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Showing 1 to 7 of 7 for “"Zero-Divisor"”.
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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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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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A study of homological invariants modulo an exact zero divisor
… ring of Q by an ideal generated by an exact zero divisor. We use differential graded structures to describe a construction that produces a minimal free resolution of an R-module from the free resolution of the same module, considered as a Q-module, and the free resolution of R as a Q-module. …
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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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Comparison of and Improvements to Degree Zero Divisor Class Group Arithmetic in Algebraic Function Fields
This thesis develops improved algorithms for Jacobian arithmetic in global function fields and compares the improvements to previous works. We present two independent improvements to Jacobian arithmetic based on the unique representation described in [13]. The first improvement requires the …
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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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The annihilation graphs of commutator posets and lattices
… widely generalized context for the study of the zero-divisor/ annihilating-ideal graphs, where the vertices of graphs are not elements/ideals of a commutative ring, but elements of an abstract ordered set (imitating the lattice of ideals), equipped with a binary operation (imitating products of …