Compact and coprime packedness with respect to star operations

• Autores: A. Benobaid, Abdeslam Mimouni
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 4, 2011, págs. 1043-1061
• Idioma: inglés
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• Resumen

  • In this paper, we will study the notions of compactly and coprimely packed rings with respect to a star operation of finite type. We extend well-known results and investigate more properties of these notions in different settings such as Prufer-like settings, Noetherian-like settings and pullbacks. Particular attention is paid to the t-operation as the often usual star operation of finite type. Examples to illustrate the scopes and limits of the results are constructed