EMBEDDING GCD DOMAINS IN BEZOUT DOMAINS

Authors
SHAMASH J SMITH ST
Citation
J. Shamash et St. Smith, EMBEDDING GCD DOMAINS IN BEZOUT DOMAINS, Journal of the London Mathematical Society, 48, 1993, pp. 15-30
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal of the London Mathematical Society → ACNP
ISSN journal
00246107
Volume
48
Year of publication
1993
Part
1
Pages
15 - 30
Database
ISI
SICI code
0024-6107(1993)48:<15:EGDIBD>2.0.ZU;2-T
Abstract
We show that an arbitrary GCD domain can be embedded in a Bezout domai n without changing the set of units. This result continues to hold if we require the domains to be discretely ordered. We can thus construct Bezout domains which are models of open induction and in which the or der type of the set of positive infinite primes is arbitrary of cardin ality less-than-or-equal-to N1.