On the atomic property for power series rings

Authors
Citation
M. Roitman, On the atomic property for power series rings, J PURE APPL, 145(3), 2000, pp. 309-319
Citations number
3
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
145
Issue
3
Year of publication
2000
Pages
309 - 319
Database
ISI
SICI code
0022-4049(20000124)145:3<309:OTAPFP>2.0.ZU;2-L
Abstract
Let A be a commutative domain. We prove that both implications A atomic dou ble right arrow A[[X]] atomic, and A[[X]] atomic double right arrow A atomi c fail in general. (C) 2000 Elsevier Science B.V. All rights reserved.