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P-injective group rings

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 \(N_R\).
openaire   +2 more sources

J-Boolean group rings and skew group rings

Journal of Algebra and Its Applications, 2018
A 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
openaire   +1 more source

Groups, Rings and Group Rings

2006
GIAMBRUNO, Antonino   +2 more
openaire   +4 more sources

Integral Group Rings of Finite Groups

Canadian Mathematical Bulletin, 1967
The 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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Quotient Rings of Group Rings

Journal of the London Mathematical Society, 1971
openaire   +2 more sources

Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes

Chemical Reviews, 2021
Vincent Pirenne   +2 more
exaly  

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