13F99 5 elementary divisor ring 5 neat ring 5 Bezout ring 4 clean ring 3 neat range one 3 stable range one 3 clear ring 2 06F20 1 13F15 1 19B10 1 Bezout duo-domain 1 Distributive domain 1 Hermite ring 1 Type AMS subject classification here 1 a Bezout domain 1 a co-adequate element 1 a ring of stable range 1 1 an adequate domain 1 an element of almost stable range 1 1 an elementary divisors ring 1 diagonal reduction of matrices 1 effective ring 1 elementary reduction of matrices 1 exchange ring 1 idempotent of stable range 1 1 pseudo-irreducible elemen 1 regular ring 1 rings of almost stable range 1 1 semihereditary ring 1