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Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]

open access: yesProbab Theory Relat Fields
De Vecchi F   +3 more
europepmc   +1 more source

k-Decomposable Monomial Ideals

Algebra Colloquium, 2015
In this paper we introduce a class of monomial ideals, called k-decomposable ideals. It is shown that the class of k-decomposable ideals is contained in the class of monomial ideals with linear quotients, and when k is large enough, the class of k-decomposable ideals is equal to the class of ideals with linear quotients. In addition, it is shown that a
Rahmati-Asghar, Rahim, Yassemi, Siamak
openaire   +1 more source

Superficial ideals for monomial ideals

Journal of Algebra and Its Applications, 2018
Let [Formula: see text] and [Formula: see text] be two ideals in a commutative Noetherian ring [Formula: see text]. We say that [Formula: see text] is a superficial ideal for [Formula: see text] if the following conditions are satisfied: (i) [Formula: see text], where [Formula: see text] denotes a minimal set of generators of an ideal [Formula: see ...
Rajaee, Saeed   +2 more
openaire   +2 more sources

Monomial ideals

Journal of Mathematical Sciences, 2007
The author studies the numerical characteristics of monomial ideals in polynomial rings \(A=k[x_1,\ldots x_n]\) and in exterior algebras \(E\) on the same number of variables. In Chapter 2 of the paper, the author generalizes Macaulay's theorem to quotient rings. That is, the author gives conditions on and ideal \(I\) and on ideals \(J\) containing \(I\
openaire   +2 more sources

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