This article is cited in 1 paper

RESEARCH ARTICLE

Length of the inverse symmetric semigroup

Olexandr Ganyushkin^a, Ivan Livinsky<sup>b

a</sup> Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st. 01033, Kyiv, UKRAINE
^b Department of Mathematics, University of Manitoba, 186 Dysart Road, R3T2N2, Winnipeg, CANADA

Abstract: The length of the lattice of subsemigroups of the inverse symmetric semigroup $\mathcal{IS}_n$ is calculated.

Keywords: length of a semigroup, inverse semigroup, semigroup, Brandt semigroup.

MSC: 20M18, 20M10

Received: 26.10.2011
Revised: 17.12.2011

Language: English

Bibliographic databases:

• 
•