Structure of Chinese algebras.

DOI10.1016/j.jalgebra.2011.08.020zbMath1246.16022arXiv1009.5847OpenAlexW2962838478WikidataQ60692205 ScholiaQ60692205MaRDI QIDQ2428069

Joanna Jaszuńska, Okniński, Jan

Publication date: 24 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5847

zbMATH Keywords

presentationsrepresentationsprime idealsradicalsmonoid algebrasChinese monoidshomogeneous congruences

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Free semigroups, generators and relations, word problems (20M05) Semigroup rings, multiplicative semigroups of rings (20M25) Ideals in associative algebras (16D25)

Related Items

Irreducible representations of the Chinese monoid ⋮ Involution words. II: Braid relations and atomic structures ⋮ Irreducible representations of the plactic algebra of rank four ⋮ Minimal spectrum and the radical of Chinese algebras. ⋮ Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids ⋮ Tropical linear representations of the Chinese monoid ⋮ Remark on the identities of the grammic monoid with three generators ⋮ Plactic algebra of rank 3 ⋮ On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids ⋮ Rewriting systems and biautomatic structures for Chinese, hypoplactic, and sylvester monoids ⋮ Identities of the plactic monoid. ⋮ Identities and bases in the hypoplactic monoid

Uses Software

• OEIS

Cites Work

• Binomial semigroups
• Plactic algebras.
• On radicals of graded rings
• THE CHINESE MONOID
• A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
• NOETHERIAN SEMIGROUP ALGEBRAS
• Chinese Algebras of Rank 3
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