共查询到20条相似文献,搜索用时 31 毫秒
1.
Takafumi Shibuta 《Journal of Algebraic Combinatorics》2012,36(1):1-19
We investigate Gr?bner bases of contraction ideals under monomial homomorphisms. As an application, we generalize the result of Aoki?CHibi?COhsugi?CTakemura and Ohsugi?CHibi for toric ideals of nested configurations. 相似文献
2.
Menachem Magidor 《Israel Journal of Mathematics》1980,35(1-2):109-134
We prove under the assumption of the existence of a measurable, cardinal and precipitous ideal onw
1
that every Σ
1
3
set is Lebesgue measurable, has the Baire property and is either countable or contians a perfect subset. We get similar results
for Σ
1
4
sets, if we add the additional assumptions of C. H. and that
carries a normal precipitous ideal. 相似文献
3.
In this article the notion of circular operator is extended to the Banach space setting. In particular, this property is considered for elementary operators of lengths one and two acting on minimal norm ideals of ?(?). Necessary and sufficient conditions for the circularity of generalized derivations and Lüders operators are also obtained. 相似文献
4.
Carmelo Antonio Finocchiaro 《代数通讯》2017,45(10):4521-4527
Using the general approach to invertibility for ideals in ring extensions given by Knebush and Zhang in [9], we investigate about connections between faithfully flatness and invertibility for ideals in rings with zero divisors. 相似文献
5.
Muhammad Naeem 《manuscripta mathematica》2008,127(4):533-545
We give a structure theorem for Cohen–Macaulay monomial ideals of codimension 2, and describe all possible relation matrices
of such ideals. In case that the ideal has a linear resolution, the relation matrices can be identified with the spanning
trees of a connected chordal graph with the property that each distinct pair of maximal cliques of the graph has at most one
vertex in common. 相似文献
6.
For ${b \in {^{\omega}}{\omega}}$ , let ${\mathfrak{c}^{\exists}_{b, 1}}$ be the minimal number of functions (or slaloms with width 1) to catch every functions below b in infinitely many positions. In this paper, by using the technique of forcing, we construct a generic model in which there are many coefficients ${\mathfrak{c}^{\exists}_{{b_\alpha}, 1}}$ with pairwise different values. In particular, under the assumption that a weakly inaccessible cardinal exists, we can construct a generic model in which there are continuum many coefficients ${\mathfrak{c}^{\exists}_{{b_\alpha}, 1}}$ with pairwise different values. In conjunction with these results, we give a generic model in which there are many Yorioka’s ideals ${\mathcal{I}_{f_\alpha}}$ with pairwise different covering numbers. 相似文献
7.
E. Decreux 《Archiv der Mathematik》2000,75(6):430-437
In this note, we examine the structure of closed ideals of a quasianalytic weighted Beurling algebra A\cal {A}. This algebra is contained in C¥ (G){\cal C}^\infty (\mit\Gamma) and contains the set A¥ (D)A^\infty (D). Like in a previous article (see [6]), we use division properties and we give a characterization of closed ideals I such that I?A¥ 1 { 0}I\cap A^\infty\! \ne \{ 0\} . Then, we use a factorization property proved in [2], which allows us to describe all the closed ideals of A\cal {A}. 相似文献
8.
PENG Jia-yin Key Laboratory of Numerical Simulation of Sichuan Province Neijiang China Dept.of Math. Neijiang Teachers College Neijiang China. 《高校应用数学学报(英文版)》2008,23(1):101-106
The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced, several appropriate examples are provided, and their some properties are investigated. The relations among fuzzy ideal, fuzzy H-ideal, fuzzy dot ideal and fuzzy dot H-ideals in BCH- algebras are discussed, several equivalent depictions of fuzzy dot ideal are obtained. How to deal with the homomorphic image and inverse image of fuzzy dot ideals (fuzzy dot H-ideals) are studied. The relations between a fuzzy dot ideal (fuzzy dot H-ideal) in BCH-algebras and a fuzzy dot ideal (fuzzy dot H-ideal) in the product algebra of BCH-algebras are given. 相似文献
9.
Daniel Campos Ryan Gunderson Susan Morey Chelsey Paulsen Thomas Polstra 《Journal of Pure and Applied Algebra》2014
Given a tree T on n vertices, there is an associated ideal I of R[x1,…,xn] generated by all paths of a fixed length ? of T . We classify all trees for which R/I is Cohen–Macaulay, and we show that an ideal I whose generators correspond to any collection of subtrees of T satisfies the König property. Since the edge ideal of a simplicial tree has this form, this generalizes a result of Faridi. Moreover, every square-free monomial ideal can be represented (non-uniquely) as a subtree ideal of a graph, so this construction provides a new combinatorial tool for studying square-free monomial ideals. 相似文献
10.
