Injective Cogenerators for a Class of Gabriel Topologies Original Research Article

In this paper we give a class of Gabriel topologies which satisfy the following: Let R be a commutative ring. image a Gabriel topology of R, and C[M] an injective cogenerator for the Gabriel topology imageM of RM for all M set membership, variant maxspec R; then ΠM set membership, variant maxspec RC[M] is an injective cogenerator for the Gabriel topology image of R.Our work improves and develops the results of Brandal and Barbut (J. Algebra101(1986), 136-150).