIMENSION II
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.35 | 0.1 | 0.27 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.2 | 0.339 | 0.04 |