ON FINITE DIMENSIONAL ALGEBRAS WHICH ARE SUMS OF TWO SUBALGEBRAS

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Kosan M. T., Zemlicka J.

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, vol.26, pp.131-144, 2019 (ESCI)

• Publication Type: Article / Article
• Volume: 26
• Publication Date: 2019
• Doi Number: 10.24330/ieja.587018
• Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.131-144
• Gazi University Affiliated: Yes

Abstract

In this paper, we give a general method of the construction of a 3-dimensional associative algebra R over an arbitrary field F that is a sum of two subalgebras R-1 and R-2 (i.e. R = R-1 + R-2).