On the notion of Krull super-dimension

DOI10.1016/j.jpaa.2019.106245zbMath1444.16029arXiv1905.08219OpenAlexW2981098220WikidataQ127022234 ScholiaQ127022234MaRDI QIDQ2301896

Akira Masuoka, Alexandr N. Zubkov

Publication date: 25 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08219

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Supervarieties (14M30) Supermanifolds and graded manifolds (58A50) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (5)

On dimension theory of supermodules, super-rings, and superschemes ⋮ Group superschemes ⋮ The super Mumford form and Sato Grassmannian ⋮ Orbits of actions of group superschemes ⋮ Artin's theorems in supergeometry

Cites Work

• Solvability and nilpotency for algebraic supergroups
• Quotient sheaves of algebraic supergroups are superschemes
• Affine quotients of supergroups
• Regular sequences in \({\mathbb{Z}}_ 2\)-graded commutative algebra
• Some properties of Noetherian superschemes
• Mathematical foundations of supersymmetry
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