Abstract
<p>Let R be a commutative ring with identity and M a unitary R-module. The primary-like spectrum Spec<sub>L</sub>(M) is the collection of all primary-like submodules Q of M, the recent generalization of primary ideals, such that M/Q is a primeful R-module. In this article, we topologies Spec<sub>L</sub>(M) with the patch-like topology, and show that when, Spec<sub>L</sub>(M) with the patch-like topology is a quasi-compact, Hausdorff, totally disconnected space.</p>
Publisher
Universitat Politecnica de Valencia