Zobrazeno 1 - 10
of 57
pro vyhledávání: '"13F05, 13A15"'
Autor:
Rago, Balint, Spirito, Dario
Given a valuation $v$ with quotient field $K$ and a sequence $\mathcal{K} :K_0\subseteq K_1\subseteq\cdots$ of finite extensions of $K$, we construct a weighted tree $\mathcal{T}(v,\mathcal{K})$ encoding information about the ramification of $v$ in t
Externí odkaz:
http://arxiv.org/abs/2405.04523
Autor:
Rago, Balint, Spirito, Dario
An integral domain $D$ is called an SP-domain if every ideal is a product of radical ideals. Such domains are always almost Dedekind domains, but not every almost Dedekind domain is an SP-domain. The SP-rank of $D$ provides a natural measure of the d
Externí odkaz:
http://arxiv.org/abs/2405.04512
Autor:
Kumar, C P Anil
For a positive integer $k$, we extend the surjectivity results from special linear groups (Type $A_k$) and symplectic linear groups (Type $C_k$) onto product of generalized projective spaces by associating the rows or columns, to certain congruence i
Externí odkaz:
http://arxiv.org/abs/2007.10132
Autor:
Cossu, Laura
Publikováno v:
Le Matematiche 77 (2022), no. 1, pp. 33--45
We consider the smallest subring $D$ of $\mathbb{R}(X)$ containing every element of the form $1/(1+x^2)$, with $x\in \mathbb{R}(X)$. $D$ is a Pr\"ufer domain called the minimal Dress ring of $\mathbb{R}(X)$. In this paper, addressing a general open p
Externí odkaz:
http://arxiv.org/abs/2007.08831
Autor:
Kumar, C. P. Anil
Publikováno v:
Journal of the Ramanujan Mathematical Society, Vol. 35, No.3 (2020), 241-262, http://www.mathjournals.org/jrms/2020-035-003/2020-035-003-004.html
In this article we introduce generalized projective spaces (Definitions $[2.1, 2.5]$) and prove three main theorems in two different contexts. In the first context we prove, in main Theorem $A$, the surjectivity of the Chinese remainder reduction map
Externí odkaz:
http://arxiv.org/abs/1810.03474
Autor:
Kumar, C. P. Anil
Publikováno v:
Journal of the Ramanujan Mathematical Society, Volume 33, No. 4, December 2018, pp. 335-378, http://jrms.ramanujanmathsociety.org/archieves/v33-4.html
We prove in this article the surjectivity of three maps. We prove in Theorem $1.6$ the surjectivity of the Chinese remainder reduction map associated to the projective space of an ideal with a given factorization into ideals whose radicals are pairwi
Externí odkaz:
http://arxiv.org/abs/1608.03728
This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit the arithmetical property, with applications on the weak global dimension and transfer of the semihereditary property. The new results compare to previous wor
Externí odkaz:
http://arxiv.org/abs/1601.07653
We consider the lattice-ordered groups Inv$(R)$ and Div$(R)$ of invertible and divisorial fractional ideals of a completely integrally closed Pr\"ufer domain. We prove that Div$(R)$ is the completion of the group Inv$(R)$, and we show there is a fait
Externí odkaz:
http://arxiv.org/abs/1512.03312
Autor:
Olberding, Bruce
An intersection of sets $A = \bigcap_{i \in I}B_i$ is irredundant if no $B_i$ can be omitted from this intersection. We develop a topological approach to irredundance by introducing a notion of a spectral representation, a spectral space whose member
Externí odkaz:
http://arxiv.org/abs/1510.02000
C-domains are defined via class semigroups, and every C-domain is a Mori domain with nonzero conductor whose complete integral closure is a Krull domain with finite class group. In order to extend the concept of C-domains to rings with zero divisors,
Externí odkaz:
http://arxiv.org/abs/1401.2761