Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Shreedevi K. Masuti"'
In singularity theory or algebraic geometry, it is natural to investigate possible Hilbert functions for special algebras $A$ such as local complete intersections or more generally Gorenstein algebras. The sequences that occur as {the} Hilbert functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f6529b9b2da188b285235e88044cdd7
Autor:
Clare D'Cruz, Shreedevi K. Masuti
Publikováno v:
Communications in Algebra. 48:1163-1190
Let d≥2 and m≥1 be integers such that gcd(d,m)=1. Let p be the defining ideal of the monomial curve in Akd parametrized by (un1,…,und) where ni=d+(i−1)m for all i=1,…,d. In this paper, we describe ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d58022355e699d7d79a2fd6e7d41ac40
https://doi.org/10.1080/00927872.2019.1677692
https://doi.org/10.1080/00927872.2019.1677692
Publikováno v:
Moncusi, L B I & Masuti, S K 2021, ' The Waring rank of binary binomial forms ', Pacific Journal of Mathematics, vol. 313, no. 2, pp. 327-342 . https://doi.org/10.2140/pjm.2021.313.327
We give an explicit formula for the Waring rank of every binary binomial form with complex coefficients. We give several examples to illustrate this, and compare the Waring rank and the real Waring rank for binary binomial forms.
15 pages. Subst
15 pages. Subst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fd9166d4a594d8c96edcc8578099bbd
http://arxiv.org/abs/2106.15658
http://arxiv.org/abs/2106.15658
Publikováno v:
Journal of Algebra. 507:525-546
In this paper we study the O-sequences of the local (or graded) $K$-algebras of socle degree $4.$ More precisely, we prove that an O-sequence $h=(1, 3, h_2, h_3, h_4)$, where $h_4 \geq 2,$ is the $h$-vector of a local level $K$-algebra if and only if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbbc860a8a59a6345760b88832dd9404
https://doi.org/10.1016/j.jalgebra.2018.03.043
https://doi.org/10.1016/j.jalgebra.2018.03.043
Autor:
Shreedevi K. Masuti, Laura Tozzo
Publikováno v:
Collectanea Mathematica. 69:451-477
Macaulay’s inverse system is an effective method to construct Artinian K-algebras with the additional properties of being, for example, Gorenstein, level, or having any specific socle type. Recently, Elias and Rossi (Adv Math 314:306–327, 2017) g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aaaac697594f400d6fcfa428dfaf0941
https://doi.org/10.1007/s13348-018-0212-3
https://doi.org/10.1007/s13348-018-0212-3
The Hilbert coefficients of the normal filtration give important geometric information on the base ring like the pseudo-rationality. The Sally module was introduced by W.V. Vasconcelos and it is useful to connect the Hilbert coefficients to the homol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d4029f2c6a1343b6fe44500aaaeaba1
http://hdl.handle.net/11567/1019835
http://hdl.handle.net/11567/1019835
Publikováno v:
Journal of Algebra. 444:527-566
Hilbert functions and Hilbert polynomials of Z s -graded admissible filtrations of ideals { F ( n _ ) } n _ ∈ Z s such that λ ( R F ( n _ ) ) is finite for all n _ ∈ Z s are studied. Conditions are provided for the Hilbert function H F ( n _ ) :
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23375bd7a618dabb7c708777492c7480
https://doi.org/10.1016/j.jalgebra.2015.07.032
https://doi.org/10.1016/j.jalgebra.2015.07.032
Autor:
Shreedevi K. Masuti, Kumari Saloni
Publikováno v:
J. Commut. Algebra 11, no. 4 (2019), 573-604
Let $(R,\mathfrak m)$ be a Noetherian local ring of dimension $d$ and $K,Q$ be $\mathfrak m$-primary ideals in $R$. In this paper we study the finiteness properties of the sets $\Lambda _i^K(R):=\{g_i^K(Q): Q\mbox { is a parameter ideal of }R\}$, whe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f5c6cd5b44ad05eb0682cd78ec447aa
http://arxiv.org/abs/1702.07913
http://arxiv.org/abs/1702.07913
Publikováno v:
Algebra and its Applications ISBN: 9789811016509
In this expository paper, we present proofs of Grothendieck–Serre formula for multi-graded algebras and Rees algebras for admissible multi-graded filtrations. As applications, we derive formulas of Sally for postulation number of admissible filtrat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a904b292390ad79daff8631bd40e8b09
https://doi.org/10.1007/978-981-10-1651-6_8
https://doi.org/10.1007/978-981-10-1651-6_8
Autor:
Manoj Kummini, Shreedevi K. Masuti
Let $(R, \mathfrak{m}, \Bbbk)$ be a Noetherian three-dimensional Cohen-Macaulay analytically unramified ring and $I$ an $\mathfrak{m}$-primary $R$-ideal. Write $X = \mathrm{Proj}\left(\oplus_{n \in \mathbb{N}} \overline{I^n}t^n\right)$. We prove some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03b5e0ed3da4c680ee6d9827e1714cfe
http://arxiv.org/abs/1507.03343
http://arxiv.org/abs/1507.03343