학술논문
G-quadratic, LG-quadratic, and Koszul quotients of exterior algebras.
Document Type
Article
Author
Source
Subject
Language
ISSN
0092-7872
Abstract
This paper introduces the study of LG-quadratic quotients of exterior algebras, showing that they are Koszul, as in the commutative case. We construct an example of an LG-quadratic algebra that is not G-quadratic and another example that is Koszul but not LG-quadratic. This is only the second known Koszul algebra that is not LG-quadratic and the first that is noncommutative. [ABSTRACT FROM AUTHOR]