Results 51 to 60 of about 1,263,781 (250)
Cayley Digraphs of Finite Abelian Groups and Monomial Ideals [PDF]
SIAM Journal on Discrete Mathematics, 2007 In the study of double-loop computer networks, the diagrams known as L-shapes arise as a graphical representation of an optimal routing for every graph’s node. The description of these diagrams provides an efficient method for computing the diameter and the average minimum distance of the corresponding graphs.
Domingo Gómez +2 more
openaire +2 more sources
Some Questions on the Ideal Class Group of Imaginary Abelian Fields
, 2007 Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal.
Itoh, Tsuyoshi
core +1 more source
On Semiabelian π-Regular Rings
International Journal of Mathematics and Mathematical Sciences, 2007 A ring R is defined to be semiabelian if every idempotent of R is either right semicentral or left semicentral. It is proved that the set N(R) of nilpotent elements in a π-regular ring R is an ideal of R if and only if R/J(R) is abelian, where J(R) is ...
Weixing Chen
doaj +1 more source
, 2013 summary:A ring $R$ is defined to be left almost Abelian if $ae=0$ implies $aRe=0$ for $a\in N(R)$ and $e\in E(R)$, where $E(R)$ and $N(R)$ stand respectively for the set of idempotents and the set of nilpotents of $R$.
Wei, Junchao
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Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
doaj +1 more source
Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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Order Ideals on Lexicographic Direct Sum of Three Totally Ordered Abelian Groups
Cauchy: Jurnal Matematika Murni dan AplikasiOrder ideals play an important role in the study of abstract algebra, especially in the study of ordered groups. In this paper, we focus on the study of order ideals in lexicographic direct sums of totally ordered Abelian groups.
Dian Latifah +3 more
doaj +1 more source
Emergent Spin Hall Quantization and High‐Order van Hove singularities in Square‐Octagonal MA2Z4
Advanced Physics Research, EarlyView.Square‐octagonal MA2Z4 (M = Mo/W, A = Si/Ge, Z = pnictogen) monolayers are predicted to realize quantum spin Hall insulators with nearly quantized spin Hall conductivity enabled by an emergent spin U(1) quasi‐symmetry. Materials with Z = As and Sb host quasi‐flat bands with high‐order van Hove singularities near the Fermi level, making them promising ...
Rahul Verma +3 more
wiley +1 more source
On split involutive regular BiHom-Lie superalgebras
Open Mathematics, 2020 The goal of this paper is to examine the structure of split involutive regular BiHom-Lie superalgebras, which can be viewed as the natural generalization of split involutive regular Hom-Lie algebras and split regular BiHom-Lie superalgebras.
Guo Shuangjian +2 more
doaj +1 more source