On the notion of Krull super-dimension
Rings and Algebras
2019-09-02 v2
Abstract
We introduce the notion of Krull super-dimension of a super-commutative super-ring. This notion is used to describe regular super-rings and calculate Krull super-dimensions of completions of super-rings. Moreover, we use this notion to introduce the notion of super-dimension of any irreducible superscheme of finite type. Finally, we describe nonsingular superschemes in terms of sheaves of K\"{a}hler superdifferentials.
Keywords
Cite
@article{arxiv.1905.08219,
title = {On the notion of Krull super-dimension},
author = {A. Masuoka and A. N. Zubkov},
journal= {arXiv preprint arXiv:1905.08219},
year = {2019}
}
Comments
30 pages