Results 1 to 10 of about 611,811 (161)
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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The Structure of Local Rings with Singleton Basis and Their Enumeration
Mathematics, 2022 A local ring is an associative ring with unique maximal ideal. We associate with each Artinian local ring with singleton basis four invariants (positive integers) p,n,s,t.
Yousef Alkhamees, Sami Alabiad
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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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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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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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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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Proceedings of the American Mathematical Society, 1982 In this paper we introduce the notion of a strict local ring. A local Cohen-Macaulay ring ( B , m ) (B,m) is called strict if, whenever a local ring ( A , n ) (A,n) specializes by a regular sequence to B B , then the associated ...
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Nagoya Mathematical Journal, 1966 Many questions about free ideal rings ( = firs, cf. [5] and §2 below) which at present seem difficult become much easier when one restricts attention to local rings. One is then dealing with hereditary local rings, and any such ring is in fact a fir (§2). Our object thus is to describe hereditary local rings. The results on firs in [5] show that such a
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