Subsemigroups of Free Semigroups

1990 ◽  
pp. 285-290
Author(s):  
B. J. Saunders
Keyword(s):  
Free Semigroups

scholarly journals Relatively Free Semigroups of Intermediate Growth

2001 ◽  
Vol 235 (2) ◽  
pp. 484-546 ◽  
Author(s):  
L.M Shneerson
Keyword(s):  
Intermediate Growth ◽  
Free Semigroups

Completely simple semigroups: free products, free semigroups and varieties

1981 ◽  
Vol 88 (3-4) ◽  
pp. 293-313 ◽  
Author(s):  
P. R. Jones
Keyword(s):  
Matrix Representation ◽  
Maximal Subgroups ◽  
Lattice Of Varieties ◽  
Free Products ◽  
Completely Simple Semigroups ◽  
Countable Rank ◽  
Free Semigroups ◽  
Abelian Subgroups ◽  
And Inversion ◽  
Completely Simple

SynopsisThe class CS of completely simple semigroups forms a variety under the operations of multiplication and inversion (x−1 being the inverse of x in its ℋ-class). We determine a Rees matrix representation of the CS-free product of an arbitrary family of completely simple semigroups and deduce a description of the free completely simple semigroups, whose existence was proved by McAlister in 1968 and whose structure was first given by Clifford in 1979. From this a description of the lattice of varieties of completely simple semigroups is given in terms of certain subgroups of a free group of countable rank. Whilst not providing a “list” of identities on completely simple semigroups it does enable us to deduce, for instance, the description of all varieties of completely simple semigroups with abelian subgroups given by Rasin in 1979. It also enables us to describe the maximal subgroups of the “free” idempotent-generated completely simple semigroups T(α, β) denned by Eberhart et al. in 1973 and to show in general the maximal subgroups of the “V-free” semigroups of this type (which we define) need not be free in any variety of groups.

Group-Free Semigroups

2001 ◽  
pp. 227-258
Author(s):  
P. A. Grillet
Keyword(s):  
Free Semigroups

Left large subsets of free semigroups and groups that are not right large

2014 ◽  
Vol 90 (2) ◽  
pp. 374-385 ◽  
Author(s):  
Neil Hindman ◽  
Lakeshia Legette Jones ◽  
Monique Agnes Peters
Keyword(s):  
Free Semigroups

scholarly journals Random walks of infinite moment on free semigroups

2019 ◽  
Vol 175 (3-4) ◽  
pp. 1099-1122
Author(s):  
Behrang Forghani ◽  
Giulio Tiozzo
Keyword(s):  
Random Walks ◽  
Free Semigroups

On free semigroups of automaton transformations

1998 ◽  
Vol 63 (2) ◽  
pp. 215-224
Author(s):  
A. S. Oliinyk
Keyword(s):  
Free Semigroups

Ergodic theorems for actions of free groups and free semigroups

1999 ◽  
Vol 65 (5) ◽  
pp. 654-657 ◽  
Author(s):  
R. I. Grigorchuk
Keyword(s):  
Free Groups ◽  
Ergodic Theorems ◽  
Free Semigroups

FREE SEMIGROUP PRESENTATIONS

2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Nwawuru Francis
Keyword(s):  
Direct Product ◽  
Free Semigroup ◽  
Finitely Generated ◽  
Free Semigroups ◽  
Finitely Presented

Let and  be two free semigroups. We define external direct product of two free semigroups as an ordered pair of words such  that and .We investigate the presentations of external direct product of free semigroups, state and prove under some conditions that the external direct product of two finitely generated free semigroups is finitely generated, also the external direct product of two finitely presented free semigroups is finitely presented. 

Sign in / Sign up

Export Citation Format

Share Document