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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… Click to show full 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.
Keywords:
quotients exterior;
exterior algebras;
quadratic koszul;
algebra quadratic;
quadratic quadratic
Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!