The varieties of semilattice-ordered semigroups satisfying \(x^3\equiv x\) and \(xy\equiv yx\)

DOI10.1007/s10998-016-0116-5zbMath1399.20062OpenAlexW2460638772MaRDI QIDQ1677543

Xianzhong Zhao, Miaomiao Ren

Publication date: 10 November 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0116-5

zbMATH Keywords

latticevariety\(0\)-Groupsemilattice-ordered Burnside semiringsubdirectly irreducible member

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Equational logic, Mal'tsev conditions (08B05) Semirings (16Y60) Ordered semigroups and monoids (06F05)

Related Items (8)

On the varieties of ai-semirings satisfying \({x^{3}\approx x}\) ⋮ SEMIRING AND INVOLUTION IDENTITIES OF POWER GROUPS ⋮ On some varieties of ai-semirings satisfying \(x^{p+1} \approx x\) ⋮ The lattice of ai-semiring varieties satisfying \(x^n \approx x\) and \(xy \approx yx\) ⋮ THE VARIETY GENERATED BY AN AI-SEMIRING OF ORDER THREE ⋮ On a hereditarily finitely based ai-semiring variety ⋮ Nonfinitely based ai-semirings with finitely based semigroup reducts ⋮ Varieties of Burnside ai-semirings satisfying xn ≈ x

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