The Dickson subcategory splitting conjecture for pseudocompact algebras

Miodrag Cristian Iovanov; Constantin Năstăsescu; Blass Torrecillas Jover

doi:10.1016/j.jalgebra.2008.04.014

Back

The Dickson subcategory splitting conjecture for pseudocompact algebras

Journal article

Open access

Peer reviewed

The Dickson subcategory splitting conjecture for pseudocompact algebras

Miodrag Cristian Iovanov, Constantin Năstăsescu and Blass Torrecillas Jover

Journal of algebra, Vol.320(5), pp.2144-2155

2008

DOI: 10.1016/j.jalgebra.2008.04.014

Files and links (1)

url

https://doi.org/10.1016/j.jalgebra.2008.04.014View

Published (Version of record) Open Access

Abstract

Let A be a pseudocompact (or profinite) algebra, so A = C ∗ where C is a coalgebra. We show that the if the semiartinian part (the “Dickson” part) of every A-module M splits off in M, then A is semiartinian, giving thus a positive answer in the case of algebras arising as dual of coalgebras (pseudocompact algebras), to a well known conjecture of Faith.

Splitting

Coalgebra

Semiartinian

Torsion theory

Dickson subcategory

Details

Title: Subtitle: The Dickson subcategory splitting conjecture for pseudocompact algebras
Creators: Miodrag Cristian Iovanov - University of Bucharest, Faculty of Mathematics, Str. Academiei 14, Bucharest 1, 010014, Romania
Constantin Năstăsescu - University of Bucharest, Faculty of Mathematics, Str. Academiei 14, Bucharest 1, 010014, Romania
Blass Torrecillas Jover - UAL, Almeria, Spain
Resource Type: Journal article
Publication Details: Journal of algebra, Vol.320(5), pp.2144-2155
DOI: 10.1016/j.jalgebra.2008.04.014
ISSN: 0021-8693
eISSN: 1090-266X
Publisher: Elsevier Inc
Language: English
Date published: 2008
Academic Unit: Mathematics
Record Identifier: 9983985942002771

Metrics

35 Record Views

3 Times Cited - Web of Science