G-quadratic, LG-quadratic, and Koszul quotients of exterior algebras
نویسندگان
چکیده
This paper introduces the study of LG-quadratic quotients exterior algebras, showing that they are Koszul, as in commutative case. We construct an example algebra is not G-quadratic and another Koszul but LG-quadratic. only second known first noncommutative.
منابع مشابه
Notes on Koszul duality (for quadratic algebras)
3 Koszul duality 22 3.1 Quadratic algebras . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3.2 Dual coalgebra and algebra . . . . . . . . . . . . . . . . . . . . . 23 3.3 Some more examples . . . . . . . . . . . . . . . . . . . . . . . . . 28 3.3.1 The free algebra . . . . . . . . . . . . . . . . . . . . . . . 28 3.3.2 An example from Fröberg . . . . . . . . . . . . . . . . . . 28 3.3.3 ...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2022
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2022.2029875