POLYNOMIAL EXTENSIONS OF ATOMIC DOMAINS

Authors
ROITMAN M
Citation
M. Roitman, POLYNOMIAL EXTENSIONS OF ATOMIC DOMAINS, Journal of pure and applied algebra, 87(2), 1993, pp. 187-199
Citations number
3
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
87
Issue
2
Year of publication
1993
Pages
187 - 199
Database
ISI
SICI code
0022-4049(1993)87:2<187:PEOAD>2.0.ZU;2-W
Abstract
Among other results, we obtain here a normal atomic domain A such that A[X] is not atomic but any reducible element in A is a product of two irreducible elements (an atomic domain is a domain in which every non zero nonunit is a product of irreducible elements).