ON A NEW APPROACH TO THE DUAL SYMMETRIC INVERSE MONOID $\mathcal{I}_{X}^{\ast}$

DOI10.1142/S0218196707003792zbMath1125.20049arXivmath/0703478MaRDI QIDQ5297225

Victor Maltcev

Publication date: 18 July 2007

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

Full work available at URL: https://arxiv.org/abs/math/0703478

zbMATH Keywords

generating setsGreen relationscross-sectionsmaximal subsemigroupsdual symmetric inverse semigroupsinverse partition semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18)

Related Items

ON THE PARTITION MONOID AND SOME RELATED SEMIGROUPS ⋮ The semigroup generated by the idempotents of a partition monoid. ⋮ Maximal subsemigroups of finite transformation and diagram monoids ⋮ On groups generated by involutions of a semigroup. ⋮ A PRESENTATION OF THE DUAL SYMMETRIC INVERSE MONOID ⋮ Infinite dual symmetric inverse monoids ⋮ Generation of infinite factorizable inverse monoids. ⋮ Generators and relations for partition monoids and algebras. ⋮ Unnamed Item ⋮ Jucys–Murphy elements of partition algebras for the rook monoid ⋮ Presentation for the Partial Dual Symmetric Inverse Monoid ⋮ Infinite partition monoids

Cites Work

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• Ideal Structure of the Kauffman and Related Monoids