Results 1 to 10 of about 386,092 (314)
Partially Ordered Group of the 2×2 Symmetric Matrices [PDF]
InPrime, 2019 This paper deals with the partially ordered group of the 2×2 symmetric matrices. A matrix is defined to be a positive if each entry of the matrix is positive. With the characterization of the 2×2 symmetric matrix, we construct the positive cone such that
Irmatul Hasanah
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On the Embedding of Ordered Semigroups into Ordered Group [PDF]
Czechoslovak Mathematical Journal, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim, Mohammed Ali Faya
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Periodic Ordered Permutation Groups and Cyclic Orderings [PDF]
Journal of Combinatorial Theory, Series B, 1995 It is shown that periodic ordered permutation groups satisfying certain extra conditions are very nearly simple. This is applied to several natural examples, such as the following. (i) If \(z\) denotes the map \(x \mapsto x + 1\) on \(\mathbb{R}\), and \(\text{Diff}(\mathbb{R})\) is the group of diffeomorphisms of \(\mathbb{R}\), then \(C_{\text{Diff}(\
Manfred Droste +2 more
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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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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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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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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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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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