One-Point Extensions of t-Koszul Algebras
Source: Acta Mathematica Sinica, Volume 23, Number 6, June 2007 , pp. 965-972(8)
Abstract:We introduce the category of t-fold modules which is a full subcategory of graded modules over a graded algebra. We show that this subcategory and hence the subcategory of t-Koszul modules are both closed under extensions and cokernels of monomorphisms. We study the one-point extension algebras, and a necessary and sufficient condition for such an algebra to be t-Koszul is given. We also consider the conditions such that the category of t-Koszul modules and the category of quadratic modules coincide.
Document Type: Research Article
Publication date: 2007-06-01