Group identities on units of rings
From MaRDI portal
Publication:1337752
DOI10.1007/BF01189563zbMath0811.16027OpenAlexW1996728686MaRDI QIDQ1337752
Eric Jespers, Angela Valenti, Antonio Giambruno
Publication date: 13 November 1994
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01189563
Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Units, groups of units (associative rings and algebras) (16U60)
Related Items (38)
Prime rings whose units satisfy a group identity ⋮ Group algebras with symmetric units satisfying a group identity. ⋮ Some identities on twisted group algebras ⋮ Notes on the history of identities on group (and loop) algebras ⋮ Group and polynomial identities in group rings ⋮ ON NIL SUBSEMIGROUPS OF RINGS WITH GROUP IDENTITIES ⋮ Unnamed Item ⋮ Nilpotent Symmetric Units in Group Rings ⋮ Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity ⋮ Oriented group involutions in group algebras: a survey ⋮ Symmetric units satisfying a group identity. ⋮ Star-group identities and groups of units. ⋮ Group rings whose unitary units are nilpotent. ⋮ Star group identities on units of group algebras ⋮ Star-group identities on units of group algebras: the non-torsion case ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ On Laurent polynomial identities ⋮ Group algebras whose units satisfy a group identity ⋮ Group algebras whose units satisfy a group identity. II ⋮ GROUP ALGEBRAS WITH ENGEL UNIT GROUPS ⋮ Group Rings Whose Symmetric Units Generate ann-Engel Group ⋮ Group identities on the units of algebraic algebras with applications to restricted enveloping algebras. ⋮ Group identities on units of group algebras ⋮ Group algebras whose units satisfy a Laurent polynomial identity ⋮ *-Group identities on units of division rings ⋮ A Survey on *-Group Identities on Units of Group Rings ⋮ On group identities for the unit group of algebras and semigroup algebras over an infinite field. ⋮ Prime Rings Whose Units Satisfy a Group Identity. II ⋮ Group Algebras with Locally Nilpotent Unit Groups ⋮ Algebras whose units satisfy a \(*\)-Laurent polynomial identity ⋮ Unitary Units Satisfying a Group Identity ⋮ Identities of Group Algebras ⋮ Group identities on symmetric units. ⋮ Some properties on rings with units satisfying a group identity ⋮ Additive mappings and identities on unit groups of algebraic algebras ⋮ On units of twisted group algebras ⋮ Identities on units of algebraic algebras ⋮ Group identities on units of locally finite algebras and twisted group algebras
Cites Work
This page was built for publication: Group identities on units of rings