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- Title
Some Constructions of Bi-Koszul Algebras.
- Authors
Junru Si; Jiafeng Lü
- Abstract
Bi-Koszul algebras, including two classes of non-Koszul Artin-Schelter regular algebras of global dimension 4, were a class of graded algebras with non-pure resolutions, introduced in [8]. There is a natural question: can we construct bi-Koszul algebras from algebras with pure resolutions? In this paper, we study this question in terms of normal extensions and Ore extensions. More precisely, we attempt to obtain bi-Koszul algebras from algebras with pure resolutions by these two kinds of extensions. Furthermore, some homological properties of bi-Koszul algebras obtained in such ways are discussed.
- Subjects
ALGEBRA; DIMENSIONS; SET theory; HOMOLOGY theory; MATHEMATICAL analysis; NUMERICAL analysis
- Publication
Algebra Colloquium, 2013, Vol 20, Issue 1, p141
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386713000126