A PRESENTATION OF THE DUAL SYMMETRIC INVERSE MONOID

DOI10.1142/S0218196708004470zbMath1158.20326arXiv0707.2439OpenAlexW2147082041MaRDI QIDQ3520364

James East, David Easdown, D. G. Fitz-Gerald

Publication date: 26 August 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2439

zbMATH Keywords

completely regular elementsmonoid presentationsdual symmetric inverse monoids

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Inverse semigroups (20M18)

Related Items (16)

The semigroup generated by the idempotents of a partition monoid. ⋮ OPTIMIZATION OF MULTIPLE CLASSIFIERS IN DATA MINING BASED ON STRING REWRITING SYSTEMS ⋮ Infinite dual symmetric inverse monoids ⋮ Generation of infinite factorizable inverse monoids. ⋮ Defining relations for idempotent generators in finite full transformation semigroups. ⋮ ON THE SINGULAR PART OF THE PARTITION MONOID ⋮ Generators and relations for partition monoids and algebras. ⋮ OPTIMAL REES MATRIX CONSTRUCTIONS FOR ANALYSIS OF DATA ⋮ A presentation for the singular part of the full transformation semigroup. ⋮ Jucys–Murphy elements of partition algebras for the rook monoid ⋮ A symmetrical presentation for the singular part of the symmetric inverse monoid. ⋮ Presentations for subsemigroups of $PD_n$ ⋮ OPTIMIZATION OF MATRIX SEMIRINGS FOR CLASSIFICATION SYSTEMS ⋮ Presentation for the Partial Dual Symmetric Inverse Monoid ⋮ REES MATRIX CONSTRUCTIONS FOR CLUSTERING OF DATA ⋮ Partial transformation monoids preserving a uniform partition.

Cites Work

• Partition algebras.
• Cellularity of diagram algebras as twisted semigroup algebras.
• A presentation for the monoid of uniform block permutations
• ON A NEW APPROACH TO THE DUAL SYMMETRIC INVERSE MONOID $\mathcal{I}_{X}^{\ast}$

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