منابع مشابه
Rough ideals based on ideal determined varieties
The paper is devoted to concern a relationship between rough set theory and universal algebra. Notions of lower and upper rough approximations on an algebraic structure induced by an ideal are introduced and some of their properties are studied. Also, notions of rough subalgebras and rough ideals with respect to an ideal of an algebraic structure, which is an extended notion of subalgebras and ...
متن کاملRationally smooth Schubert varieties, inversion hyperplane arrangements, and Peterson translation
We show that an element w of a finite Weyl group W is rationally smooth if and only if the hyperplane arrangement I(w) associated to the inversion set of w is inductively free, and the product (d1 +1) · · · (dl +1) of the coexponents d1, . . . , dl is equal to the size of the Bruhat interval [e, w]. We also use Peterson translation of coconvex sets to give a Shapiro-Steinberg-Kostant rule for t...
متن کاملTropical Varieties, Ideals and an Algebraic Nullstellensatz
The objective of this paper is to introduce the fundamental algebro-geometric constructions over the extended tropical semi-ring. The study of tropical varieties, co-varieties and ideals over this extension eventually yields the theorem of the weak tropical Nullstellensatz and gives an algebraic interpretation of the tropical Nullstellensatz.
متن کاملMultiplier Ideals and Modules on Toric Varieties
A formula computing the multiplier ideal of a monomial ideal on an arbitrary affine toric variety is given. Variants for the multiplier module and test ideals are also treated.
متن کاملOn the Ideals of Secant Varieties of Segre Varieties
We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors and solve the conjecture set-theoretically for an arbitrary number of factors. We determine the low degree components of the ideals of secant varieties of smal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transformation Groups
سال: 2012
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-012-9201-x