Results 31 to 40 of about 568 (161)
Ordered groups with greatest common divisors theory
International Journal of Mathematics and Mathematical Sciences, 2000 An embedding (called a GCD theory) of partly ordered abelian group G into abelian l-group Γ is investigated such that any element of Γ is an infimum of a subset (possible non-finite) from G. It is proved that a GCD theory need not be unique.
Jiří Močkoř
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Piranti Lunak Pengujian Struktur Matematika Grup, Ring, Field Berbasis Osp (Open Source Program)
ComTech, 2014 This design of a computer software is a development and continuation of the software made on the previous research (2009/2010). However, this further research developed and expanded the scopes of testing more on the Siclic Group, Isomorphism Group, Semi
Ngarap Im Manik, Don Tasman
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Energy–pressure relation for low-dimensional gases
Nuclear Physics B, 2014 A particularly simple relation of proportionality between internal energy and pressure holds for scale-invariant thermodynamic systems (with Hamiltonians homogeneous functions of the coordinates), including classical and quantum – Bose and Fermi – ideal ...
Francesco Mancarella +2 more
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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.
Gómez Pérez, Domingo +2 more
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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
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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
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The Ideal Membership Problem and Abelian Groups
, 2022 Given polynomials $f_0,\dots, f_k$ the Ideal Membership Problem, IMP for short, asks if $f_0$ belongs to the ideal generated by $f_1,\dots, f_k$. In the search version of this problem the task is to find a proof of this fact. The IMP is a well-known fundamental problem with numerous applications, for instance, it underlies many proof systems based on ...
Bulatov, Andrei A., Rafiey, Akbar
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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
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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