Original Articles

ON THE SEMIPRIME IDEAL LATTICE OF A RIGHT INVARIANT RING

Published in: Quaestiones Mathematicae
Volume 14 , issue 3 , 1991 , pages: 255–260

DOI: 10.1080/16073606.1991.9631643

Author(s): J.G. Raftery Department of Mathematics and Applied Mathematics, Republic of South Africa , T. Sturm Department of Mathematics and Applied Mathematics, Republic of South Africa

Keywords: Primary: 16A15 , Secondary: 06B10 , 13F99 , 16A12 , 16A14

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Abstract

Let R be a right invariant ring and let S(R) be the lattice of all semiprime ideals of R. Let κ be an infinite cardinal. It is proved that S(R) is an algebraic lattice in which the κ-compact elements constitute a sublattice. It follows that S(R) is isomorphic to the congruence lattice of a lattice.

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