Title of article :
ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGS
Author/Authors :
Mousavi, Shahin Department of Pure Mathematics - Shahid Bahonar University of Kerman - Kerman, Iran , Jafarpour, Morteza Mathematics Department - Vali-e-Asr University of Rafsanjan - Rafsanjan, Iran , Babaei, Hojat Department of Mathematics - Islamic Azad University Kerman Branch - Kerman, Iran , Cristea, Irina Center for Information Technologies and Applied Mathematics - University of Nova Gorica - Slovenia
Abstract :
Abstract. In this paper rst, we introduce and analyze the strongly regular relations landa * e and landa *e on a hyperring such that the derived quo- tient ring is unitary and unitary commutative, respectively. Next, we dene and study the notion of landa e-parts in a hyperring and characterize the landa e-parts in a landa e-strong hyperring R. Finally, we introduce the notion of landa e-closed hyperideal in a hyperring and study some of its fundamental properties in Krasner hyperrings.
Keywords :
(Krasner) hyperring , strongly regular relation , landa e-closed hy- perideal.
Journal title :
Journal of Mahani Mathematical Research Center
