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American Institute of Mathematical Sciences (AIMS)
Regular local hyperrings and hyperdomains
<abstract><p>This paper falls in the area of hypercompositional algebra. In particular it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings $ R $ with a unique maximal hyperideal $ M $ having the dimension equal to the dimension of the vectorial hyperspace $ \frac{M}{M^2} $. The aim of the paper is to show that any regular local hyperring is a hyperdomain. For proving this, we make use of the relationship existing between...
Download 2022 Hashem Bordbar , Sanja Jančič-Rašovič , Irina Cristea
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