THEORIES OF RINGS WITH DIVISIBILITY

Authors
REINEKE J
Citation
J. Reineke, THEORIES OF RINGS WITH DIVISIBILITY, Communications in algebra, 25(2), 1997, pp. 649-660
Citations number
4
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
25
Issue
2
Year of publication
1997
Pages
649 - 660
Database
ISI
SICI code
0092-7872(1997)25:2<649:TORWD>2.0.ZU;2-E
Abstract
We consider several different theories of commutative rings with a new predicate symbol \ together with the additional axiom a \ b double le ft right arrow There Exists c (a . c = b) and show that none of these has a model companion.