Open AccessClassification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ
Author(s) -
H. Ahmed,
Ural Bekbaev,
I. S. Rakhimov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1489/1/012002
Subject(s) - unital , algebraically closed field , mathematics , pure mathematics , unit (ring theory) , field (mathematics) , space (punctuation) , vector space , vector field , left and right , algebra over a field , geometry , computer science , mathematics education , engineering , structural engineering , operating system
In this paper we describe all left, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and ℝ. We tabulate the algebras and provide their unit elements.