On set-theoretic intersection in affine spaces
نویسندگان
چکیده
منابع مشابه
On Intersection Sets in Desarguesian Affine Spaces
Lower bounds on the size of t-fold blocking sets with respect to hyperplanes or t-intersection sets in AG(n, q) are obtained, some of which are sharp.
متن کاملSet - Theoretic Complete Intersection Monomial
In this paper we describe an algorithm for producing infinitely many examples of set-theoretic complete intersection monomial curves in P n+1 , starting with a single set-theoretic complete intersection monomial curve in P n. Moreover we investigate the numerical criteria to decide when these monomial curves can or cannot be obtained via semigroup gluing.
متن کاملSet Theoretic Complete Intersection for Curves in a Smooth Affine Algebra
Let A be a regular ring of dimension d ( d ≥ 3 ) containing an infinite field k. Let n be an integer such that 2n ≥ d+3. Let I be an ideal in A of height n and P be a projective Amodule of rank n. Suppose P ⊕A ≈ A and there is a surjection α: P → I. It is proved in this note that I is a set theoretic complete intersection ideal. As a consequence, a smooth curve in a smooth affine C-algebra with...
متن کاملSet-theoretic Problems Concerning Lindelöf Spaces
I survey problems concerning Lindelöf spaces which have partial settheoretic solutions. Lindelöf spaces, i.e. spaces in which every open cover has a countable subcover, are a familiar class of topological spaces. There is a significant number of (mainly classic) problems concerning Lindelöf spaces which are unsolved, but have partial set-theoretic solutions. For example, consistency is known bu...
متن کاملNew Classes of Set-theoretic Complete Intersection Monomial Ideals
Let ∆ be a simplicial complex and χ be an s-coloring of ∆. Biermann and Van Tuyl have introduced the simplicial complex ∆χ. As a corollary of Theorems 5 and 7 in their 2013 article, we obtain that the Stanley–Reisner ring of ∆χ over a field is Cohen–Macaulay. In this note, we generalize this corollary by proving that the Stanley–Reisner ideal of ∆χ over a field is set-theoretic complete interse...
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: Journal of Pure and Applied Algebra
سال: 1988
ISSN: 0022-4049
DOI: 10.1016/0022-4049(88)90066-7