An Example of Set-theoretic Complete Intersection Lattice Ideal
نویسندگان
چکیده
منابع مشابه
Set - 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 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 کاملSet-theoretic Properties of Schmidt’s Ideal
We study some set-theoretic properties of Schmidt’s σ-ideal on R, emphasizing its analogies and dissimilarities with both the classical σ-ideals on R of Lebesgue measure zero sets and of Baire first category sets. We highlight the strict analogy between Schmidt’s ideal on R and Mycielski’s ideal on 2N.
متن کامل4 Se p 20 07 PRODUCING SET - THEORETIC COMPLETE INTERSECTION MONOMIAL CURVES IN
In this paper we produce infinitely many examples of set-theoretic complete intersection monomial curves in P n+1 , starting with a set-theoretic complete intersection monomial curve in P n. In most of the cases our results cannot be obtained through semigroup gluing technique and we can tell apart explicitly which cases are new.
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 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: Tokyo Journal of Mathematics
سال: 2006
ISSN: 0387-3870
DOI: 10.3836/tjm/1170348170