Geodesic
Isorings and related isostructures
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 2, pp. 437-452

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The main goal of this paper is to give a mathematical foundation, serious and consistent, to some parts of Santilli’s isotheory. We study the isotopic liftings of rings, subrings and ideals, and we also introduce the concept of quotient isoring. By using the isoproduct model, necessary conditions assuring the existence of such isostructures are given. Such conditions are based on the inner laws which originate the associated elements of isotopy. These elements will allow to extend, from a different point of view, the Santilli’s study of non-linear generalized theory. Several examples of these isostructures are also shown. We finally find the differences between a quotient isoring and a quotient ring coming from an isoring and one of its isoideals. 
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     title = {Isorings and related isostructures},
     journal = {Bollettino della Unione matematica italiana},
     pages = {437--452},
     publisher = {mathdoc},
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     number = {2},
     year = {2005},
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Falcón, Raúl M.; Núñez Valdés, Juan. Isorings and related isostructures. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 2, pp. 437-452. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_2_a10/