Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Ascending chain condition on principal ideals"'
Autor:
Lim Jung Wook, Oh Dong Yeol
Publikováno v:
Open Mathematics, Vol 15, Iss 1, Pp 1161-1170 (2017)
In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian
Externí odkaz:
https://doaj.org/article/2fb1edff45d7455fa516f83aa5e80232
Autor:
J. R. Juett, Ranthony A. C. Edmonds
Publikováno v:
Communications in Algebra. 49:1836-1860
In the context of factorization in monoid rings with zero divisors, we study associate relations and the resulting notions of irreducibility and factorization length. Building upon these facts, we ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c78b6693305e5c6fa05ea61b77d9b518
https://doi.org/10.1080/00927872.2020.1857391
https://doi.org/10.1080/00927872.2020.1857391
Publikováno v:
Journal of Algebra. 541:61-97
We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a3d62442c97b82f432e5298fee1e187
https://doi.org/10.1016/j.jalgebra.2019.09.002
https://doi.org/10.1016/j.jalgebra.2019.09.002
Autor:
Jason Greene Boynton, Jim Coykendall
Publikováno v:
Journal of Pure and Applied Algebra. 223:619-625
We find necessary and sufficient conditions on a pullback diagram in order that every nonzero nonunit in its pullback ring admits a finite factorization into irreducible elements. As a result, we can describe a method of easily producing atomic domai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d2d9ab109d78711fc06bec6ea89d73b
https://doi.org/10.1016/j.jpaa.2018.04.010
https://doi.org/10.1016/j.jpaa.2018.04.010
Autor:
Dong Yeol Oh, Jung Wook Lim
Publikováno v:
Open Mathematics, Vol 15, Iss 1, Pp 1161-1170 (2017)
OPEN MATHEMATICS(15)
OPEN MATHEMATICS(15)
In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0d6bd6c67a55315597bf3c5a5bc3442
https://doaj.org/article/2fb1edff45d7455fa516f83aa5e80232
https://doaj.org/article/2fb1edff45d7455fa516f83aa5e80232
Autor:
Dong Yeol Oh, Jung Wook Lim
Publikováno v:
Rocky Mountain J. Math. 49, no. 4 (2019), 1223-1236
Let $D \subseteq E$ be an extension of commutative rings with identity, $I$ a nonzero proper ideal of $D$, $(\Gamma , \leq )$ a strictly totally ordered monoid such that $0 \leq \alpha $ for all $\alpha \in \Gamma $, and $\Gamma ^*=\Gamma \setminus \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9a0a4485f72eddb75f512fc02fdc76c
https://projecteuclid.org/euclid.rmjm/1567044037
https://projecteuclid.org/euclid.rmjm/1567044037
Autor:
Lim， Jung Wook
Publikováno v:
Kyungpook mathematical journal. 56:1115-1123
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91f51c8d63475b8c7596059a1ef7f55c
https://doi.org/10.5666/kmj.2016.56.4.1115
https://doi.org/10.5666/kmj.2016.56.4.1115
Autor:
D. D. Anderson, J. R. Juett
Publikováno v:
Communications in Algebra. 45:1584-1600
Let R be a commutative ring. We investigate several functions which measure the length of factorizations of an element of R. Some of these functions are l,lU:R→ℕ0 (for R atomic) and L,LU:R→ℕ0∪{∞} where l(x)=lU(x)=L(x)=LU(x)=0 for x a unit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c6624787fce6527e2c2ba8868c33f0b
https://doi.org/10.1080/00927872.2016.1222400
https://doi.org/10.1080/00927872.2016.1222400
Autor:
Kamal Paykan
Publikováno v:
Ricerche di Matematica. 66:383-393
In this paper, we continue the study of skew Hurwitz series ring \((HR, \alpha )\), where R is a ring equipped with an endomorphism \(\alpha \). Necessary and sufficient conditions are obtained for \((HR, \alpha )\) to satisfy a certain ring property
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::540e16b8c5e68fd470a59592fa373fec
https://doi.org/10.1007/s11587-016-0305-9
https://doi.org/10.1007/s11587-016-0305-9
The behavior of ascending chain conditions on submodules of bounded finite generation in direct sums
Autor:
Pace P. Nielsen
Publikováno v:
Israel Journal of Mathematics. 215:339-347
We construct a ring R which has the ascending chain condition on n-generated right ideals for each n ≥ 1 (also called the right pan-acc property), such that no full matrix ring over R has the ascending chain condition on cyclic right ideals. Thus,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cbb0536bb7105eda64fc9b7ae346138
https://doi.org/10.1007/s11856-016-1381-y
https://doi.org/10.1007/s11856-016-1381-y