Results 291 to 300 of about 861,658 (327)
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2015
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra.
Jespers, Eric, Del Rio Mateos, Angel
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This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra.
Jespers, Eric, Del Rio Mateos, Angel
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Rings of Quotients of Group Rings
Canadian Journal of Mathematics, 1969The group ring AG of a group G and a ring A is the ring of all formal sums Σg∈G agg with ag ∈ A and with only finitely many non-zero ag. Elements of A are assumed to commute with the elements of G. In (2), Connell characterized or completed the characterization of Artinian, completely reducible and (von Neumann) regular group rings ((2) also contains ...
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Journal of Group Theory, 2003
Summary: For a vector space \(V\) over the division ring \(D\), let \(\text{FEnd}_D(V)\) be the set of all \(D\)-transformations \(x\in\text{End}_D(V)\) such that \(x\) has finite rank, and let \(\text{FGL}_D(V)\) be the set of all \(g\in\text{GL}_D(V)\) such that \(g-1\) has finite rank.
Phillips, Richard E., Wald, Jeanne
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Summary: For a vector space \(V\) over the division ring \(D\), let \(\text{FEnd}_D(V)\) be the set of all \(D\)-transformations \(x\in\text{End}_D(V)\) such that \(x\) has finite rank, and let \(\text{FGL}_D(V)\) be the set of all \(g\in\text{GL}_D(V)\) such that \(g-1\) has finite rank.
Phillips, Richard E., Wald, Jeanne
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Czechoslovak Mathematical Journal, 2020
Let \(RG\) be the group ring of a group \(G\) over an associative ring \(R\) with identity. In this paper the considered modules are unitary. Let \(\mathrm{Hom}_R(M_R,N_R)\) be the set of all \(R\)-homomorphisms between two right \(R\)-modules \(M_R\) and \(N_R\).
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Let \(RG\) be the group ring of a group \(G\) over an associative ring \(R\) with identity. In this paper the considered modules are unitary. Let \(\mathrm{Hom}_R(M_R,N_R)\) be the set of all \(R\)-homomorphisms between two right \(R\)-modules \(M_R\) and \(N_R\).
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J-Boolean group rings and skew group rings
Journal of Algebra and Its Applications, 2018A ring [Formula: see text] is called semiboolean if [Formula: see text] is boolean and idempotents lift modulo [Formula: see text], where [Formula: see text] denotes the Jacobson radical of [Formula: see text]. In this paper, we define [Formula: see text]-boolean rings as a generalization of semiboolean rings.
Udar, Dinesh +2 more
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Integral Group Rings of Finite Groups
Canadian Mathematical Bulletin, 1967The main object of this paper is to show that the existence of a particular kind of isomorphism between the integral group rings of two finite groups implies that the groups themselves are isomorphic. The proof employs certain types of linear forms which are first discussed in general.
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
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Cancer statistics for the US Hispanic/Latino population, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
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