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 $\star$ be a semistar operation on the integral domain $D$. In this paper, we prove that $D$ is a G-$\widetilde{\star}$-GCD domain if and only if $D[X]$ is a G-$\star_1$-GCD domain if and only if the Nagata ring of $D$ with respect to the semistar operation $\widetilde{\star}$, $Na(D, \star_f)$ is a G-GCD domain if and only if $Na(D, \star_f)$ is a GCD domain, where $\star_1$ is the semistar operation on $D[X] $ introduced by G. Picozza \cite{Picozza}.
목차
등록된 정보가 없습니다.
참고문헌 (14)
참고문헌 신청
D. D. Anderson / 1976 / Multiplication Ideals, Multiplication Rings, and the Ring R(X) / Canadian Journal of Mathematics 28(4):760~768
D. D. Anderson / 1980 / Generalized GCD domains / Comment. Math. Univ. St. Paul 28(2):215~221
Gyu Whan Chang / 2007 / Uppers to zero and semistar operations in polynomial rings / Journal of Algebra 318(1):484~493
Said El-Baghdadi / 2010 / Semistar GCD Domains / Communications in Algebra 38(8):3029~3044
M. Fontana / 2000 / Non-Noetherian commutative ring theory / Kluwer Acad. Publ :169~197
D. D. Anderson / 1980 / Generalized GCD domains / Comment. Math. Univ. St. Paul 28(2):215~221
Gyu Whan Chang / 2007 / Uppers to zero and semistar operations in polynomial rings / Journal of Algebra 318(1):484~493
Said El-Baghdadi / 2010 / Semistar GCD Domains / Communications in Algebra 38(8):3029~3044
M. Fontana / 2000 / Non-Noetherian commutative ring theory / Kluwer Acad. Publ :169~197
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
GENERALIZATIONS OF GREATEST COMMON DIVISORS OF GCD DOMAINS
충청수학회지
2017 .01
-
KAPLANSKY-TYPE THEOREMS IN GRADED INTEGRAL DOMAINS
대한수학회보
2015 .01
-
A study of linked star operations
대한수학회보
2021 .01
-
The Possible Signs of Hydrogen and Helium Accretion from Interstellar Medium on the Atmospheres of F-K Giants in the Local Region of the Galaxy
Journal of Astronomy and Space Sciences
2021 .09
-
When the Nagata ring ${D(X)}$ is a sharp domain
한국수학논문집
2016 .01
-
A HALF-CENTERED STAR-OPERATION ON AN INTEGRAL DOMAIN
대한수학회지
2017 .01
-
A POINT STAR-CONFIGURATION IN ？<sup>n</sup> HAVING GENERIC HILBERT FUNCTION
충청수학회지
2015 .01
-
On $\phi$-Schreier rings
대한수학회지
2016 .01
-
[INTERVIEW] 고난을 뚫고 별을 향해
BBC 사이언스
2021 .08
-
Factorization properties on the composite Hurwitz rings
한국수학논문집
2024 .03
-
Two Extensions of a Star Operation on D to the Polynomial Ring D[X]
Kyungpook Mathematical Journal
2021 .01
-
Loxodromes and transformations in pseudo-Hermitian geometry
대한수학회논문집
2021 .10
-
Distributions of Amplitude and Phase Around C-points: Lemon, Mon-Star, and Star
Current Optics and Photonics
2016 .02
-
Primary decomposition of submodules of a free module of finite rank over a B\'ezout domain
대한수학회보
2023 .03
-
Development of a Period Analysis Algorithm for Detecting Variable Stars in Time-Series Observational Data
Journal of Astronomy and Space Sciences
2019 .01
-
ON SOME UNBOUNDED DOMAINS FOR A MAXIMUM PRINCIPLE
순수 및 응용수학
2016 .01
-
The minimal free resolution of the union of two linear star-configurations in $\P^2$
대한수학회논문집
2016 .01
-
The Chemical Composition of V1719 Cyg: δ Scuti Type Star without the Accretion of Interstellar Matter
Journal of Astronomy and Space Sciences
2020 .01
-
The Cohen Type Theorem for $S$-$*_w$-Principal Ideal Domains
East Asian Mathematical Journal
2018 .01
-
Graded integral domains and Nagata rings, II
한국수학논문집
2017 .06
이 논문의 저자 정보
최근 본 자료
댓글(0)
0