Group algebras whose units satisfy a group identity
From MaRDI portal
Publication:4332992
DOI10.1090/S0002-9939-97-03581-8zbMath0863.16018OpenAlexW1898983637MaRDI QIDQ4332992
Antonio Giambruno, Angela Valenti, Sudarshan K. Sehgal
Publication date: 19 February 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03581-8
Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60) Identities other than those of matrices over commutative rings (16R40)
Related Items (44)
Prime rings whose units satisfy a group identity ⋮ Group algebras with symmetric units satisfying a group identity. ⋮ 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 ⋮ GROUP IDENTITIES IN INCIDENCE RINGS ⋮ Group rings whose symmetric units are nilpotent ⋮ Nil-generated algebras and group algebras whose units satisfy a Laurent polynomial identity ⋮ Unnamed Item ⋮ Oriented group involutions in group algebras: a survey ⋮ Symmetric units satisfying a group identity. ⋮ Star-group identities and groups of units. ⋮ Attaching a matrix algebra to affine group schemes: polynomial identities ⋮ Group rings whose unitary units are nilpotent. ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ On Laurent polynomial identities ⋮ Identities and derived lengths of finitary incidence algebras and their group of units ⋮ Group algebras whose units satisfy a group identity. II ⋮ Locally solvable unit group of crossed products ⋮ 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 ⋮ A Survey on *-Group Identities on Units of Group Rings ⋮ FREE SUBGROUPS IN THE GROUP OF UNITS OF A TWISTED GROUP ALGEBRA ⋮ On group identities for the unit group of algebras and semigroup algebras over an infinite field. ⋮ Group Identities and Prime Rings Generated by Units ⋮ Prime Rings Whose Units Satisfy a Group Identity. II ⋮ POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS ⋮ TWISTED GROUP ALGEBRAS SATISFYING A GENERALIZED POLYNOMIAL IDENTITY ⋮ TWISTED GROUP ALGEBRAS SATISFYING A GENERALIZED POLYNOMIAL IDENTITY ⋮ Group Algebras with Locally Nilpotent Unit Groups ⋮ Algebras whose units satisfy a \(*\)-Laurent polynomial identity ⋮ Unitary Units Satisfying a Group Identity ⋮ Group identities on symmetric units. ⋮ Some properties on rings with units satisfying a group identity ⋮ Group algebras with units satisfying an Engel identity ⋮ 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 algebras whose units satisfy a group identity