×

zbMATH — the first resource for mathematics

Isomorphism theorems of hyperrings. (English) Zbl 1063.16053
Summary: The three isomorphism theorems of ring theory are derived in the context of hyperrings. Then a Jordan-Hölder theorem is derived for hyperrings. Finally, we consider the fundamental relation \(\gamma^*\) defined on a hyperring and prove some results and a fundamental theorem in this respect.

MSC:
16Y99 Generalizations
20N20 Hypergroups
PDF BibTeX XML Cite