Results 11 to 20 of about 582,878 (165)
More on the Schur group of a commutative ring
The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphic image of a group ring RG for some finite group G.
R. A. Mollin
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ON-SITE SEMANTIC MAPPING OF ARCHAEOLOGICAL EXCAVATION AREAS [PDF]
3D laser scanning is the state of the art in modeling archaeological excavation sites, historical sites and even entire cities or landscapes. The documentation of findings on an excavation site is an essential archaeological task.
H. Houshiar +5 more
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An associative ring \(R\) with identity is said to be reversible if \(ab=0\) implies \(ba=0\) for all \(a,b\in R\). The main problem of this paper is the question when the group ring \(K[G]\) of a group \(G\) over a field \(K\) is reversible. The authors prove that if \(G\) is a non-Abelian torsion group and \(K[G]\) is reversible, then \(G\) is ...
Gutan, Marin, Kisielewicz, Andrzej
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Normality in group rings [PDF]
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BOVDI V, SICILIANO, Salvatore
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A ring \(R\) is said to be (i) `duo' if every one-sided ideal is two-sided, and (ii) `reversible' if whenever \(\alpha\beta=0\) for \(\alpha,\beta\in R\), then \(\beta\alpha=0\). The main result of this paper states that, for the group algebra \(KG\) of a torsion group \(G\) over a field \(K\), these two properties are equivalent.
Bell, Howard E., Li, Yuanlin
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Group extensions and automorphism group rings [PDF]
The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
Martino, John, Priddy, Stewart
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In this study, we analyze a signal segmentation-specific pain duration transfer task by applying knowledge transfer from short-term (phasic) pain stimuli to long-term (tonic) pain stimuli.
Tobias Benjamin Ricken +3 more
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Hopfian additive groups of rings [PDF]
A group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
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Study on Deformation Characteristics of Low-Highway Subgrade under Traffic Load
Highway subgrade bears millions of traffic loads over the years, and its strength, stiffness, and long-term stability gradually decline. In this paper, dynamic triaxial tests were carried out to study the time evolution and spatial distribution of strain
Hui Qi +6 more
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On one class of modules over group rings with finiteness restrictions [PDF]
The author studies the $bf R$$G$-module $A$ such that $bf R$ is an associative ring, a group $G$ has infinite section $p$-rank (or infinite 0-rank), $C_{G}(A)=1$, and for every proper subgroup $H$ of infinite section $p$-rank (or infinite 0-rank ...
Olga Dashkova
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