The inverse hull of the free semigroup on a set X

1978 ◽  
Vol 16 (1) ◽  
pp. 345-354 ◽  
Author(s):  
Nathaniel Knox
Keyword(s):  
Free Semigroup ◽  
Inverse Hull

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.

Topological r-Pressure and Topological Pressure of Free Semigroup Actions

2021 ◽  
Vol 11 (02) ◽  
pp. 222-236
Author(s):  
伊楠 郑
Keyword(s):  
Free Semigroup ◽  
Topological Pressure ◽  
Semigroup Actions

Free Semigroup Algebras A Survey

2001 ◽  
pp. 209-240 ◽  
Author(s):  
Kenneth R. Davidson
Keyword(s):  
Free Semigroup ◽  
Semigroup Algebras

On Weakly Prefix Subsemigroups of a Free Semigroup

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

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).

On the topological entropy of induced transformations for free semigroup action

2020 ◽  
pp. 1-9
Author(s):  
Yong Ji ◽  
Yunping Wang
Keyword(s):  
Topological Entropy ◽  
Free Semigroup ◽  
Semigroup Action

scholarly journals GRAPH PRODUCTS OF RIGHT CANCELLATIVE MONOIDS

2009 ◽  
Vol 87 (2) ◽  
pp. 227-252 ◽  
Author(s):  
JOHN FOUNTAIN ◽  
MARK KAMBITES
Keyword(s):  
Graph Products ◽  
Graph Product ◽  
General Characterization ◽  
Inverse Hull ◽  
Cancellative Monoids

AbstractOur first main result shows that a graph product of right cancellative monoids is itself right cancellative. If each of the component monoids satisfies the condition that the intersection of two principal left ideals is either principal or empty, then so does the graph product. Our second main result gives a presentation for the inverse hull of such a graph product. We then specialize to the case of the inverse hulls of graph monoids, obtaining what we call ‘polygraph monoids’. Among other properties, we observe that polygraph monoids are F*-inverse. This follows from a general characterization of those right cancellative monoids with inverse hulls that are F*-inverse.

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