For any group G and G-graded ring R with identity,We discuss the relations between graded Von Neumann regularity of graded R↑_-modules and von Neumann regularity of R-modus,Re-moduls and unital R#G^*;modules.Then we ...
Rings consided in this paper are commutative rings with identity. A ring R is said to be a MPI-ring if prime ideals of R are all maximal ideals. We show the properties and the constructure theorem of MPI-rings. and we...
In this note, we obtain a new method of proving a Cayley graph can whether or not be decomposed into Hamiltonian circuits and use this method, we prove that if a group G has some special properties, then Cayley graph ...