Let R be a local ring of essentially finite type over a field k of characteristic p > 0. We introduce the concept of p n -bases for an integer n > 0, and the notions of an n-admissible field for R/k and of a t -admissible field for R/k. For such a local ring R we give regularity criteria in terms of
Associated series and regular elements of noetherian rings
✍ Scribed by Alfred Goldie; Günter Krause
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 926 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we continue our investigation of generalized power series. The main theorem determines rings of generalized power series which are Von Neumann regular rings and semisimple rings. In the final section we give a new proof of Neumann's theorem on skewfields of generalized power series wit
R be a filtered ring such that the Rees ring R of R is left Noetherian. It is Ž . observed that if T is a left Ore set of the associated graded ring G R consisting of Ä Ž. 4 homogeneous elements then the saturated set S s s g R, s g T is a left Ore set of R. This lifting property is used to obtain l