Higher Level Orderings on Modules

Authors
Wu, Min Zeng, Guang Xing
Citation
Wu, Min et Zeng, Guang Xing, Higher Level Orderings on Modules, Acta mathematica Sinica. English series (Print) , 21(2), 2004, pp. 279-288
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
2
Year of publication
2004
Pages
279 - 288
Database
ACNP
SICI code
Abstract
The aim of this paper is to investigate higher level orderings on modules over commutative rings. On the basis of the theory of higher level orderings on fields and commutative rings, some results involving existence of higher level orderings are generalized to the category of modules over commutative rings. Moreover, a strict intersection theorem for higher level orderings on modules is established.