“School of Mathematics”
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| Paper IPM / M / 8026 | ||||||||||||||||||||||
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A ring is called clean if every element is the sum of an
idempotent and a unit. It is an open question wether the tensor
products of two clean algebras over a field is clean. In this note
we study the tensor product of clean algebras over a field and we
provide some examples to show that the tensor product of two clean
algebras over a field need not be clean.
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