On some varieties of ai-semirings satisfying \(x^{p+1} \approx x\)

DOI10.1515/math-2018-0079zbMath1454.08008OpenAlexW2885170253MaRDI QIDQ1738170

Yong Shao, Aifa Wang

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-2018-0079

zbMATH Keywords

varietyidentityadditively idempotent semiringvarietal lattice

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Equational logic, Mal'tsev conditions (08B05) Semirings (16Y60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a variety of Burnside ai-semirings satisfying \(x^n\approx x\)
• On varieties of semilattice-ordered semigroups.
• The finite basis problem for endomorphism semirings of finite semilattices with zero.
• Idempotent semirings with a commutative additive reduct
• The varieties of semilattice-ordered semigroups satisfying \(x^3\equiv x\) and \(xy\equiv yx\)
• On the word problem for the free Burnside semigroups satisfying \(x^2=x^3\).
• On free semilattice-ordered semigroups satisfying \(x^{n}=x\)
• The lattice of ai-semiring varieties satisfying \(x^n \approx x\) and \(xy \approx yx\)
• On free Burnside ai-semirings.
• On the varieties of ai-semirings satisfying \({x^{3}\approx x}\)
• On Jordan mappings of inverse semirings
• Varieties generated by ordered bands. I.
• Varieties generated by ordered bands. II.
• The lattice of subvarieties of semilattice ordered algebras.
• Varieties of idempotent semirings with commutative addition.
• ON THE BURNSIDE SEMIGROUPS xⁿ = x^n+m
• Semigroups satisfying x m+n = x n