Notes on delta-Koszul Algebras

作者：Lu Jia Feng^*

来源：Applied Categorical Structures, 2012, 20(2): 143-159.

DOI：10.1007/s10485-010-9224-1

• delta-Koszul algebras
• delta-Algebras
• delta-Koszul modules
• Minimal Horseshoe Lemma

This paper is a continuous work of d-Koszul algebras, which were first introduced by Green and Marcos in 2005 (see Green and Marcos, Commun Algebra 33(6): 1753-1764, 2005). Let K-delta(A) be the category of delta-Koszul modules. It is proved that K d(A) preserves kernels of epimorphisms if and only if the " minimal Horseshoe Lemma" (" MHL" for short) holds. Further, a special class of d-Koszul algebras named periodic delta-algebras are introduced, which have close connection with Koszul algebras and provide answers to the questions raised by Green and Marcos (Commun Algebra 33(6): 1753-1764, 2005). Finally, we construct new periodic delta-algebras from the given ones in terms of one-point extension and sum-extension.

• 出版日期2012-4
• 单位浙江师范大学