نتایج جستجو برای: maximal m ideal

تعداد نتایج: 695570  

2009
AMOL SASANE

H [n] = {(t1, . . . , tn) ∈ R n \ {0} | ∀j, [tj 6= 0 and t1 = t2 = · · · = tj−1 = 0] ⇒ tj > 0} ∪ {0}. LetM(H) denote the Banach algebra of all complex Borel measures with support contained in H, with the usual addition and scalar multiplication, and with convolution ∗, and the norm being the total variation of μ. It is shown that the maximal ideal space X(M(H)) of M(H), equipped with the Gelfan...

2009
Duong Quoc Viet DUONG QUOC VIET

Let A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J . Let F = {In}n≥0 be a good filtration of ideals in A. Denote by FJ (F) = ⊕ n≥0 (In/JIn)t n the fiber cone of F with respect to J. The paper characterizes the multiplicity and the CohenMacaulayness of FJ (F) in terms of minimal reductions of F .

2011
WINFRIED BRUNS MATTEO VARBARO

It is well-known that the Plücker relations generate the ideal of relations of the maximal minors of a generic m× n matrix. In this paper we discuss the relations of t-minors for t < min(m,n). We will exhibit minimal relations in degrees 2 (non-Plücker in general) and 3, and give some evidence for our conjecture that we have found the generating system of the ideal of relations. The approach is...

Journal: :Proceedings of the American Mathematical Society 1950

Journal: :Illinois Journal of Mathematics 2020

Journal: :Logic, epistemology, and the unity of science 2021

Abstract Krull’s Maximal Ideal Theorem (MIT) is one of the most prominent incarnations Axiom Choice (AC) in ring theory. For many a consequence AC, constructive counterparts are well within reach, provided attention turned to syntactical underpinning problem at hand. This viewpoints revised Hilbert Programme commutative algebra, which will here be carried out for MIT and several related classic...

2008
LINHONG WANG

Given an iterated skew polynomial ring C[y1; τ1, δ1] . . . [yn; τn, δn] over a complete local ring C with maximal ideal m, we prove, under suitable assumptions, that the completion at the ideal m+ 〈y1, y2, . . . , yn〉 is an iterated skew power series ring. When C is a field, this completion is a local, noetherian, Auslander regular domain with Krull, classical Krull and global dimension all equ...

Journal: :P-Adic Numbers, Ultrametric Analysis, and Applications 2010

Journal: :The São Paulo Journal of Mathematical Sciences 2022

We consider an homogeneous ideal I in the polynomial ring $$S=K[x_1,\dots ,$$ $$x_m]$$ over a finite field $$K={\mathbb {F}}_q$$ and set of projective rational points $${{\mathbb {X}}}$$ that it defines space {P}}}^{m-1}$$ . concern ourselves with problem computing vanishing $$I({{\mathbb {X}}})$$ This is usually done by adding equations {P}}}^{m-1})$$ to radical. give alternative more efficien...

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