Geodesic
The Radical-Zariski topology on the radical spectrum of modules
Filomat, Tome 36 (2022) no. 9, p. 3037

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DOI

For a module M over a commutative ring R with identity, let RSpec(M) denote the collection of all submodules L of M such that √ (L : M) is a prime ideal of R and is equal to (rad L : M). In this article, we topologies RSpec(M) with a topology which enjoys analogs of many of the properties of the Zariski topology on the prime spectrum Spec(M) (as a subspace topology). We investigate this topological space from the point of view of spectral spaces by establishing interrelations between RSpec(M) and Spec(R/ Ann(M)).
DOI : 10.2298/FIL2209037M
Classification : 13C13, 13C99, 54B99
Keywords: Radical spectrum, Radical-Zariski topology, Zariski topology, spectral space 
Hosein Fazaeli Moghimi; Javad Bagheri Harehdashti. The Radical-Zariski topology on the radical spectrum of modules. Filomat, Tome 36 (2022) no. 9, p. 3037 . doi: 10.2298/FIL2209037M
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     title = {The {Radical-Zariski} topology on the radical spectrum of modules},
     journal = {Filomat},
     pages = {3037 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209037M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209037M/}
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