Transitivity of the \(\varepsilon_{m}\)-relation on (\(m\)-idempotent) hyperrings

DOI10.1515/math-2018-0085zbMath1435.16013OpenAlexW2888945521MaRDI QIDQ1738194

Irina Cristea, Morteza Norouzi

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0085

zbMATH Keywords

hyperring\(m\)-complete part\(m\)-idempotent hyperring

Mathematics Subject Classification ID

Hyperrings (16Y20)

Related Items (4)

An introduction to topological hyperrings ⋮ On Lie algebras derived from Lie hyperalgebras ⋮ Fundamental relations on hyper bi-modules and characterizations of complete hyper bi-modules ⋮ A survey of selected categorical properties of algebras with multivalued addition

Cites Work

• Engel groups derived from hypergroups.
• Methods of constructing hyperfields
• Boolean rings obtained from hyperrings with \(\eta_{1,m}^{*}\) relations
• Fundamental relation on \(m\)-idempotent hyperrings
• Nilpotent groups derived from hypergroups.
• Groupoides, demi-hypergroupes et hypergroupes
• Solvable groups derived from hypergroups
• A NEW CHARACTERIZATION OF THE DERIVED HYPERGROUP VIA STRONGLY REGULAR EQUIVALENCES
• Commutative Rings Obtained from Hyperrings (H_v-rings) with α∗-Relations
• θ*-Relation on Hypermodules and Fundamental Modules Over Commutative Fundamental Rings
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