Results 11 to 20 of about 618,863 (318)
Proceedings of the National Academy of Sciences, 1935 As a generalization of theorems of L. Pontryagin, E. R. van Kampen and D. van Dantzig, the authors prove the following theorems: Theorem I: A locally compact and separable (not necessarily associative or commutative) field \(F\) is either a hypercomplex system over the real field or is totally disconnected. Theorem III: A locally compact, separable and
Jacobson, Nathan, Taussky, O.
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Rings of Fractions and Localization [PDF]
Formalized Mathematics, 2020 Summary This article formalized rings of fractions in the Mizar system [3], [4]. A construction of the ring of fractions from an integral domain, namely a quotient field was formalized in [7]. This article generalizes a construction of fractions to a ring which is commutative and has zero divisor by means of a ...
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this work we give some new properties of GP- ideals as well as the relation between GP- ideals, - π regular and simple ring. Also we consider rings with every principal ideal are GP- ideals and establish relation between such rings with strongly ...
Raida Mahmood, Shahla Khalil
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Some results on PIT and GPIT theorems [PDF]
Journal of Hyperstructures, 2016 In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results.
M. Ebrahimpour
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2019 An ideal K of a ring R is called right (left) generalized pure (GP -ideal) if for every a ∈ K, there exists m ∈ Z+, and b ∈ K such that am = am b ( am = b am) . A ring R is called MLGP-ring if every right maximal ideal is left GP-ideal.
Raida mahmood, Ebtehal Mageed
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TOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES [PDF]
Journal of Algebraic Systems, 2021 Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then ...
A. R. Nazari, F. Rastgoo
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Repeated-Root Constacyclic Codes Over the Chain Ring Fpm[u]/⟨u3⟩
IEEE Access, 2020 Let Z = Fpm[u]/(u3) be the finite commutative chain ring, where p is a prime, m is a positive integer and Fpm is the finite field with pm elements. In this paper, we determine all repeated-root constacyclic codes of arbitrary lengths over Z and their ...
Tania Sidana, Anuradha Sharma
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Vanishing of cohomology over Cohen--Macaulay rings [PDF]
, 2012 A 2003 counterexample to a conjecture of Auslander brought attention to a family of rings - colloquially called AC rings - that satisfy a natural condition on vanishing of cohomology.
Christensen, Lars Winther, Holm, Henrik
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On the localization ring of a ring
Journal of Algebra, 1970 Dans la première section on introduit des notions fondamentales: topologie additive, la localisation, etc. et on démontre des résultats généraux sur ces notions. Dans la deuxième section on obtient des résultats sur les topologies additives pour un anneau commutatif en utilisant les idéaux premiers.
Năstăsescu, C, Popescu, N
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On the (non)rigidity of the Frobenius Endomorphism over Gorenstein Rings [PDF]
, 2010 It is well-known that for a large class of local rings of positive characteristic, including complete intersection rings, the Frobenius endomorphism can be used as a test for finite projective dimension.
Dao, H., Li, J., Miller, C.
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