Attached primes of local cohomology modules with respect to a pair of ideals

Abstract

The paper shows an extension of the Lichtenbaum–Hartshorne Vanishing theorem for local cohomology modules with respect to a pair of ideals. We also study the attached primes of top local cohomology module [Formula: see text] where [Formula: see text] In the case, where [Formula: see text] we show that [Formula: see text]