UNIQUELY FINE 2 X 2 INTEGRAL MATRICES

Grigore Călugăreanu · Journal of Algebra Number Theory Advances and Applications · 2019

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.

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