KRULL DIMENSION OF MODULES OVER INVOLUTION RINGS .2.

Authors
BEIDAR KI PUCZYLOWSKI ER SMITH PF
Citation
Ki. Beidar et al., KRULL DIMENSION OF MODULES OVER INVOLUTION RINGS .2., Proceedings of the American Mathematical Society, 125(2), 1997, pp. 355-361
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
2
Year of publication
1997
Pages
355 - 361
Database
ISI
SICI code
0002-9939(1997)125:2<355:KDOMOI>2.0.ZU;2-M
Abstract
Let R be a ring with involution and invertible 2, and let (S) over bar be the subring of R generated by the symmetric elements in R. The fol lowing questions of Lanski are answered positively: (i) Must (S) over bar have Krull dimension when R does? (ii) Is every Artinian R-module Artinian as an <(S)over bar -module>?.