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- W749255551 abstract "In 1964 Golod and Shafarevich found that, provided that the number of relations of each degree satisfies some bounds, there exist infinitely dimensional algebras satisfying the relations. Such algebras have come to be referred to as Golod-Shafarevich algebras. This paper provides bounds for the growth function on images of Golod-Shafarevich algebras based upon the number of defining relations, thus extending results from [13], [14]. We also provide lower bounds of growth for constructed algebras, permitting the construction in many cases of algebras with a given growth function. Recently several open questions about algebras satisfying a prescribed number of defining relations have arisen as a consequence of the study of noncommutative singularities. This paper additionally solves one such question, posed by Donovan and Wemyss in [3]." @default.
- W749255551 created "2016-06-24" @default.
- W749255551 creator A5008941125 @default.
- W749255551 date "2013-07-07" @default.
- W749255551 modified "2023-09-27" @default.
- W749255551 title "Constructing graded algebras of limited growth satisfying prescribed relations" @default.
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