On Weakly Prefix Subsemigroups of a Free Semigroup

1980 ◽  
pp. 123-129 ◽  
Author(s):  
Renato M. Capocelli
Keyword(s):  
Free Semigroup

scholarly journals Operator Algebras with Unique Preduals

2011 ◽  
Vol 54 (3) ◽  
pp. 411-421 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Alex Wright
Keyword(s):  
Banach Space ◽  
Operator Algebra ◽  
Free Semigroup ◽  
Operator Algebras ◽  
Compact Operators ◽  
Semigroup Algebra ◽  
Dense Subalgebra

AbstractWe show that every free semigroup algebra has a (strongly) unique Banach space predual. We also provide a new simpler proof that a weak-∗ closed unital operator algebra containing a weak-∗ dense subalgebra of compact operators has a unique Banach space predual.

THE WORD PROBLEM FOR THE RELATIVELY FREE SEMIGROUP SATISFYING Tm=Tm+n WITH m≥3

1993 ◽  
Vol 03 (03) ◽  
pp. 335-347 ◽  
Author(s):  
V.S. GUBA
Keyword(s):  
Word Problem ◽  
Free Semigroup

Let m≥3, n≥1. In this article we show that the word problem for the relatively free Burnside semigroup satisfying Tm=Tm+n, is decidable.

scholarly journals Elements of finite order in Stone-Čech compactifications

1993 ◽  
Vol 36 (1) ◽  
pp. 49-54 ◽  
Author(s):  
John Baker ◽  
Neil Hindman ◽  
John Pym
Keyword(s):  
Compact Group ◽  
Finite Order ◽  
Free Semigroup ◽  
Continuous Homomorphism ◽  
Discrete Topology ◽  
Natural Extensions ◽  
Finite Sums

Let S be a free semigroup (on any set of generators). When S is given the discrete topology, its Stone-Čech compactification has a natural semigroup structure. We give two results about elements p of finite order in βS. The first is that any continuous homomorphism of βS into any compact group must send p to the identity. The second shows that natural extensions, to elements of finite order, of relationships between idempotents and sequences with distinct finite sums, do not hold.

The multi-transitivity of free semigroup actions

2020 ◽  
Vol 20 (05) ◽  
pp. 2050040
Author(s):  
Zhumin Ding ◽  
Jiandong Yin ◽  
Xiaofang Luo
Keyword(s):  
Free Semigroup ◽  
Skew Product ◽  
Product System ◽  
Semigroup Action ◽  
Semigroup Actions ◽  
Equivalent Conditions ◽  
Mixing Property

In this paper, we introduce the conceptions of multi-transitivity, [Formula: see text]-transitivity and [Formula: see text]-mixing property for free semigroup actions and give some equivalent conditions for a free semigroup action to be multi-transitive, multi-transitive with respect to vectors and strongly multi-transitive, respectively. For instance, we prove that a free semigroup action is multi-transitive or multi-transitive with respect to a vector if and only if its corresponding skew product system is multi-transitive or multi-transitive with respect to the same vector.

scholarly journals Congruence-free inverse semigroups with zero

1975 ◽  
Vol 20 (1) ◽  
pp. 110-114 ◽  
Author(s):  
G. R. Baird
Keyword(s):  
Free Semigroup ◽  
Inverse Semigroups ◽  
Identity Congruence

A semigroup is said to be congruence-free if it has only two congruences, the identity congruence and the universal congruence. It is almost immediate that a congruence-free semigroup of order greater than two must either be simple or 0-simple. In this paper we describe the semilattices of congruence-free inverse semi-groups with zero. Further, congruence-free inverse semigroups with zero are characterized in terms of partial isomorphisms of their semilattices. A general discussion of congruence-free inverse semigroups, with and without zero, is given by Munn (to appear).

Every subsemigroup of a free semigroup with zero is not an R-semigroup

1976 ◽  
Vol 12 (1) ◽  
pp. 380-382 ◽  
Author(s):  
H. J. Shyr
Keyword(s):  
Free Semigroup

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. 

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