On the varieties generated by ai-semirings of order two.

DOI10.1007/s00233-014-9667-zzbMath1347.16052OpenAlexW1997962109MaRDI QIDQ896240

Yong Shao, Miaomiao Ren

Publication date: 9 December 2015

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-014-9667-z

zbMATH Keywords

lattices of varietiesbases of identitiesadditively idempotent semiringsvarieties of semiringshereditarily finitely based varieties

Mathematics Subject Classification ID

Lattices of varieties (08B15) Semirings (16Y60)

Related Items (10)

On the varieties of ai-semirings satisfying \({x^{3}\approx x}\) ⋮ The varieties of semilattice-ordered semigroups satisfying \(x^3\equiv x\) and \(xy\equiv yx\) ⋮ Some nil-ai-semiring varieties ⋮ Flat extensions of groups and limit varieties of additively idempotent semirings ⋮ On a variety of Burnside ai-semirings satisfying \(x^n\approx x\) ⋮ 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

Cites Work

• On varieties of semilattice-ordered semigroups.
• A class of inherently nonfinitely based semirings
• A remark on nonfinitely based semirings.
• The finite basis problem for endomorphism semirings of finite semilattices with zero.
• Minimal varieties of semirings
• Identities satisfied by a finite ring
• \(\mathcal L\)-subvarieties of the variety of idempotent semirings.
• Varieties of associative rings. I
• The lattice of idempotent distributive semiring varieties
• Congruence-simple semirings.
• Varieties generated by ordered bands. I.
• Varieties generated by ordered bands. II.
• Weak commutativity in idempotent semirings.
• Bases for equational theories of semi-groups
• Identical relations in finite groups
• A NONFINITELY BASED FINITE SEMIRING
• Equational Bases for Lattice Theories.
• Identities in Two-Valued Calculi
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the varieties generated by ai-semirings of order two.