Module properties of incidence rings

• Autores: Müge Kanuni
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 2, 2008, págs. 383-396
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this survey, we consider I(X,R) both as a module over itself and as an R-module and investigate the necessary and sufficient conditions for the incidence ring to be divisible, injective, principally injective, prime, and multiplication. Moreover, we study some results about prime, multiplication, dense and essential modules, and give results about dense submodules in prime and multiplication modules.