Maximality of noncommutative rings over orders
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Rodríguez Rodríguez, Camilo Andrés
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La teoría de órdenes ha sido ampliamente estudiada desde la última parte del siglo XX. En el contexto no conmutativo, la maximalidad de órdenes ha sido revisada para objetos clásicos de tipo polinomial como las extensiones de Ore y las extensiones PBW, entre otras, y más recientemente para anillos de Ore-Rees. En este trabajo extendemos algunos resultados encontrados en la literatura a las extensiones PBW torcidas.
Order theory has been widely studied since the last part of the 20th century. In the noncommutative context, maximality of orders has been reviewed for classical objects of polynomial type such as Ore extensions and PBW extensions, among others, and more recently for Ore-Rees rings. In this work we extend some results found in the literature to skew PBW extensions.
Order theory has been widely studied since the last part of the 20th century. In the noncommutative context, maximality of orders has been reviewed for classical objects of polynomial type such as Ore extensions and PBW extensions, among others, and more recently for Ore-Rees rings. In this work we extend some results found in the literature to skew PBW extensions.