搜索结果: 1-15 共查到“数学 ideals”相关记录91条 . 查询时间(0.117 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Proper Basis for Zero-dimensional Polynomial Ideals
零维 多项式理想 正确基 Grobner基
2023/11/29
The Grobner basis for a zero-dimensional polynomial ideal comprises a univariate polynomial in the least variable. The elimination process in Buchberger's algorithm unnecessarily involves the least va...
On the Chern number of $I$-admissible filtrations of ideals
Chern number $I$-admissible filtrations of ideals Commutative Algebra
2012/5/24
Let $I$ be an $\m$-primary ideal of a Noetherian local ring $(R, \m)$ of positive dimension. The coefficient $e_1(\mathcal I)$ of the Hilbert polynomial of an $I$-admissible filtration $\mathcal I$ is...
Dense nuclear Frechet ideals in $C^\star$-algebras
Dense nuclear Frechet ideals Operator Algebras Functional Analysis
2012/5/9
We show that a $C^\star$-algebra $B$ contains a dense Fr\'echet two-sided ideal $A$ satisfying seminorm inequalities $\| a_1 a_2 \|_n \leq
\min \bigl\{\, \|a_1\|_n \|a_2\|_B,\, \|a_1\|_B \|a_2\|_n \...
Let K denote an algebraically closed field. We study the relation between an ideal I in K[x1,...,xn] and its cross sections I_a=I+. In particular, we study under what conditions I can be recover...
Let C be an irreducible projective curve of degree d in Pn(K), where K is an algebraically closed field, and let I be the associated homogeneous prime ideal. We wish to compute generators for I, assum...
Minimal primes of ideals arising from conditional independence statements
conditional independence statements Commutative Algebra
2011/9/22
Abstract: We consider ideals, arising in the context of conditional independence models, that generalize those considered by Fink [6] in a way distinct from the generalization of [11]. We describe the...
Lyubeznik numbers of monomial ideals
Lyubeznik numbers monomial ideals Commutative Algebra
2011/9/21
Abstract: We study Bass numbers of local cohomology modules supported on squarefree monomial ideals paying special attention to Lyubeznik numbers. We build a dictionary between local cohomology module...
Cohen-Macaulayness of generically complete intersection monomial ideals
Cohen-Macaulay generically complete intersection monomial ideals Commutative Algebra
2011/9/20
Abstract: In this paper we discuss the problem of characterizing the Cohen-Macaulay property of certain families of monomial ideals with fixed radical. More precisely, we consider generically complete...
Symbolic powers versus regular powers of ideals of general points in P^1 x P^1
symbolic powers multigraded points
2011/9/20
Abstract: Let I be a homogeneous ideal of R = k[x_0,...,x_n]. A current research theme is to compare the symbolic powers of I with the regular powers of I. In this paper, we investigate which ordinary...
Decompositions of commutative monoid congruences and binomial ideals
Decompositions of commutative monoid congruences binomial ideals Commutative Algebra
2011/9/19
Abstract: We demonstrate how primary decomposition of commutative monoid congruences fails to capture the essence of primary decomposition in commutative rings by exhibiting a more sensitive theory of...
Bipolar-Valued Fuzzy Ideals in LA-semigroups
LA-semigroups Bipolar-valued fuzzy LA-subsemigroups Bipolar-valued fuzzy left (right) ideals
2011/9/19
Abstract: In this paper, the notion of bipolar-valued fuzzy LA-subsemigroups is introduced and also some properties of bipolar-valued fuzzy left (right, bi-, interior) ideals of LA-semigroups has been...
Test ideals via a single alteration and discreteness and rationality of $F$-jumping numbers
test ideal alteration F-jumping number multiplier ideal
2011/9/15
Abstract: Suppose $(X, \Delta)$ is a log-$\bQ$-Gorenstein pair. Recent work of M. Blickle and the first two authors gives a uniform description of the multiplier ideal $\mJ(X;\Delta)$ (in characterist...
Stanley Conjecture on intersection of three monomial primary ideals
Monomial Ideals Stanley decompositions Stanley depth
2011/9/13
Abstract: We show that the Stanley's Conjecture holds for an intersection of three monomial primary ideals of a polynomial algebra S over a field.
Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings
Poisson Ideals Cluster Algebras the Spectra of Quantized Coordinate Rings Quantum Algebra
2011/9/6
Abstract: We describe the Poisson ideals and attached symplectic geometry of a cluster algebra with compatible Poisson structure. We apply these results to determine the spectrum of a quantum cluster ...
Depth and minimal number of generators of square free monomial ideals
Monomial Ideals Depth Stanley depth Commutative Algebra
2011/9/5
Abstract: Let $I$ be an ideal of a polynomial algebra $S$ over a field generated by square free monomials of degree $\geq d$. If $I$ contains more monomials of degree $d$ than $(d+1)/d$ of the total n...