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Flows on Classes of Regular Semigroups and Cauchy Categories

2019
*
Journal of Mathematics
*

We consider the structure of the

doi:10.1155/2019/8027391
fatcat:y5wsntodrbcujka7y63iwyalie
*flow*monoid for some classes of*regular**semigroups*(which are special case of*flows**on*categories) and for Cauchy categories. ... In detail, we characterize*flows*for Rees matrix*semigroups*, rectangular bands, and full transformation*semigroups*and also describe the Cauchy categories for some classes of*regular**semigroups*such as ... The Structure of*Flow*Monoids*on*Classes of*Regular**Semigroups*In this section, by describing the construction of the*flow*monoid*on*a*regular**semigroup*(which is a special case of a*flow**on*a category ...##
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Page 1896 of Mathematical Reviews Vol. , Issue 2004c
[page]

2004
*
Mathematical Reviews
*

D. (4-H WAT; Edinburgh)

*Flows**on**regular**semigroups*. (English summary) Appl. Categ. Structures 11 (2003), no. 2, 147-155. ... Returning to a*regular*monoid S, the*flow*monoid of S is defined 20 GROUP THEORY AND GENERALIZATIONS 1896 to be the monoid ®(S) of*flows**on*the groupoid S. ...##
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Page 151 of Mathematical Reviews Vol. 46, Issue 1
[page]

1973
*
Mathematical Reviews
*

Such maps are called

*regular*if they are*regular*covering maps. From the author’s introduction: “*Regular*positively expansive maps*on*compact manifolds M are studied. ...*On*the contrary, we show that any minimal set (X, 7’) admits many*semigroup*structures of the type described above. ...##
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Page 261 of Mathematical Reviews Vol. , Issue 97A
[page]

1997
*
Mathematical Reviews
*

to the existence of C-

*semigroups*dependent*on*the*regularization*parameter. “(3) The construction of generalized solutions. ... We consider integrated*semigroups*, C-*semigroups*, local and global*semigroups*. “(2) The approximate solution by*regularizing*operators. ...##
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Markovian Cocycles on Operator Algebras Adapted to a Fock Filtration

2000
*
Journal of Functional Analysis
*

Applying the algebra results to Fock-adapted Markovian cocycles

doi:10.1006/jfan.2000.3658
fatcat:old2yzj62fhwjes3n6fkmvrxbu
*on*a Hilbert space we obtain similar characterisations. ... In particular, contraction cocycles, whose Markov*semigroup*is norm continuous, strongly satisfy a QSDE. ... A time-homogeneous*flow*whose Markov*semigroup*is norm continuous is called Markov-*regular*. ...##
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Symbolic dynamics and semigroup theory
[article]

2018
*
arXiv
*
pre-print

In this article we survey some developments

arXiv:1811.04013v1
fatcat:bhek7jct5vehxje7hfcvwvo4ku
*on*this connection, since when it was noticed in an article by Almeida, published in the CIM bulletin, in 2003. ... A major motivation for the development of*semigroup*theory was, and still is, its applications to the study of formal languages. ... The author is indebted to Jorge Almeida for his comments*on*a preliminary version of this paper. ...##
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Page 4007 of Mathematical Reviews Vol. , Issue 2000f
[page]

2000
*
Mathematical Reviews
*

Concrete descriptions of free completely reg- ular

*semigroups*followed, and then*flowed*a wealth of discoveries 20M _*Semigroups*20001:20108 about the lattice of varieties of such*semigroups*, both complete ... The second uses these techniques to study relations*on*the congruence lattices of completely*regular**semigroups*. ...##
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Page 3414 of Mathematical Reviews Vol. , Issue 98F
[page]

1998
*
Mathematical Reviews
*

Ponizovskii],

*On*a theorem of Y. Zalcstein (225-231); Maria B. Szendrei,*Regular**semigroups*and semidirect products (233-246); P. G. Trotter, e-varieties of*regular**semigroups*(247-262); M. V. ... Kruzhkov, Pafnutii L’vovich Chebyshev (*on*the 175th anniversary of his birth) (3-4); D. V. Anosov, Some geo- metric problems associated with*flows**on*surfaces (5, 109); N. S. ...##
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Degenerate semigroups and stochastic flows of mappings in foliated manifolds
[article]

