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Currently displaying 1 – 2 of 2

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P-injective group rings

Liang Shen — 2020

Czechoslovak Mathematical Journal

A ring $R$ is called right P-injective if every homomorphism from a principal right ideal of $R$ to $R_{R}$ can be extended to a homomorphism from $R_{R}$ to $R_{R}$ . Let $R$ be a ring and $G$ a group. Based on a result of Nicholson and Yousif, we prove that the group ring $RG$ is right P-injective if and only if (a) $R$ is right P-injective; (b) $G$ is locally finite; and (c) for any finite subgroup $H$ of $G$ and any principal right ideal $I$ of $RH$ , if $f \in {Hom}_{R} (I_{R}, R_{R})$ , then there exists $g \in {Hom}_{R} ({RH}_{R}, R_{R})$ such that ${g |}_{I} = f$ . Similarly, we also obtain equivalent characterizations...

Various constants associated with quasidisks and quasisymmetric homeomorphisms.

Shen, Yu-Liang — 2004

Publications de l'Institut Mathématique. Nouvelle Série

Page 1

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