A ring is called
In this paper, we develop the theory of the negative rings, with special emphasis on finding the clean matrices which have (or have not) clean negatives. Many explicit results are proved for 2 × 2 matrices and some hard to solve quadratic Diophantive equations are displayed.
MSC 2010
- Primary 16U99, 16U10, 15B33
- Secondary 15B36, 16-04, 15-04
Negative clean rings Periodic and Solitary Wave Solutions for the One-Dimensional Cubic Nonlinear Schrödinger Model Solving Single Nesting Problem Using a Genetic Algorithm Sombor index of zero-divisor graphs of commutative rings Central and local limit theorems for the weighted Delannoy numbers A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space Algebraic Heun Operators with Tetrahedral Monodromy Collectively Fixed Point Theory in the Compact and Coercive Cases A result of instability for two-temperatures Cosserat bodies Properties of n -ary hypergroups relevant for modelling trajectories in HD mapsLaplacian energy and first Zagreb index of Laplacian integral graphs Torsion subgroups of rational Mordell curves over some families of number fields Characterization of second type plane foliations using Newton polygons Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation Ellipses surrounding convex bodies