RINGS WITH A FINITE NUMBER OF ORBITS UNDER THE REGULAR ACTION

Title & Authors
RINGS WITH A FINITE NUMBER OF ORBITS UNDER THE REGULAR ACTION
Han, Juncheol; Park, Sangwon;

Abstract
Let R be a ring with identity, X(R) the set of all nonzero, non-units of R and G(R) the group of all units of R. We show that for a matrix ring $\small{M_n(D)}$, $\small{n{\geq}2}$, if a, b are singular matrices of the same rank, then \${\mid}o_{\ell}(a){\mid}
Keywords
left (right) regular action;orbit;left Artinian ring;
Language
English
Cited by
1.
UNIT-DUO RINGS AND RELATED GRAPHS OF ZERO DIVISORS,;;;

대한수학회보, 2016. vol.53. 6, pp.1629-1643
1.
UNIT-DUO RINGS AND RELATED GRAPHS OF ZERO DIVISORS, Bulletin of the Korean Mathematical Society, 2016, 53, 6, 1629
2.
Structure of Abelian rings, Frontiers of Mathematics in China, 2017, 12, 1, 117
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