On dimension theory of supermodules, super-rings and superschemes
Rings and Algebras
2021-05-25 v1 Algebraic Geometry
Abstract
We introduce the notion of Krull super-dimension of supermodules over certain super-commutative Noetherian super-rings. We investigate how this notion relates to the notion of odd regular sequence introduced by T.Schmitt and how it behaves with respect to the transition to the graded and bigraded supermodules and super-rings associated with the original ones. We also apply these results to the super-dimension theory of superschemes of finite type and their morphisms.
Keywords
Cite
@article{arxiv.2105.10769,
title = {On dimension theory of supermodules, super-rings and superschemes},
author = {A. N. Zubkov and P. S. Kolesnikov},
journal= {arXiv preprint arXiv:2105.10769},
year = {2021}
}