UNIQUELY FINE 2 X 2 INTEGRAL MATRICES
English

Grigore Călugăreanu, Babeş-Bolyai University
2019 Journal of Algebra Number Theory Advances and Applications  
Fine elements were defined in [3] for unital rings, as sums of units by nilpotents. Such a sum is called uniquely fine if it is the only decomposition t u + with unit u and nilpotent t. The paper reveals the many facets of this notion for 2 2 × integral matrices.
doi:10.18642/jantaa_7100122079 fatcat:yemptmhwfna2jhry6irnkeey3m