Skew inverse power series rings over a ring with projective socle

Title:

Skew inverse power series rings over a ring with projective socle

Creator:

Paykan, Kamal

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c630de9b-6719-4b6a-9519-3005a49a1a92
uuid:c630de9b-6719-4b6a-9519-3005a49a1a92
issn:0011-4642

Subject:

mathematics, flat socle ring, skew inverse power series ring, skew polynomial ring, annihilator, projective socle ring, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

A ring R is called a right PS-ring if its socle, Soc(RR), is projective. Nicholson and Watters have shown that if R is a right PS-ring, then so are the polynomial ring R[x] and power series ring R[[x]]. In this paper, it is proved that, under suitable conditions, if R has a (flat) projective socle, then so does the skew inverse power series ring R[[x−1; alfa, delta]] and the skew polynomial ring R[x; alfa, delta], where R is an associative ring equipped with an automorphism and an alfa-derivation delta. Our results extend and unify many existing results. Examples to illustrate and delimit the theory are provided., Kamal Paykan., and Seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

389-395

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:2

Harvested from:

CDK

Metadata only:

false