TENSOR PRODUCT OF UU ALGEBRAS

Abstract

In this work, we recall some properties of tensor product of two algebras. Then, we study the so-called UU algebras. Our main result is to show that the tensor product of two UU algebras is again a UU algebra. We make the tensor over an algebraically closed field and explain why the result does not hold for a field which is not algebraically closed. We illustrate our result with examples and remarks.