Results 31 to 40 of about 486,078 (247)
The multiplicity and the number of generators of an integrally closed ideal [PDF]
The Journal of Singularities, 2017 Let $(R, \mathfrak m)$ be a Noetherian local ring and $I$ a $\mathfrak m$-primary ideal. In this paper, we study an inequality involving the number of generators, the Loewy length and the multiplicity of $I$.
Hailong Dao, I. Smirnov
semanticscholar +1 more source
Prognostic indices for brain metastases – usefulness and challenges
Radiation Oncology, 2009 Background This review addresses the strengths and weaknesses of 6 different prognostic indices, published since the Radiation Therapy Oncology Group (RTOG) developed and validated the widely used 3-tiered prognostic index known as recursive partitioning
Nieder Carsten, Mehta Minesh P
doaj +1 more source
Equivariant Primary Decomposition and Toric Sheaves [PDF]
, 2010 We study global primary decompositions in the category of sheaves on a scheme which are equivariant under the action of an algebraic group. We show that equivariant primary decompositions exist if the group is connected.
Perling, Markus, Trautmann, Guenther
core +1 more source
On Graded Strongly $1$-Absorbing Primary Ideals
, 2021 Let $G$ be a group with identity $e$ and $R$ be a $G$-graded commutative ring with nonzero unity $1$. In this article, we introduce the concept of graded strongly $1$-absorbing primary ideals. A proper graded ideal $P$ of $R$ is said to be a graded strongly $1$-absorbing primary ideal of $R$ if whenever nonunit homogeneous elements $x, y, z\in R$ such ...
openaire +3 more sources
On the Hilbert coefficients, depth of associated graded rings and reduction numbers [PDF]
Journal of Commutative Algebra, 2017 Let $(R,\mathfrak{m})$ be a $d$-dimensional Cohen-Macaulay local ring, $I$ an $\mathfrak{m}$-primary ideal of $R$ and $J=(x_1,...,x_d)$ a minimal reduction of $I$. We show that if $J_{d-1}=(x_1,...,x_{d-1})$ and $\sum\limits_{n=1}^\infty\lambda{({I^{n+1}\
A. Mafi, Dler Naderi
semanticscholar +1 more source
Adolescent History Training Module
MedEdPORTAL, 2009 Introduction The resource is designed to familiarize medical students with the special needs and issues of the adolescent patient, including specific components of the adolescent expanded social history.
Anton Alerte +3 more
doaj +1 more source
The strong Rees property of powers of the maximal ideal and Takahashi–Dao's question [PDF]
Journal of Algebra, 2017 In this paper, we introduce the notion of the strong Rees property (SRP) for $\mathfrak{m}$-primary ideals of a Noetherian local ring and prove that any power of the maximal ideal $\mathfrak{m}$ has its property if the associated graded ring $G$ of ...
Tony J.Puthenpurakal +2 more
semanticscholar +1 more source
Some Results On Normal Homogeneous Ideals
, 2002 In this article we investigate when a homogeneous ideal in a graded ring is normal, that is, when all positive powers of the ideal are integrally closed.
Reid, Les +2 more
core +1 more source
The Multiplicative ideal theory of Leavitt Path Algebras [PDF]
, 2016 It is shown that every Leavitt path algebra L of an arbitrary directed graph E over a field K is an arithmetical ring, that is, the two-sided ideals of L form a distributive lattice.
K. Rangaswamy
semanticscholar +1 more source
On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length [PDF]
Journal of Commutative Algebra, 2015 Let $(R,\fm)$ be a Cohen-Macaulay local ring of positive dimension $d$ and infinite residue field. Let $I$ be an $\fm$-primary ideal of $R$ and $J$ be a minimal reduction of $I$. In this paper we show that if $\widetilde{I^k}=I^k$ and $J\cap I^n=JI^{n-1}$
A. Mafi
semanticscholar +1 more source