INJECTIVE MODULES OVER DOWN-UP ALGEBRAS

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Paula A A B Carvalho (Author) FCUP; Christian Lomp (Author) FCUP; Dilek Pusat Yilmaz (Author) Other

Journal

Title: Glasgow Mathematical Journal

Vol. 52A

Pages: 53-59

ISSN: 0017-0895

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 12 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-57Y

DOI: 10.1017/s0017089510000261

Abstract (EN): The purpose of this paper is to study finiteness conditions on injective hulls of simple modules over Noetherian down-up algebras. We will show that the Noetherian down-up algebras A(alpha, beta, gamma) which are fully bounded are precisely those which are module-finite over a central subalgebra. We show that injective hulls of simple A(alpha, beta, gamma)-modules are locally Artinian provided the roots of X(2) - alpha X - beta are distinct roots of unity or both equal to 1.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7