Abstract
AbstractOver Prüfer domains, we characterize idempotent by nilpotent 2-products of $$2\times 2$$
2
×
2
matrices. Nilpotents are always such products. We also provide large classes of rings over which every $$2\times 2$$
2
×
2
idempotent matrix is such a product. Finally, for $$2\times 2$$
2
×
2
matrices over GCD domains, idempotent–nilpotent products which are also nilpotent–idempotent products are characterized.
Publisher
Springer Science and Business Media LLC
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