Subdirectly irreducible algebras in one class of algebras with one operator and the main near-unanimity operation

DOI10.1134/S199508022101025XzbMath1498.08001OpenAlexW3133529579MaRDI QIDQ2656424

V. L. Usol'tsev

Publication date: 11 March 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022101025x

zbMATH Keywords

congruence latticesubdirectly irreducible algebraatomic latticealgebra with operatorsatom of congruence lattice

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05) Finitary algebras (08A62)

Cites Work

• Subdirectly irreducible commutative multiplicatively idempotent semirings
• Polynomial interpolation and the Chinese remainder theorem for algebraic systems
• On Ockham algebras: Congruence lattices and subdirectly irreducible algebras
• Simple and pseudosimple algebras with operators
• Simple and subdirectly irreducibles bounded distributive lattices with unary operators
• Few subpowers, congruence distributivity and near-unanimity terms
• Subdirect irreducibility and equational compactness in unary algebras \(\langle A; f\rangle\)
• Unars with ternary Mal'tsev operation
• АЛГЕБРЫ РИСА И КОНГРУЭНЦ-АЛГЕБРЫ РИСА В ОДНОМ КЛАССЕ АЛГЕБР С ОПЕРАТОРОМ И ОСНОВНОЙ ОПЕРАЦИЕЙ ПОЧТИ ЕДИНОГЛАСИЯ
• On the Congruence Lattices of Unary Algebras
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