Results 11 to 20 of about 1,766,233 (264)
A classification of hull operators in archimedean lattice-ordered groups with unit [PDF]
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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Exploring Citizenship Unit III: My Clubs and Groups
The 4-H Citizenship Project offers you the opportunity to help 4-H members relate all of their 4-H projects and experiences to the world around them.
Joy Jordan
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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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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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On sets with unit Hausdorff density in homogeneous groups
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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Group algebras with an Engel group of units [PDF]
AbstractLet F be a field of characteristic p and G a group containing at least one element of order p. It is proved that the group of units of the group algebra FG is a bounded Engel group if and only if FG is a bounded Engel algebra, and that this is the case if and only if G is nilpotent and has a normal subgroup H such that both the factor group G/H
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Group Identities on Units of Group Algebras
Let \(U\) be the group of units of the group algebra \(FG\), where \(G\) is a group and \(F\) is a field. This paper is concerned with determining when \(U\) satisfies a group identity. If \(G\) is torsion, then this question was settled in recent years, thereby yielding an affirmative solution to Hartley's problem.
Giambruno, A., Sehgal, S.K., Valenti, A.
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On unit group of finite semisimple group algebras of non-metabelian groups up to order 72 [PDF]
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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Free Unit Groups in Group Algebras
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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Unit groups of integral group rings [PDF]
Let U ( Z G )
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