Manuel Gerardo Zorrilla-Noriega, Manuel Gerardo Zorrilla Noriega, Rodrigo Domínguez López, Oscar Alberto Garrido Jiménez

On retractability and its relationships with lattices associated to a ring

The purpose of this work is threefold. First, we explore some relationships between retractability and some lattices of classes of modules. Secondly, we weaken the hypothesis of a result of Ohtake characterizing rings over which all radicals are left exact. In the last section of this work, we introduce a binary relation between modules that produce a Galois connection between the lattice of natural classes and the lattice of conatural classes, and we obtain some results about it.

Keywords:

left mod-retractable ring, parainjective module, paraprojective module, left semiartinian ring, left max ring left local ring, left duo ring, left V-ring, strongly left mod-retractable ring,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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