On the notion of Krull super-dimension

A. Masuoka, A. N. Zubkov

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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 Kähler superdifferentials.

Original languageEnglish
Article number106245
JournalJournal of Pure and Applied Algebra
Volume224
Issue number5
DOIs
Publication statusPublished - May 2020

ASJC Scopus subject areas

  • Algebra and Number Theory

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