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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 matrix invertible extensions over commutative rings
Grigore Calugareanu, Horia F. Pop, Adrian Vasiu
We introduce the class E2 (resp. SE2) of commutative rings R with the property that each unimodular 2 x 2 matrix with entries in R extends to an invertible 3 x 3 matrix (resp. inve…
Nil-clean matrix rings
S. Breaz, G. Călugăreanu, P. Danchev +1
We characterize the nil clean matrix rings over fields. As a by product, it is proved that the full matrix rings with coefficients in commutative nil-clean rings are nil-clean, and…
Subgroups which admit extensions of homomorphisms
Simion Breaz, Grigore Călugăreanu, Phill Schultz
We classify by numerical invariants the finite subgroups of a primary abelian group for which every homomorphism or monomorphism of into , or every endomorphism of $…