Geodesic
Cyclic left and torsion-theoretic spectra of modules and their relations
Algebra and discrete mathematics, Tome 20 (2015) no. 2, pp. 286-296

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In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural properties of this spectrum are investigated, in particular, its functoriality is proved.
Keywords: strongly-prime ideal, strongly-prime module, cyclic spectrum, torsion-theoretic spectrum, localizations. 
@article{ADM_2015_20_2_a6,
     author = {Marta Maloid-Glebova},
     title = {Cyclic left and torsion-theoretic spectra of modules and their relations},
     journal = {Algebra and discrete mathematics},
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     publisher = {mathdoc},
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     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2015_20_2_a6/}
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Marta Maloid-Glebova. Cyclic left and torsion-theoretic spectra of modules and their relations. Algebra and discrete mathematics, Tome 20 (2015) no. 2, pp. 286-296. http://geodesic.mathdoc.fr/item/ADM_2015_20_2_a6/