Zobrazeno 1 - 10
of 116
pro vyhledávání: '"Gabelli, Stefania"'
Autor:
Gabelli, Stefania, Roitman, Moshe
Publikováno v:
J. Commut. Algebra (11) 2019, 49-67 and J. Commut. Algebra (12) 2020, 179-198
We study Archimedean and locally Archimedean stable domains. We prove that a domain is stable and one-dimensional if and only if it is finitely stable and Mori. But we give examples of Archimedean stable local domains that are not one-dimensional. We
Externí odkaz:
http://arxiv.org/abs/1403.1394
Autor:
Gabelli, Stefania, Picozza, Giampaolo
We investigate the transfer of w-stability and Clifford w-regularity from a domain D to the polynomial ring D[X]. We show that these two properties pass from D to D[X] when D is either integrally closed or it is Mori and w-divisorial.
Comment: t
Comment: t
Externí odkaz:
http://arxiv.org/abs/1305.3824
Autor:
Gabelli, Stefania
Publikováno v:
Bull. Math. Soc. Sci. Math. Roumanie (N.S.), Tome 56 (104) 2013, 99-108
It is well-known that if R is a domain with finite character, each locally principal nonzero ideal of R is invertible. We address the problem of understanding when the converse is true and survey some recent results.
Externí odkaz:
http://arxiv.org/abs/1305.3829
Autor:
Gabelli, Stefania, Picozza, Giampaolo
Publikováno v:
Rend. Semin. Mat. Padova, 126 (2011), 107-125
In the last few years, the concepts of stability and Clifford regularity have been fruitfully extended by using star operations. In this paper we study and put in relation these properties for Noetherian and Mori domains, substantially improving seve
Externí odkaz:
http://arxiv.org/abs/1009.4993
Autor:
Gabelli, Stefania, Picozza, Giampaolo
Publikováno v:
Comm. Algebra, 40 (2012), 3558-3582
In the last few years, the concepts of stability and Clifford regularity have been fruitfully extended by using star operations. In this paper we deepen the study of star stable and star regular domains and relate these two classes of domains to each
Externí odkaz:
http://arxiv.org/abs/1007.5265
Publikováno v:
J. Pure Appl. Algebra, 212 (2008), 376-392
Given a star operation * of finite type, we call a domain R a *-unique representation domain (*-URD) if each *-invertible *-ideal of R can be uniquely expressed as a *-product of pairwise *-comaximal ideals with prime radical. When * is the t-operati
Externí odkaz:
http://arxiv.org/abs/0807.3295
Publikováno v:
Comm. Algebra, 37 (2009), 1-11
We extend the Bass-Matlis characterization of local Noetherian divisorial domains to the non-Noetherian case. This result is then used to study the following question: If a domain D is w-divisorial, that is, if each w-ideal of D is divisorial, then i
Externí odkaz:
http://arxiv.org/abs/0807.3299
Autor:
Baghdadi, Said El, Gabelli, Stefania
We extend to Pr\"ufer $v$-multiplication domains some distinguished ring-theoretic properties of Pr\"ufer domains. In particular we consider the $t##$-property, the $t$-radical trace property, $w$-divisoriality and $w$-stability.
Comment: 15 pag
Comment: 15 pag
Externí odkaz:
http://arxiv.org/abs/math/0607125
Autor:
Gabelli, Stefania, Picozza, Giampaolo
We introduce and study the notion of $\star$-stability with respect to a semistar operation $\star$ defined on a domain $R$; in particular we consider the case where $\star$ is the $w$-operation. This notion allows us to generalize and improve severa
Externí odkaz:
http://arxiv.org/abs/math/0603147
Autor:
Baghdadi, Said El, Gabelli, Stefania
We study the class of domains in which each w-ideal is divisorial, extending several properties of divisorial and totally divisorial domains to a much wider class of domains. In particular we consider PvMDs and Mori domains.
Externí odkaz:
http://arxiv.org/abs/math/0412452