Results 11 to 20 of about 8,108,530 (300)

The $n$-generator property for commutative rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
Let D be an integral domian with identity. If for some positive integer n, each finitely generated ideal of D has a basis of n elements, then the integral closure of D is a Prufer domain.
R. Gilmer
semanticscholar   +3 more sources

A combinatorial commutativity property for rings [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 2002
We study commutativity in rings R with the property that for a fixed positive integer n, xS = Sx for all x ∈ R and all n‐subsets S of R.
Howard E. Bell, Abraham A. Klein
openalex   +5 more sources

The Laskerian property in commutative rings

open access: yesJournal of Algebra, 1981
1. INTRODUCTION Primary decomposition is a venerable tool in commutative algebra; indeed, Emmy Noether studied rings with the ascending chain condition on ideals because primary decomposition was available there [9 J. Though many results for which it was once used are now proved by other means, primary decomposition itself is still finding new ...
W. Heinzer, David Lantz
semanticscholar   +3 more sources

On the commutative properties of boundary integral operators [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1979
A discussion of the interior Dirichlet and Neumann problems of classical potential theory can be given in terms of the symmeterisers of certain related integral operators. Recent developments in the theory and application of integral equations of the first kind have made this approach towards the solution of boundary value problems a more attractive ...
G. F. Roach
  +5 more sources

On the Commutation Properties of Finite Convolution and Differential Operators I: Commutation. [PDF]

open access: yesResults in Mathematics, 2021
The commutation relation $KL = LK$ between finite convolution integral operator $K$ and differential operator $L$ has implications for spectral properties of $K$. We characterize all operators $K$ admitting this commutation relation. Our analysis places no symmetry constraints on the kernel of $K$ extending the well-known results of Morrison for real ...
Yury Grabovsky, Narek Hovsepyan
openaire   +5 more sources

Semigroup Structures and Commutative Ideals of BCK-Algebras Based on Crossing Cubic Set Structures

open access: yesAxioms, 2022
First, semigroup structure is constructed by providing binary operations for the crossing cubic set structure. The concept of commutative crossing cubic ideal is introduced by applying crossing cubic set structure to commutative ideal in BCK-algebra, and
Mehmet Ali Öztürk   +2 more
doaj   +1 more source

Neutrosophic Fuzzy Matrices and Some Algebraic Operations [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In this article, we study neutrosophic fuzzy set and define the subtraction and multiplication of two rectangular and square neutrosophic fuzzy matrices.
Rakhal Dasand   +2 more
doaj   +1 more source

Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures

open access: yesMathematics, 2021
As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras.
Seok-Zun Song   +2 more
doaj   +1 more source

Hypercyclicity Properties of Commutator Maps [PDF]

open access: yesIntegral Equations and Operator Theory, 2016
We investigate the hypercyclic properties of commutator maps acting on separable ideals of operators. As the main result we prove the commutator map induced by scalar multiples of the backward shift operator fails to be hypercyclic on the space of compact operators on $\ell^2$. We also establish some necessary conditions which identify large classes of
Clifford Gilmore   +2 more
openaire   +5 more sources

Generalized commutative quaternions of the Fibonacci type

open access: yesBoletín de la Sociedad Matematica Mexicana, 2021
Quaternions are a four-dimensional hypercomplex number system discovered by Hamilton in 1843 and next intensively applied in mathematics, modern physics, computer graphics and other fields.
A. Szynal-Liana, I. Włoch
semanticscholar   +1 more source

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