Strongly regular relations of arithmetic functions

DOI10.1016/j.jnt.2017.11.006zbMath1391.20037OpenAlexW2771293389MaRDI QIDQ1747237

Xianqiang Yang

Publication date: 4 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.11.006

zbMATH Keywords

fundamental grouparithmetic functionstrongly regular relationcomplete partfundamental ring

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Hypergroups (20N20) Generalizations (16Y99)

Related Items (3)

Unnamed Item ⋮ δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings ⋮ Extension of elliptic curves on Krasner hyperfields

Cites Work

• On the existence of hyperrings associated to arithmetic functions
• A note on ``New fundamental relation of hyperrings.
• Applications of the \(\alpha^*\)-relation to Krasner hyperrings.
• Groupoides, demi-hypergroupes et hypergroupes
• A NEW CHARACTERIZATION OF THE DERIVED HYPERGROUP VIA STRONGLY REGULAR EQUIVALENCES
• Polygroup Theory and Related Systems
• Relationship between Rings and Hyperrings by Using the Notion of Fundamental Relations
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