Some conditions under which certain types of modules possess localization property
Ismael Akray, Adil Jabbar, Reza Sazeedeh
Abstract
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Ismael Akray, Adil Jabbar, Reza Sazeedeh
Abstract
Open-access reader
By a localization property we mean a property that preserved under localizing modules at multiplicative closed sets. The aim of this paper is to find conditions under which we can transfere a certain property of a given module to its localization at multiplicative closed sets and conversely, that means we determine those conditions which make a given property of a module as a localization property, so we give several conditions under which certain types of modules posses localization property.
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By a localization property we mean a property that preserved under localizing modules at multiplicative closed sets. The aim of this paper is to find conditions under which we can transfere a certain property of a given module to its localization at multiplicative closed sets and conversely, that means we determine those conditions which make a given property of a module as a localization property, so we give several conditions under which certain types of modules posses localization property.
Key concepts: Property (philosophy), Multiplicative function, Mathematics, Computer science, Topology (electrical circuits), Pure mathematics, Mathematical analysis, Combinatorics