지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
Let R=bigoplus_alphainGammaR_alpha be a graded integral domain graded by an arbitrary grading torsionless monoid Gamma, and star be a semistar operation on R. In this paper we define and study the graded integral domain analogue of star-Nagata and Kronecker function rings of R with respect to star. We say that R is a graded Pr"ufer star-multiplication domain if each nonzero finitely generated homogeneous ideal of R is star_f-invertible. Using star-Nagata and Kronecker function rings, we give several different equivalent conditions for R to be a graded Pr"uferstar-multiplication domain. In particular we give new characterizations for a graded integral domain, to be a PvMD.
목차
등록된 정보가 없습니다.
참고문헌 (32)
참고문헌 신청
A. Okabe / 1994 / Semistar-operations on integral domains / Math. J. Toyama Univ 17 : 1 ~ 21
B. G. Kang / 1989 / Prufer v-multiplication domains and the ring R[X]Nv / J. Algebra 123 : 151 ~ 170
C. C. Chevalley / 1954 / La notion d'anneau de decomposition / Nagoya Math. J 7 : 21 ~ 33
D. D. Anderson / 1977 / Some remarks on the ring R(X) / Comment. Math. Univ. St. Pauli 26 : 137 ~ 140
D. D. Anderson / 1982 / Divisibility properties of graded domains / Canad. J. Math 34 : 196 ~ 215
B. G. Kang / 1989 / Prufer v-multiplication domains and the ring R[X]Nv / J. Algebra 123 : 151 ~ 170
C. C. Chevalley / 1954 / La notion d'anneau de decomposition / Nagoya Math. J 7 : 21 ~ 33
D. D. Anderson / 1977 / Some remarks on the ring R(X) / Comment. Math. Univ. St. Pauli 26 : 137 ~ 140
D. D. Anderson / 1982 / Divisibility properties of graded domains / Canad. J. Math 34 : 196 ~ 215
이 논문의 저자 정보
최근 본 자료
댓글(0)
0