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Showing 1 to 8 of 8 for “"zero divisors"”.
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Characterizing Zero Divisors of Group Rings
… 𝑘. To determine this we will need to know the zero divisors for the group ring 𝑘𝐺. Our investigations will be divided into two cases, namely when the characteristic of the field 𝑘 is the same as the prime p for the Prüfer group and when it is different.
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Zero Divisors, Group Von Neumann Algebras and Injective Modules
… translations which is intimately related to the zero divisor conjecture. We also discuss the square integrable representations of the generalized Wyle-Heisenberg group in 𝑛² dimensions and its relations with Gabor's question from Gabor Analysis in the light of the time-frequency equation. We …
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Characterizations Of Zero Divisor Graphs Determined By Equivalence Classes Of Zero Divisors
We study zero divisor graphs of commutative rings determined by equivalence classes of zero divisors, specifically for a Noetherian ring R. We study the classification of these graphs. Specifically, we add more criteria to the list of characterizations that disqualify a graph as the zero divisor …
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Analytic versions of the zero divisor conjecture
… and frustrating problems in algebra is the zero divisor conjecture. In this work we study some analytical versions of this conjecture. We will give sufficient conditions to determine when elements of CG are uniform non zero divisors, we also give sufficient conditions to determine when …
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Extensive categories, commutative semirings and Galois theory
… non-trivial additive inverses and no non-trivial zero divisors, we present an example of a normal extension of commutative semirings which has an underlying B-semimodule structure isomorphic to B×B.
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Zero Divisor Graphs and Poset Decomposition
… ring R where the vertices are the non-zero zero divisors of R with two vertices adjacent if x · y = 0. The zero-divisor graph has also been studied for various algebraic stuctures such as semigroups and partially ordered sets. In this paper, we will discuss some known results on …
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On the theory of Krull rings and injective modules
… is a torsion theory (N,M) where N is the pseudo-zero modules and M the set of N-torsion-free (BECK calls these co-divisorial) modules. From LAMBEK [1971] there is a full abelian sub category C, namely the category of N-torsion-free, N-divisible modules, with exact reflector. We show in C (I) …
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Frames In Hilbert C*-modules
… many alternative duals due to the existence of zero-divisors and not every dual of a Riesz basis is again a Riesz basis. We will present several such examples showing that the duals of Riesz bases in Hilbert $C^*$-modules are much different and more complicated than the Hilbert space cases. A …