Results 11 to 20 of about 1,879,895 (298)
Chain conditions on composite Hurwitz series rings
Open Mathematics, 2017 In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
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Finite Commutative Chain Rings [PDF]
Finite Fields and Their Applications, 2001 A commutative ring with unit is called a chain ring if all its ideals form a chain under inclusion. All finite chain rings can be obtained in the following way: Let \(p\) be a prime, \(n,r>0\), \(f\in \mathbb{Z}_{p^n}[X]\) a monic polynomial, \(\deg(f)=r\) whose image in \(\mathbb{Z}_p[X]\) is irreducible and let \(\text{GR} (p^n,r): =\mathbb{Z}_{p^n ...
Hou, Xiang-dong, Xiang-dong Hou
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γ-Dual Codes over Finite Commutative Chain Rings
AxiomsIn this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings are explored.
Hai Q. Dinh +2 more
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, 1970 The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
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Characterizations of rings and modules by means of lattices [PDF]
, 1965 PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
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Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A. +1 more
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A representation theorem for Chain rings [PDF]
Colloquium Mathematicum, 2003 Though usually a left `chain ring' means any ring whose left ideals are totally ordered by inclusion, in this paper the authors understand by a chain ring any local ring with identity, both sided Artinian and principal ideal ring. The main purpose of this paper it to establish a representation theorem for such rings in terms of appropriate homomorphic ...
Alkhamees, Yousef +2 more
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Rings with annihilator chain conditions and right distributive rings [PDF]
Proceedings of the American Mathematical Society, 1993 We prove that if a right distributive ring R R , which has at least one completely prime ideal contained in the Jacobson ...
Ferrero, Miguel, Törner, Günter
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Constacyclic Codes over Finite Chain Rings of Characteristic p
Axioms, 2021 Let R be a finite commutative chain ring of characteristic p with invariants p,r, and k. In this paper, we study λ-constacyclic codes of an arbitrary length N over R, where λ is a unit of R.
Sami Alabiad, Yousef Alkhamees
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The Mechanics of a Chain or Ring of Spherical Magnets [PDF]
SIAM Journal on Applied Mathematics, 2013 Strong magnets, such as neodymium-iron-boron magnets, are increasingly being manufactured as spheres. Because of their dipolar characters, these spheres can easily be arranged into long chains that exhibit mechanical properties reminiscent of elastic strings or rods.
Cameron L. Hall +2 more
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