The ranks of certain semigroups of partial isometries


Bugay L. , YAĞCI M. , AYIK H.

SEMIGROUP FORUM, cilt.97, ss.214-222, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 97 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s00233-018-9954-1
  • Dergi Adı: SEMIGROUP FORUM
  • Sayfa Sayısı: ss.214-222

Özet

Let In be the symmetric inverse semigroup on X-n = {1,..., n}, and let DPn and ODPn be its subsemigroups of partial isometries and of order-preserving partial isometries on Xn under its natural order, respectively. In this paper we find the ranks of the subsemigroups DPn, r = {alpha is an element of DPn : | im (alpha)vertical bar = r} and ODPn, r = {a. ODPn : vertical bar im (a)vertical bar <= r} for 2 <= r <= n - 1.