This is my PhD thesis from 2004 under Prof. S.M. Bhatwadekar. Here we answera question of Nori and prove the following result. Let $A$ be a smooth affinedomain of dimension $d$ over an infinite perfect field. Let $I$ be an ideal of$A[T]$ of height $n$ such that $2n \\geq...
Broadly speaking the aim is to estimate c(I) for ideals where the conormal module, I/I 2 , is sufficiently well known. An extreme case of this formulation is the following conjecture: Let I be an ideal of the regular local ring R. If I/I 2 has finite projective dimension over R/I...
In summary, the conversation discusses the question of whether the function that sends an ideal I' of R' to the ideal I' ∩ R of R is surjective from the set of ideals of R' to the set of ideals of R. A counterexample is given for the case of an integrally closed integral domain...
Positivity of mixed multiplicities This paper studies mixed multiplicities of an arbitrary standard bigraded algebra and mixed multiplicities of two ideals I, J in a local ring (A,m), where ... Ng Viêt Trung - 《Mathematische Annalen》 被引量: 64发表: 2001年 Factor analysis of dynamic funct...
It is shown that in a ringR satisfying a polynomial identity and the ascending chain condition on ideals,J k =0 for some appropriatek. This is a preview of subscription content, log in via an institution to check access. We’re sorry, something doesn't seem to be working properly. ...
Applications of soft union sets to hemirings via SU-h-ideals Soft Intersection-Union ProductSoft SetSoft Union H-IdealSoft Union HemiringThe aim of this article is to lay a foundation for providing a soft algebraic... J Zhan,N Çağman,AS Sezer - 《Journal of Intelligent & Fuzzy Systems...
there was always a place for those who experience reality differently. This notion that an individual can lift themselves up by their emotional bootstraps, even if under the onslaught of modernity the stress of being productive, of consuming, of being isolated is indeed from a neoliberal mindset...
A note on Dubreil's theorems on the number of generators of perfect ideals of codimension 2 Migliore extended Dubreil’s Theorem to X a locally Cohen-Macaulay scheme, see [7, Theorem 2.5]. One of the main points of the present paper is an... P Schenzel 被引量: 2发表: 1984年 ...
One distinction I learned in my years as a philosophy undergrad was that between ideal and non-ideal theory. Ideal theory is the stuff that constructs an ideal model of human behavior or takes a really idealistic view of the establishment of certain institutions. John Locke’s theories on the...
- 1990 () Citation Context ...of an ideal to various residual intersections. This result also has applications to the theory of residual intersections and sheds new light on some known classes of free resolutions for such ideals (=-=[BKM]-=-, [BE], [KU1]) (Proposition 3.7, Corollary ...