Results 1 to 10 of about 1,521,822 (227)
Algebraicity in local rings [PDF]
Journal of Mathematical Sciences, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. Kachkovski
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
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Local rings with noetherian filtrations [PDF]
Pacific Journal of Mathematics, 1971 Chin-Pi Lu
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On Representability of a Finite Local Ring
Journal of Algebra, 2000 It is known that any nilpotent ring is embeddable in a ring of matrices over a commutative ring and there is a finite ring which cannot be embedded in a ring of matrices over a commutative ring (the first example was constructed by G.~M.~Bergman). The author investigates the following unsolved question: Let \(R\) be a finite local ring with identity ...
exaly +3 more sources
On hereditary irreducibility of some monomial matrices over local rings
Karpatsʹkì Matematičnì Publìkacìï, 2021 We consider monomial matrices over a commutative local principal ideal ring $R$ of type $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0\,\,&tI_{n-k}\end{smallmatrix}\right ...
A.A. Tylyshchak, M. Demko
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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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Enumeration of some matrices and free linear codes over commutative finite local rings
Special Matrices, 2021 Let R be a commutative finite local ring. Two enumeration problems over R are presented. We enumerate the matrices over R with a given McCoy rank and a given number of rows of single unit, and the free linear codes over R which have a given rank and a ...
Sirisuk Siripong
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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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BMC Geriatrics, 2020 Background Little is known about treatment provided to people living in nursing care facilities (NCFs) after hospital admission for hip fracture. In addition, there are no clinical guidelines for rehabilitation and recovery following hip fracture for ...
Maggie Killington +8 more
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Strongly Pure Ideals And Strongly Pure Sub-modules [PDF]
Kirkuk Journal of Science, 2015 Let R be aring with unity , and let M be an unitary R-module . In this work we present strongly pure ideal (submodule) concept as a generalization of pure ideal (submodule) . Also we generalize some properties of strongly pure ideal (submodule) .
Nada Khalid Abdullah
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