GROUP ALGEBRAS WITH ENGEL UNIT GROUPS

DOI10.1017/S1446788716000094zbMath1373.16045MaRDI QIDQ2976233

Mojtaba Ramezan-Nassab

Publication date: 28 April 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

group algebraunit grouppolynomial identityEngel ringgroup identity, Engel group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Engel conditions (20F45) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Group algebras whose p-elements form a subgroup ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ ON ENGEL QUASI-NORMAL SUBGROUP IN DIVISION RINGS WITH UNCOUNTABLE CENTER ⋮ GROUP ALGEBRAS WHOSE UNIT GROUP IS LOCALLY NILPOTENT ⋮ Some algebraic algebras with Engel unit groups ⋮ Additive mappings and identities on unit groups of algebraic algebras

Cites Work

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• On associative algebras satisfying the Engel condition
• Group identities on units of rings
• Group algebras with units satisfying an Engel identity
• Group identities on units of group algebras
• Group identities on units and symmetric units of group rings.
• Group Algebras with Locally Nilpotent Unit Groups
• RINGS SATISFYING GENERALIZED ENGEL CONDITIONS
• Group algebras with units satisfying a group identity
• Group algebras with units satisfying a group identity II
• Group algebras whose units satisfy a group identity
• Some skew linear groups with Engel's condition
• Group algebras with an Engel group of units

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