Cyclic left and torsion-theoretic spectra of modules and their relations

Marta Maloid-Glebova


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.


strongly-prime ideal, strongly-prime module, cyclic spectrum, torsion-theoretic spectrum, localizations

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