1 citations · 3 across the 4 of their papers we have counts for
4 papers
Matrix invertible extensions over commutative rings. Part III: Hermite rings
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu
We reobtain and often refine prior criteria due to Kaplansky, McGovern, Roitman, Shchedryk, Wiegand, and Zabavsky--Bilavska and obtain new criteria for a Hermite ring to be an \tex…
Matrix invertible extensions over commutative rings. Part II: determinant liftability
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu
A unimodular matrix with entries in a commutative ring is called weakly determinant liftable if there exists a matrix congruent to modulo and…
Matrix invertible extensions over commutative rings. Part I: general theory
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu
A unimodular matrix with entries in a commutative is called extendable (resp.\ simply extendable) if it extends to an invertible matrix (resp.\ invertib…
On idempotent stable range one matrices
Grigore Calugareanu, Horia F. Pop
We characterize the idempotent stable range one matrices over commutative rings and in particular, the integral matrices with this property. Several special cases and e…