2013
*
arXiv
*
pre-print

We study the degeneracy of these

arXiv:1306.0123v1
fatcat:rgtdc33condy3aiqwimytntlqm
*semigroups*such that the*flow*of mappings is foliated, i.e. each trajectory lays in a single leaf of the foliation a.s, hence creating a geometrical obstruction for coalescence ... We consider a family of compatible Feller*semigroups*in C(M^n) associated to laws of the n-point motion. ... Consider a convolution*semigroup*{Q t : t ≥ 0} of*regular*probability measure*on*(F, E), i.e Q s+t = Q s * Q t for all 0 ≤ s, t. ...##
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Page 1080 of Mathematical Reviews Vol. 30, Issue 6
[page]

1965
*
Mathematical Reviews
*

By defining
a right-invariant equivalence relation R

*on*T by xRy<>M(s8,,z)=M(s,,y),*one*can give a*one*-to-*one*association of the states of the automaton with blocks of a right-*regular*partition of 7’ of ... a function M*on*S x I into S, and an operation f defined over J so that the system (J, f) is a*semigroup*. ...##
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A HOMOMORPHISM OF POINTED MINIMAL SETS AND QUASI-ELLIS GROUPS

2013
*
Korean Journal of Mathematics
*

In this paper we give some results

doi:10.11568/kjm.2013.21.2.181
fatcat:bw3rda7elvevhgs6tncgrh26sm
*on*homomorphisms of pointed minimal sets. In particular, we investigate some characterizations*on*quasi-Ellis groups. ... A*one*-*one*homomorphism of X onto X is called an automorphism of X. We denote the group of automorphisms of X by A(X). A*flow*is said to be minimal if every point has dense orbit. ... E(X) is at once a*flow*and a sub-*semigroup*of X X . The minimal right ideals of E(X), considered as a*semigroup*, coincide with the minimal sets of E(X). ...##
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Page 2664 of Mathematical Reviews Vol. , Issue 95e
[page]

1995
*
Mathematical Reviews
*

For a

*flow*(S,X), with S acting*on*a compact space X, the enveloping semi- group of (S,X) is defined to be the closure S~ c X* (pointwise topology). ...*One**semigroup*constructed has just two such ideals and is metrizable; another has 2° such ideals. ...##
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Towards Krohn-Rhodes complexity
[article]

2021
*
arXiv
*
pre-print

When decomposing a finite

arXiv:2110.10373v2
fatcat:tgvk6walxfawnmkg4kdggwbbqq
*semigroup*into a wreath product of groups and aperiodic*semigroups*, complexity measures the minimal number of groups that are needed. ... We thank Jean-Camille Birget for discussions*on*the material in Section 2 and pointing out an error in a previous version of this paper. ... We thank Pedro Silva for work*on*an early version of the material in Section 2. We thank Sam van Gool for some discussions. AS was partially supported by NSF grants DMS-1760329 and DMS-2053350. ...##
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Pointlike sets with respect to ER
[article]

2022
*
arXiv
*
pre-print

We show that pointlike sets are decidable for the pseudovariety of finite

arXiv:2204.09247v1
fatcat:kvcqh7xk2jeqze45r6cpywzbf4
*semigroups*whose idempotent-generated subsemigroup is R-trivial. ... Notably, our proof is constructive: we provide an explicit relational morphism which computes the ER-pointlike subsets of a given finite*semigroup*. ... A (finite) transformation*semigroup*is a PTS (Q, S) wherein the action of S*on*Q is by fully defined functions*on*Q. ...##
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On the model checking of finite state transducers over semigroups

О верификации конечных автоматов-преобразователей над полугруппами

2018
*
Proceedings of the Institute for System Programming of RAS
*

О верификации конечных автоматов-преобразователей над полугруппами

*On*the model checking of finite state transducers over

*semigroups*. Trudy ISP RAN/Proc. .

*On*the model checking of finite state transducers over

*semigroups*. Trudy ISP RAN/Proc. ... This language is based

*on*the well-known temporal logic CTL* and has two distinguished features: 1) each temporal operator is parameterized with a

*regular*expression over input alphabet of the transducer ... Acknowledgments The authors of the article thank the anonymous reviewers for their valuable comments and advice

*on*improving the article. ...

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