Some results on Greens relations in direct sum and product of rings
Florion Cela · 2018
Green’s relations in a semigroup are successful tools for studying their properties. These relations are introduced and studied also in rings. It is wellknown that every ring can be represented as a sub-direct sum of subdirectly irreducible rings. Our aim in this paper is to find the connection of Green’s relations on direct sum and direct product of rings related to Green’s relations in its components.