Let I be the defining ideal of a smooth irreducible complete intersection space curve C with defining equations of degrees a and b. We use the partial elimination ideals introduced by Mark Green to show that the lexicographic generic initial ideal of I has Castelnuovo-Mumford regularity 1+ ab(a− 1)(b− 1)/2 with the exception of the case a = b = 2, where the regularity is 4. Note that ab(a− 1)(b...

Suppose that R is an analytically irreducible or excellent local domain with maximal ideal m . We consider multiplicities and mixed of by filtrations -primary ideals. show the theorem Teissier, Rees Sharp, Katz, characterizing equality in Minkowski inequality for ideals, true divisorial filtrations, larger category bounded filtrations. This not arbitrary

Let a be an ideal of holomorphic functions vanishing only at the origin in C. The type of a is an invariant that measures the order of vanishing of the functions in a along holomorphic curves; this invariant is of importance in the study of subelliptic estimates and subelliptic multiplier ideal sheaves. Recently there has been some interest in the question of which curves actually compute the t...

Alexander duality has, in the past, made its way into commutative algebra through Stanley-Reisner rings of simplicial complexes. This has the disadvantage that one is limited to squarefree monomial ideals. The notion of Alexander duality is generalized here to arbitrary monomial ideals. It is shown how this duality is naturally expressed by Bass numbers, in their relations to the Betti numbers ...

In this paper we study irreducible representations of regular limit subalgebras of AF-algebras. The main result is twofold: every closed prime ideal of a limit of direct sums of nest algebras (NSAF) is primitive, and every prime regular limit algebra is primitive. A key step is that the quotient of a NSAF algebra by any closed ideal has an AF C*-envelope, and this algebra is exhibited as a quot...

The intent of this article is to study the concept of an   , k q  -intuitionistic fuzzy ideal and   , k q  -intuitionistic fuzzy soft ideal of subtraction algebras and to introduce some related properties. 2010 AMS Classification: 06F35, 03G25, 08A72.

Right ternary near-rings (RTNR) are generalization of their binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft Nsubgroups, quasi-ideals and bi-ideals over a right ternary near-ring N are defined. The substructures N-subgroups, quasi-ideals and bi-ideals of an RTNR are characterized in term...

Let [Formula: see text] be a weighted oriented graph and its edge ideal. We provide one method to find all the minimal generators of text], where is maximal strong vertex cover intersections irreducible ideals associated covers contained in text]. If an induced digraph under certain condition on we show that for some implies necessary sufficient equality ordinary symbolic powers ideal union two...

We compare L1 and L2 soft margin support vector machines from the standpoint of positive definiteness, the number of support vectors, and uniqueness and degeneracy of solutions. Since the Hessian matrix of L2 SVMs is positive definite, the number of support vectors for L2 SVMs is larger than or equal to the number of L1 SVMs. For L1 SVMs, if there are plural irreducible sets of support vectors,...

Molodtsov introduced the concept of soft sets. In this paper, we present the definition of soft N -groups and construct some basic properties by using N -groups and Molodtsov’s definition of soft sets. We introduce the notions of soft N -subgroups, soft N -ideal, N -idealistic soft N -groups and soft N -group homomorphisms. Moreover, the relations between N -idealistic soft N -groups and soft N...