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- W3203761715 abstract "Let (R, $$mathfrak{m}$$ ) be a standard graded K-algebra over a field K. Then R can be written as S/I, where I ⊆ (x1,…, xn)2 is a graded ideal of a polynomial ring S = K[x1,…, xn]. Assume that n ⩽ 3 and I is a strongly stable monomial ideal. We study the symmetric algebra SymR(Syz1( $$mathfrak{m}$$ )) of the first syzygy module Syz1( $$mathfrak{m}$$ ) of $$mathfrak{m}$$ . When the minimal generators of I are all of degree 2, the dimension of SymR (Syz1( $$mathfrak{m}$$ )) is calculated and a lower bound for its depth is obtained. Under suitable conditions, this lower bound is reached." @default.
- W3203761715 created "2021-10-11" @default.
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- W3203761715 date "2021-10-05" @default.
- W3203761715 modified "2023-10-18" @default.
- W3203761715 title "On the symmetric algebra of certain first syzygy modules" @default.
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- W3203761715 doi "https://doi.org/10.21136/cmj.2021.0508-20" @default.
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