English

Multipliers and weak multipliers of algebras

Rings and Algebras 2023-01-11 v1 Functional Analysis

Abstract

We study general properties of multipliers and weak multipliers of algebras. We apply the results to determine the (weak) multipliers of associative algebras and zeropotent algebras of dimension 3 over an algebraically closed field.

Keywords

Cite

@article{arxiv.2301.03735,
  title  = {Multipliers and weak multipliers of algebras},
  author = {Yuji Kobayashi and Sin-Ei Takahasi},
  journal= {arXiv preprint arXiv:2301.03735},
  year   = {2023}
}

Comments

Multipliers of algebras, in particular, multipliers of Banach algebras, have been discussed in analysis. In this paper we will discuss them in a purely algebraic manner