English

Schemes of Associative Algebras

Algebraic Geometry 2024-10-24 v1

Abstract

We give a definition of associative schemes, schemes of associative rings, over a field k,k, using the definition of completion of an associative kk-algebra in a finite set of simple modules. We start by giving a weaker but sufficient definition of ordinary schemes of commutative rings which can be generalized to associative rings.

Keywords

Cite

@article{arxiv.2410.17703,
  title  = {Schemes of Associative Algebras},
  author = {Arvid Siqveland},
  journal= {arXiv preprint arXiv:2410.17703},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2410.16819, arXiv:2302.13843