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OP-10098AlgebraStatus unassessed

Inherently non-finitely based semigroups

A question from Journal of Algebra (2023). Problem 5.22; inspected PDF p. 34.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-10097AlgebraStatus unassessed

Identity bases for seven-element semigroups

A question from Journal of Algebra (2023). Problem 5.16; inspected PDF p. 33.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-10096AlgebraStatus unassessed

Infinite irredundant identity bases

A question from Journal of Algebra (2023). Problem 5.14; inspected PDF p. 33.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-10095AlgebraStatus unassessed

Classifying finite universality

A question from Journal of Algebra (2023). Problem 5.12; inspected PDF p. 32.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-10094AlgebraStatus unassessed

Finitely universal joins of small varieties

A question from Journal of Algebra (2023). Problem 5.10; inspected PDF p. 32.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-10093AlgebraStatus unassessed

Large lattices without finite universality

A question from Journal of Algebra (2023). Problem 5.9; inspected PDF p. 32.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-10092AlgebraStatus unassessed

Small varieties with large covers

A question from Journal of Algebra (2023). Problem 5.4; inspected PDF p. 30.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-10091AlgebraStatus unassessed

Small finitely generated varieties

A question from Journal of Algebra (2023). Problem 5.1; inspected PDF p. 29.

João Araújo — A survey on varieties generated by small semigroups and a companion website· Journal question · editorial summary

OP-11973Number theoryOpen

A counterexample to Wilf's Conjecture

A counterexample to Wilf's Conjecture. Solid result problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.

Epoch AI — FrontierMath: Open Problems· Licensed source statement· 2026