Results 31 to 40 of about 1,487,509 (274)

استخدام مبرهنة "Cayley-Hamilton"وتمهيدية "Nakayama" في دراسة العلاقة بين الحلقات الناظمية وحلقات التقييم

مجلة جامعة دمشق للعلوم الأساسية, 2021
يعرض هذا البحث تطبيقاً لمبرهنة ”Cayley-Hamilton" وتمهيدية"Nakayama" في دراسة العلاقة بين الحلقات الناظمية"Normal Rings" وحلقات التقييم "Valuation Rings", حيث إنه تم عرض فكرة عامة عن أهمية الحلقات الناظمية وحلقات التقييم وتعاريف ومفاهيم أساسية من الجبر ...
د. شوقي محمد الراشد
doaj  

Non)Vanishing results on local cohomology of valuation rings [PDF]

, 2016
We examine local cohomology in the setting of valuation rings. The novelty of this investigation stems from the fact that valuation rings are usually non-Noetherian, whereas local cohomology has been extensively developed mostly in a Noetherian setting ...
Rankeya Datta
semanticscholar   +1 more source

Regular characters of groups of type A_n over discrete valuation rings [PDF]

, 2016
Let O be a complete discrete valuation ring with finite residue field k of odd characteristic. Let G be a general or special linear group or a unitary group defined over O and let $\mathfrak{g}$ denote its Lie algebra.
Roi Krakovski, U. Onn, P. Singla
semanticscholar   +1 more source

Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs [PDF]

, 2016
The theory of Newton-Okounkov bodies attaches a convex body to a line bundle on a variety equipped with flag of subvarieties. This convex body encodes the asymptotic properties of sections of powers of the line bundle.
Eric Katz, S. Urbinati
semanticscholar   +1 more source

Conditional expanding bounds for two-variable functions over finite valuation rings [PDF]

European journal of combinatorics (Print), 2015
In this paper, we use methods from spectral graph theory to obtain some results on the sum-product problem over finite valuation rings $\mathcal{R}$ of order $q^r$ which generalize recent results given by Hegyv\'ari and Hennecart (2013).
L. Ham, T. Pham, Le Anh Vinh
semanticscholar   +1 more source

Frobenius and valuation rings [PDF]

, 2015
The behavior of the Frobenius map is investigated for valuation rings of prime characteristic. We show that valuation rings are always F-pure. We introduce a generalization of the notion of strong F-regularity, which we call F-pure regularity, and show ...
Rankeya Datta, Karen E. Smith
semanticscholar   +1 more source

Binomial expansions modulo prime powers

International Journal of Mathematics and Mathematical Sciences, 1980
In this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations.
Paul W. Haggard, John O. Kiltinen
doaj   +1 more source

Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings [PDF]

, 2015
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 ...
B. Olberding
semanticscholar   +1 more source

Milnor K-theory of complete discrete valuation rings with finite residue fields [PDF]

Journal of Pure and Applied Algebra, 2015
Consider a complete discrete valuation ring O with quotient field F and finite residue field. Then the inclusion map O ↪ F induces a map K ˆ ⁎ M O → K ˆ ⁎ M F on improved Milnor K-theory. We show that this map is an isomorphism in degrees bigger or equal
Christian Dahlhausen
semanticscholar   +1 more source

Degenerations of toric varieties over valuation rings [PDF]

, 2015
We develop a theory of multistage degenerations of toric varieties over finite rank valuation rings, extending the Mumford–Gubler theory in rank 1. Such degenerations are constructed from fan‐like structures over totally ordered abelian groups of finite ...
Tyler Foster, Dhruv Ranganathan
semanticscholar   +1 more source