Polyhedral convex cones and the equational theory of the bicyclic semigroup
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Publication:3413479
DOI10.1017/S1446788700014646zbMath1168.20026MaRDI QIDQ3413479
Publication date: 12 December 2006
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
algorithmssemigroup varietiessimple semigroupspolyhedral convex conesbalanced semigroup identitiesbicylic semigroup
Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)
Related Items (9)
Identities of the Kauffman Monoid $$\mathcal {K}_4$$ and of the Jones Monoid $$\mathcal {J}_4$$ ⋮ The finite basis problem for words with at most two non-linear variables. ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ Geometry and algorithms for upper triangular tropical matrix identities ⋮ Identities and bases in the Sylvester and Baxter monoids ⋮ Identities in upper triangular tropical matrix semigroups and the bicyclic monoid ⋮ Semigroup identities in the monoid of two-by-two tropical matrices. ⋮ Identities of the plactic monoid. ⋮ Identities and bases in the hypoplactic monoid
Cites Work
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- Looking for identities on a bicyclic semigroup with computer assistance
- Embedding any countable semigroup in a 2-generated congruence-free semigroup
- On the axiomatic rank of varieties generated by a semigroup or monoid with one defining relation
- Cancellative simple semigroups and groups
- Completely regular semigroups in the variety generated by the bicyclic semigroup
- Analogues of the bicyclic semigroup in simple semigroups without idempotents
- Halbgruppen und Ringe mit Linkseinheiten ohne Linkseinselemente
- Semigroups with Quasi-Zeroes
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