2017arXiv (Cornell University)Open access

Some conditions under which certain types of modules possess\n localization property

Ismael Akray, Adil Jabbar, Reza Sazeedeh

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Abstract

By a localization property we mean a property that preserved under localizing\nmodules at multiplicative closed sets. The aim of this paper is to find\nconditions under which we can transfere a certain property of a given module to\nits localization at multiplicative closed sets and conversely, that means we\ndetermine those conditions which make a given property of a module as a\nlocalization property, so we give several conditions under which certain types\nof modules posses localization property.\n

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By a localization property we mean a property that preserved under localizing\nmodules at multiplicative closed sets. The aim of this paper is to find\nconditions under which we can transfere a certain property of a given module to\nits localization at multiplicative closed sets and conversely, that means we\ndetermine those conditions which make a given property of a module as a\nlocalization property, so we give several conditions under which certain types\nof modules posses localization property.\n

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Available abstract

By a localization property we mean a property that preserved under localizing\nmodules at multiplicative closed sets. The aim of this paper is to find\nconditions under which we can transfere a certain property of a given module to\nits localization at multiplicative closed sets and conversely, that means we\ndetermine those conditions which make a given property of a module as a\nlocalization property, so we give several conditions under which certain types\nof modules posses localization property.\n

Key concepts: Property (philosophy), Multiplicative function, Mathematics, Computer science, Topology (electrical circuits), Combinatorics, Mathematical analysis, Epistemology

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