Results 21 to 30 of about 172 (46)
LIFTED CODES OVER FINITE CHAIN RINGS [PDF]
In this paper, we study lifted codes over finite chain rings.
Dougherty, Steven T.+2 more
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On the imbedding of a direct product into a zero-dimensional commutative ring
This paper addresses questions related to results of M. Arapovic concerning imbeddability of a commutative unitary ring R in a zero-dimensional ring. The case where R is a product of zero-dimensional rings is of special interest.
R. Gilmer, W. Heinzer
semanticscholar +1 more source
On Linear Differential Equations Involving a Para-Grassmann Variable [PDF]
As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly.
Mansour, Toufik, Schork, Matthias
core +5 more sources
Commutativity of endomorphism rings of ideals. II
Let R be a commutative ring. In (1), it was proved that a ring R with noetherian total quotient ring is self-injective if and only if the endomorphism ring of every ideal is commutative.
S. Alamelu
semanticscholar +1 more source
The notion of a Z-algebra has a non-linear analogue, whose purpose it is to control operations on commutative rings rather than linear operations on abelian groups.
Borger, James, Wieland, Ben
core +2 more sources
Diameter and girth of Torsion Graph
Let R be a commutative ring with identity. Let M be an R-module and T (M)* be the set of nonzero torsion elements. The set T(M)* makes up the vertices of the corresponding torsion graph, ΓR(M), with two distinct vertices x, y ∈ T(M)* forming an edge if ...
Rad P. Malakooti+3 more
doaj +1 more source
If (R, ml, . , m,,) is a semilocal ring whose ideal lattice is topologically complete, it is shown that: given any natural number n and any decreasing sequence of ideals of R, there exists a natural number s(n) such that aS(,,) S ( npai) + mnI where m ...
Johnny A. Johnson
semanticscholar +1 more source
Construction of Barnette graphs whose large subgraphs are non-Hamiltonian
Barnette’s conjecture states that every three connected cubic bipartite planar graph (CPB3C) is Hamiltonian. In this paper we show the existence of a family of CPB3C Hamiltonian graphs in which large and large subgraphs are non-Hamiltonian.
Pirzada S., Shah Mushtaq A.
doaj +1 more source
Sums of Multivariate Polynomials in Finite Subgroups [PDF]
Let R be a commutative ring, f ∈ R[X1,⋯,Xk] a multivariate polynomial, and G a finite subgroup of the group of units of R satisfying a certain constraint, which always holds if R is a field.
Leonetti P, Marino A
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Asymptotic regularity of powers of ideals of points in a weighted projective plane
In this paper we study the asymptotic behavior of the regularity of symbolic powers of ideals of points in a weighted projective plane. By a result of Cutkosky, Ein and Lazarsfeld, regularity of such powers behaves asymptotically like a linear function ...
Cutkosky, Steven Dale, Kurano, Kazuhiko
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