Results 1 to 10 of about 384,528 (314)
Metric spaces related to Abelian groups
Applied General Topology, 2021 When working with a metric space, we are dealing with the additive group (R, +). Replacing (R, +) with an Abelian group (G, ∗), offers a new structure of a metric space. We call it a G-metric space and the induced topology is called the G-metric topology.
Amir Veisi, Ali Delbaznasab
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Sums and products of intervals in ordered semigroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We show a simple example for ordered semigroup 𝕊 = 𝕊 (+,⩽) that 𝕊 ⊆ℝ (ℝ denotes the real line) and ]a, b[ + ]c, d[ = ]a + c, b + d[ for all a, b, c, d ∈ 𝕊 such that a < b and c < d, but the intervals are no translation invariant, that is, the equation c +
Glavosits T., Karácsony Zs.
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A classification of hull operators in archimedean lattice-ordered groups with unit [PDF]
Categories and General Algebraic Structures with Applications, 2020 The category, or class of algebras, in the title is denoted by $\bf W$. A hull operator (ho) in $\bf W$ is a reflection in the category consisting of $\bf W$ objects with only essential embeddings as morphisms.
Ricardo E. Carrera, Anthony W. Hager
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When ${\rm Min}(G)^{-1}$ has a clopen $øldpi$-base [PDF]
Mathematica Bohemica, 2021 It is our aim to contribute to the flourishing collection of knowledge centered on the space of minimal prime subgroups of a given lattice-ordered group. Specifically, we are interested in the inverse topology. In general, this space is compact and $T_1$,
Ramiro Lafuente-Rodriguez +1 more
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Group constraint relations for five-point amplitudes in gauge theories with SO(N) and Sp(2N) groups
Nuclear Physics B, 2021 Linear constraint relations among loop-order five-point color-ordered amplitudes in SO(N) and Sp(2N) gauge theories are derived with the group-theoretic method. These constrains are derived up to four-loop order.
Jia-Hui Huang
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On monotonic bijections on subgroups of R
Applied General Topology, 2016 We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically isomorphic to $\langle G, +\rangle$
Raushan Buzyakova
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Complex Intuitionistic Fuzzy Soft Lattice Ordered Group and Its Weighted Distance Measures
Mathematics, 2020 In recent years, the complex fuzzy set theory has intensified the attention of many researchers. This paper focuses on developing the algebraic structures pertaining to lattice ordered groups and lattice ordered subgroups for complex intuitionistic fuzzy
S. Rajareega, J. Vimala, D. Preethi
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The order of a group of even order [PDF]
Proceedings of the American Mathematical Society, 2007 We will give an estimation of the order of a group of even order by the order of the centralizer of an involution using the classification of finite simple groups.
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npj Computational Materials, 2021 The electrochemical thermodynamic and kinetic characteristics of rechargeable batteries are critically influenced by the ordering of mobile ions in electrodes or solid electrolytes. However, because of the experimental difficulty of capturing the lighter
Yunbing Ran +12 more
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On the order of a group of even order
Journal of Algebra, 2007 Let \(G\) be a group of even order with a unique conjugacy class of involutions. In the paper under review the authors provide an upper bound for the order of \(G\) in terms of the centralizer \(H=C_G(t)\) of an involution \(t\) in \(G\). As an application the authors provide examples of sporadic simple groups, the groups \(Ly\) and \(Th\), whose ...
Harada, Koichiro, Miyamoto, Masahiko
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