Journal of Algebra, Number Theory: Advances and Applications
INTEGRAL MATRICESAuthor's: Grigore Călugăreanu
Pages: [83] - [99]
Received Date: June 30, 2019; Revised July 27, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122079
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 
with unit u and nilpotent t. The
paper reveals the many facets of this notion for 
integral matrices.
uniquely fine, strongly fine, fine, quadratic Diophantine equation.
