The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of APPLIED MATHEMATICS AND INFORMATICS
Transactions ID Number: 20-255
Full Name: Michael Voskoglou
Position: Professor
Age: ON
Sex: Male
Address: Ag. Saranda 6-8, 262 22 Patras
Country: GREECE
Tel: 00306978600391
Tel prefix:
Fax: 00302610328631
E-mail address: mvosk@hol.gr
Other E-mails: voskoglou@teipat.gr
Title of the Paper: Derivations and Iterated Skew Polynomial Rings
Authors as they appear in the Paper: Michael Gr. Voskoglou
Email addresses of all the authors: mvosk@hol.gr
Number of paper pages: 9
Abstract: Two are the objectives of the present paper. First we study properties of a differentially simple commutative ring R with respect to a set D of derivations of R. Among the others we investigate the relation between the D-simplicity of R and that of the local ring RP with respect to a prime ideal P of R and we prove a criterion about the D- simplicity of R in case where R is a 1-dimensional (Krull dimension) finitely generated algebra over a field of characteristic zero and D is a singleton set. The above criterion was quoted without proof in an earlier paper of the author. Second we construct a special class of iterated skew polynomial rings defined with respect to finite sets of derivations of a ring R (not necessarily commutative) commuting to each other. The important thing in this class is that, if R is a commutative ring, then its differential simplicity is the necessary and sufficient condition for the simplicity of the corresponding skew polynomial ring.
Keywords: Derivations, Differentially simple rings, Finitely-generated algebras, Iterated skew polynomial rings, Simple rings.
EXTENSION of the file: .rtf
Special (Invited) Session: A Note on Derivations of Commutative Rings
Organizer of the Session: 657-186
How Did you learn about congress:
IP ADDRESS: 89.210.226.217
