Generalized invertibility in two semigroups of a ring. Patrício, P. & Puystjens, R. Linear Algebra and Its Applications, 377(1-3):125-139, 2004.
bibtex   
@article{Patricio2004,title = {Generalized invertibility in two semigroups of a ring},journal = {Linear Algebra and Its Applications},year = {2004},volume = {377},number = {1-3},pages = {125-139},author = {Patr{\'i}cio, P. and Puystjens, R.}}

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