Open AccessOn the dual of Hilbert coefficients and width of the associated graded modules over Artinian modules
Author(s) -
Fatemeh Cheraghi,
Амир Мафи
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1911277c
Subject(s) - mathematics , dual (grammatical number) , commutative ring , pure mathematics , maximal ideal , artinian ring , ideal (ethics) , identity (music) , zero (linguistics) , discrete mathematics , commutative property , algebra over a field , noetherian , art , philosophy , linguistics , physics , literature , epistemology , acoustics
Let (A,m) be a commutative quasi-local ring with non-zero identity and let M be an Artinian co-Cohen-Macaulay R-module with NdimM = d. Let I ? m be an ideal of R with ?(0:M I) < ?. In this paper, for 0 ? i ? d, we study the dual of Hilbert coefficients ?i(I,M) of I relative to M. Also, we prove the dual of Huckaba-Marley?s inequality. Moreover, we obtain some consequences of this result.