Abstract
Inspired by the concepts of projective and injective modules in classical algebraic structure theory, in this paper we initiate the study of the chains of hypermodules over a Krasner hyperring R, endowing first the set HomRn(M,N) of all normal homomorphisms between two R-hypermodules M and N with a structure of R-hypermodule. Then, our study focuses on the concepts of normal injectivity and projectivity of hypermodules over a Krasner hyperring R, characterizing them by the mean of chains of R-hypermodules.
Funder
Javna Agencija za Raziskovalno Dejavnost RS
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference19 articles.
1. Approximation des Corps Values Complets de Caracteristique p,p > 0, par Ceux de Caracteristique Zero;Krasner,1957
2. A class of hyperrings and hyperfields
3. Free and cyclic hypermodules
4. θ*-Relation on Hypermodules and Fundamental Modules Over Commutative Fundamental Rings
5. Transitivity of θ*-relation on hypermodules;Anvariyeh;Iran. J. Sci. Tech. Trans. A,2008
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