About the second spectrum of a multiplication module

MARTA MALOID-GLEBOVA

 

Department of Algebra, Topology and Fundamental Mathematics
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv

May 25, 2021 at 15:00 online
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https://us04web.zoom.us/j/7398069872?pwd=dzV0TS9WcTIyMEZZYzlKVTdOWDZSUT09
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Abstract of talk

Let R be a associative ring and M an multiplicative R-module. Let Spec^{s}(M) be the the collection of all second submodules of M. In this talk, we consider a new topology on Spec^{s}(M), called the second classical Zariski topology, and investigate the interplay between the module theoretic properties of M and the topological properties of Spec^{s}(M). Moreover, we study Spec^{s}(M) from point of view of spectral space.