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ABSTRACT A ring R is said to have the finitely generated cancellation property provided that the module isomorphism R⊕B≅R⊕C implies B≅C for any finitely generated R-modules B and C. It… Click to show full abstract
ABSTRACT A ring R is said to have the finitely generated cancellation property provided that the module isomorphism R⊕B≅R⊕C implies B≅C for any finitely generated R-modules B and C. It is proved that R has this property is equivalent to the existence of the cancellation matrices over R. Moreover, the structure of such matrices is investigated and finite weakly stable rings are characterized in terms of their cancellation matrices.
Keywords:
cancellation property;
property;
cancellation;
property rings
Journal Title: Communications in Algebra
Year Published: 2018
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Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!