Results 11 to 20 of about 88,501 (223)
Smarandache Zero Divisors [PDF]
Smarandache Notions Journal archive, 2001 Studying the notion of Smarandache zero divisor in semigroups and rings, illustrating them with examples and proving some interesting results about ...
Vasantha, Kandasamy
core +4 more sources
Inverses and zero-divisors [PDF]
Bulletin of the American Mathematical Society, 1942 Reinhold Baer
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Zero divisors in differential rings [PDF]
Pacific Journal of Mathematics, 1971 Howard Gorman
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On the planarity of the k-zero-divisor hypergraphs
AKCE International Journal of Graphs and Combinatorics, 2015 Let R be a commutative ring with identity and let Z(R,k) be the set of all k-zero-divisors in R and k>2 an integer. The k-zero-divisor hypergraph of R, denoted by Hk(R), is a hypergraph with vertex set Z(R,k), and for distinct element x1,x2,…,xk in Z(R,k)
T. Tamizh Chelvam +2 more
doaj +3 more sources
Zero-divisor graphs and zero-divisor functors
Journal of Algebra and Its Applications, 2023 Inspired by a very recent work of A. Đurić, S. Jevđenić and N. Stopar, we introduce a new definition of zero-divisor graphs attached to rings that includes all of the classical definitions already known in the literature. We provide an interpretation of such graphs by means of a functor that we call zero-divisor functor and which is associated with a ...
Enrico Sbarra, Maurizio Zanardo
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Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
Zero-divisor ideals and realizable zero-divisor graphs [PDF]
Involve, a Journal of Mathematics, 2009 We seek to classify the sets of zero-divisors that form ideals based on their zero-divisor graphs. We offer full classification of these ideals within finite commutative rings with identity. We also provide various results concerning the realizability of a graph as a zero-divisor graph. 1.
Axtell, Michael +2 more
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A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors [PDF]
Communications in Algebra, 2011 We study the zero divisor graph determined by equivalence classes of zero divisors of a commutative Noetherian ring R. We demonstrate how to recover information about R from this structure. In particular, we determine how to identify associated primes from the graph.
Cameron Wickham, Sandra Spiroff
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source