Positivity - Let $$\mathcal {E}$$ be a symmetrically $$\Delta $$ -normed ideal in B(H). For $$1\le p<\infty ,$$ $$q\ge 1,$$ we give a necessary and sufficient condition for $$\mathcal {E}$$... 相似文献
11.
12.
In this paper we primarily introduce an ideal version of τ -covers studied in [18, 19]. We establish the inter-relationships between ?-τ -covers and ?-γ, ?-large [3, 5] and κ-covers[2, 7]. We also make some investigations involving the splittability and preservation properties. Our results extend the earlier results proved in [18, 19, 2, 7] and present a more general version with respect to ideals. 相似文献
13.
《复变函数与椭圆型方程》2012,57(13):1011-1023
Gorkin and Mortini introduced the concept of k-hulls, k(x), of points x in M(H ∞)????D, and studied the ideal structures of H ∞ and H ∞ +C. They posed a problem for which x∈ M(H ∞)????D the set I(k(x)) is a closed prime ideal. In this article, we give a partial answer for sparse points x. 相似文献
14.
In this paper, we study the primitive ideals of quantum algebras supporting a rational torus action. We first prove a quantum
analogue of a Theorem of Dixmier; namely, we show that the Gelfand-Kirillov dimension of primitive factors of various quantum
algebras is always even. Next we give a combinatorial criterion for a prime ideal that is invariant under the torus action
to be primitive. We use this criterion to obtain a formula for the number of primitive ideals in the algebra of 2×n quantum matrices that are invariant under the action of the torus. Roughly speaking, this can be thought of as giving an
enumeration of the points that are invariant under the induced action of the torus in the “variety of 2×n quantum matrices”.
The first author thanks NSERC for its generous support.
This research was supported by a Marie Curie Intra-European Fellowship within the 6th European Community Framework Programme
held at the University of Edinburgh, by a Marie Curie European Reintegration Grant within the 7th European Community Framework
Programme and by Leverhulme Research Interchange Grant F/00158/X. 相似文献
15.
16.
Donna M. Carr Jean -Pierre Levinski Donald H. Pelletier 《Archive for Mathematical Logic》1990,30(1):59-72
For every uncountable regular cardinal and any cardinal,P
denotes the set
. Furthermore, < denotes=" the=" binary=" operation=" defined=">P
byx<> iffxy¦x<>.By anideal over
P
we mean a proper, non-principal,-complete ideal overP
extending the ideal dual to the filter generated by
. For any idealI overP
,I
+ denotes the setP
–I, andI
* the filter dual toI. 相似文献
17.
The notion of weakly relatively prime and W-Gröbner basis in K[x 1, x 2, …, x n ] are given. The following results are obtained: for polynomials f 1, f 2, …, f m , \(\{ f_1^{\lambda _1 } ,f_2^{\lambda _2 } ,...,f_m^{\lambda _m } \} \) is a Gröbner basis if and only if f 1, f 2, …, f m are pairwise weakly relatively prime with λ 1, λ 2, …, λ m arbitrary non-negative integers; polynomial composition by Θ = (θ 1, θ 2, …, θ n ) commutes with monomial-Gröbner bases computation if and only if θ 1, θ 2, …, θ m are pairwise weakly relatively prime. 相似文献
18.
V. Grandjean 《manuscripta mathematica》2000,103(3):313-328
In this paper we propose to develop a theory of finite determinacy and unfolding in the spirit of Thom–Mather theory for
C
∞ function germs in a finitely generated and closed ideal with three additionnal properties. It may be used as the beginning
of a more systematic study of non isolated real singularities.
Received: 26 January 2000 / Revised version: 30 June 2000 相似文献
19.
S. M. Gusein-Zade F. Delgado A. Campillo 《Functional Analysis and Its Applications》2011,45(4):271-277
Earlier the authors considered and, in some cases, computed Poincaré series for two sorts of multi-index filtrations on the
ring of germs of functions on a complex (normal) surface singularity (in particular, on the complex plane). A filtration of
the first class was defined by a curve (with several branches) on the surface singularity. A filtration of the second class
(called divisorial) was defined by a set of components of the exceptional divisor of a modification of the surface singularity.
Here we define and compute in some cases the Poincaré series corresponding to a set of ideals in the ring of germs of functions
on a surface singularity. For the complex plane, this notion unites the two classes of filtrations described above. 相似文献