KRULL DIMENSION OF MODULES OVER INVOLUTION RINGS

Authors
BEIDAR KI PUCZYLOWSKI ER SMITH PF
Citation
Ki. Beidar et al., KRULL DIMENSION OF MODULES OVER INVOLUTION RINGS, Proceedings of the American Mathematical Society, 121(2), 1994, pp. 391-397
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
121
Issue
2
Year of publication
1994
Pages
391 - 397
Database
ISI
SICI code
0002-9939(1994)121:2<391:KDOMOI>2.0.ZU;2-L
Abstract
The following question of Lanski is answered positively in the case wh en a ring R with involution is Noetherian with respect to two-sided -ideals. Let R be a ring with * and invertible 2, and let SBAR be the subring of R generated by the symmetric elements in R . Does any left R-module have the same Krull dimension when considered as an R-module and SBAR-module?