Abstract
The basis of this study, which was put forth in order to appropriate a special area in the hyperring theory, which has recently been studied as a generalization of the ring theory, which uses the module theory as an application field, is based on integrally closed Krasner hyperrings and (almost) integral dependence applications in krasner hyperrings.
Publisher
Erzincan Universitesi Fen Bilimleri Ensitusu Dergisi
Reference8 articles.
1. Ameri, R. (2003) “On Categories of hypergroups and hypermodules”, Journal of Discrete Mathematical Sciences, 6:2-3, 121-132.
2. Bordbar, H. and Cristea, I. (2017) “Height of Prime Hyperideals in Krasner Hyperrings”, Filomat, 31:19,6153-6163.
3. Corsini, P. (1993) “Prolegomena of Hypergroup Theory”, 2nd ed. Tricesimo Italy, Aviani editore Italy.
4. Davvaz, B. and Fotea, V.L. (2007) “Hyperring Theory and Applications”, Palm Harbor, FL, USA, International Academic Press.
5. Davvaz, B. and Salasi, A. (2006) “A realization of hyperrings”, Comm. Algebra, 34, 4389-4400.