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A filtration of the Sally module and the First normal Hilbert Coefficient
Shreedevi K. Masuti, Kazuho Ozeki, Maria Evelina Rossi
The Sally module of an ideal is an important tool to interplay between Hilbert coefficients and the properties of the associated graded ring. In this paper we give new insights on…
The Structure of the Inverse System of Level -Algebras
Shreedevi K. Masuti, Laura Tozzo
Macaulay's inverse system is an effective method to construct Artinian K-algebras with additional properties like, Gorenstein, level, more generally with any socle type. Recently,…
On the finiteness of the set of Hilbert coefficients
Shreedevi K. Masuti, Kumari Saloni
Let be a Noetherian local ring of dimension and be -primary ideals in In this paper we study the finiteness properties of the sets $Λ_i^K(R):=\{g_i^K(Q):…
Artinian level algebras of socle degree 4
Shreedevi K. Masuti, Maria Evelina Rossi
In this paper we study the O-sequences of the local (or graded) -algebras of socle degree More precisely, we prove that an O-sequence , where $h_4…