Geodesic
TENSOR PRODUCTS OF CLEAN RINGS
Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 501-503

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DOI

A ring is called clean if every element is the sum of an idempotent and a unit. It is an open question whether 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.
DOI : 10.1017/S0017089505002739
Mots-clés : 13A99, 13F99 
TOUSI, MASSOUD; YASSEMI, SIAMAK. TENSOR PRODUCTS OF CLEAN RINGS. Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 501-503. doi: 10.1017/S0017089505002739
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     title = {TENSOR {PRODUCTS} {OF} {CLEAN} {RINGS}},
     journal = {Glasgow mathematical journal},
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     year = {2005},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002739/}
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