A new topology over the primary-like spectrum of a module





primary-like submodule, Zariski topology, patch-like topology


Let R be a commutative ring with identity and M a unitary R-module. The primary-like spectrum SpecL(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 SpecL(M) with the patch-like topology, and show that when, SpecL(M) with the patch-like topology is a quasi-compact, Hausdorff, totally disconnected space.


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Author Biography

Fatemeh Rashedi, ‎Velayat University

Department of‎ ‎Mathematics‎


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How to Cite

F. Rashedi, “A new topology over the primary-like spectrum of a module”, Appl. Gen. Topol., vol. 22, no. 2, pp. 251–257, Oct. 2021.