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 due T. Schmitt and how it behaves with respect to the transition to the graded and bigraded super-modules 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.
| Original language | English |
|---|---|
| Pages (from-to) | 5387-5409 |
| Number of pages | 23 |
| Journal | Communications in Algebra |
| Volume | 50 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2022 |
Keywords
- Fiber of superscheme morphism
- Krull super-dimension
- super-commutative Noetherian super-ring
- supermodule
- superscheme of finite type
ASJC Scopus subject areas
- Algebra and Number Theory