ON FINITE DIMENSIONAL ALGEBRAS WHICH ARE SUMS OF TWO SUBALGEBRAS

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).

Keywords

• Sum of rings,sum of algebras

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