The behaviour of the inverse operations in the class of preradicals in special cases
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Keywords

Ring, module, category, lattice, (pre)radical.

How to Cite

Jardan, I. (2021). The behaviour of the inverse operations in the class of preradicals in special cases. Acta Et Commentationes Exact and Natural Sciences, 10(2), 68-74. https://doi.org/10.36120/2587-3644.v10i2.68-74

Abstract

In [4], [5], [6] four new operations are introduced and studied in the class of preradicals PR of the category R-Mod of left R-modules, and is shown the behaviour of these operations in the case of some special types of preradicals as prime, coprime, ∧-prime, ∨-coprime, irreducible and coirreducible. In this work we will present the behaviour of inverse operations in the case of semiprime and semicoprime preradicals.

https://doi.org/10.36120/2587-3644.v10i2.68-74
pdf (Русский)
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