Anillos separables, de baer y pp-anillos

Keimel introduced the notion of proyectability in the class of lattice-ordered ringsand f-rings in [5]. Here we introduce a similar notion forgeting the lattice and orderedstructure of the ring and interpretating the orthogonality within the multiplicativestructure (in the class of reduced rings). T...

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Autor Principal: Guier, Jorge I.
Formato: Artículo
Idioma: Español
Publicado: 2015
Acceso en línea: http://revistas.ucr.ac.cr/index.php/matematica/article/view/271
http://hdl.handle.net/10669/12919
Sumario: Keimel introduced the notion of proyectability in the class of lattice-ordered ringsand f-rings in [5]. Here we introduce a similar notion forgeting the lattice and orderedstructure of the ring and interpretating the orthogonality within the multiplicativestructure (in the class of reduced rings). This notion turns out to be equivalent to theone defining the class of PP-rings and it is related to the compactness of the space ofthe minimal primes ideals and to the class of weak Baer rings.Keywords: Boolean products, elementary class, continuous sections, Baer rings, PPrings,minimal prime ideales.