The main goal of the article is to give the definition of algebraic stability that would permit us to consider stability, not only for algebraic vector bundles or torsion-free coherent sheaves, but for the abelian category of coherent sheaves or for whatever abelian category. We present an axiomatic
On K1 of an Abelian Category
β Scribed by C. Sherman
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 432 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This note deals with a slight change of Sinnott's definition of circular units of an abelian field. The reason for this new definition giving a bigger group of units is as follows. Sinnott's formula for the index of circular units in the full group of units contains two factors which are difficult t
Assume that \(K\) is either a totally real or a totally imaginary number field. Let \(F\) be the maximal unramified elementary abelian 2-extension of \(K\) and \([F: K]=2^{n}\). The purpose of this paper is to describe a family of cubic cyclic extension of \(K\). We have constructed an unramified ab
## Abstract In this paper we study the category of hyper MVβalgebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MVβalgebra by a set. We use this to show that in the category of hyper MVβalgebras the monomorph