Results 21 to 30 of about 17,401,899 (301)
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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Presentations for Quaternionic S-Unit Groups [PDF]
Experimental Mathematics, 2014 We give an algorithm for presenting S-unit groups of an order in a definite rational quaternion algebra B such that for every p ∈ S at which B splits, the localization of at p is maximal, and all left ideals of of norm p are principal. We then apply this
T. Chinburg +7 more
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Scientific Reports, 2020 Both humans and pet dogs are more prone to develop allergies in urban than in rural environments, which has been associated with the differing microbial exposures between areas.
Jenni Lehtimäki +5 more
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Frontiers in Immunology, 2023 BackgroundDuring the COVID-19 pandemic, a variable percentage of patients with SARS-CoV-2 infection failed to elicit humoral response. This study investigates whether patients with undetectable SARS-CoV-2 IgG are able to generate SARS-CoV-2 memory T ...
Raquel Fernández-Moreno +17 more
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Unit groups of integral group rings [PDF]
Proceedings of the American Mathematical Society, 1994 Let U ( Z G ) U(\mathbb {Z}G) be the unit group of the integral group ring Z G \mathbb {Z}G . A group G G satisfies ( ∗ ) ({\ast }) if either the set
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On sets with unit Hausdorff density in homogeneous groups
Forum of Mathematics, Sigma, 2023 It is a longstanding conjecture that given a subset E of a metric space, if E has unit $\mathscr {H}^{\alpha }\llcorner E$ -density almost everywhere, then E is an $\alpha $ -rectifiable set. We prove this conjecture under the assumption that
Antoine Julia, Andrea Merlo
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On unit group of finite semisimple group algebras of non-metabelian groups up to order 72 [PDF]
Mathematica Bohemica, 2021 We characterize the unit group of semisimple group algebras $\mathbb{F}_qG$ of some non-metabelian groups, where $F_q$ is a field with $q=p^k$ elements for $p$ prime and a positive integer $k$.
Gaurav Mittal, Rajendra Kumar Sharma
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Unit Groups of group algebras of certain quasidihedral group
Surveys in Mathematics and its Applications, 2020 Let $F_{q}$ be any finite field of characteristic $p>0$ having $q = p^{n}$ elements. In this paper, we have obtained the complete structure of unit groups of group algebras $F_{q}[QD_{2^k}]$, for $k = 4$ and $5$, for any prime $p>0$, where $QD_{2^k}$ is quasidihedral group of order $2^k$
Suchi Bhatt, Harish Chandra
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Free Unit Groups in Group Algebras
Journal of Algebra, 2001 Let \(K\) be a field and \(G\) be a finite group, which satisfies one of the following conditions: (i) \(K\) is of characteristic \(0\) and \(G\) is nonabelian; (ii) \(K\) is of characteristic \(p\) and for the largest normal \(p\)-subgroup \(P\) of \(G\) the factor-group \(G/P\) is nonabelian.
Gonçalves, J.Z, Passman, D.S
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Which alternating and symmetric groups are unit groups [PDF]
, 2013 We prove there is no ring with unit group isomorphic to S_n for n \geq 5 and that there is no ring with unit group isomorphic to A_n for n \geq 5, n \neq 8.
Christopher Davis, Tommy Occhipinti
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