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Flows on Classes of Regular Semigroups and Cauchy Categories

Suha Ahmed Wazzan
2019 Journal of Mathematics  
We consider the structure of the 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  ... 
doi:10.1155/2019/8027391 fatcat:y5wsntodrbcujka7y63iwyalie

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.  ... 

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.  ... 

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.  ... 

Markovian Cocycles on Operator Algebras Adapted to a Fock Filtration

J.Martin Lindsay, Stephen J. Wills
2000 Journal of Functional Analysis  
Applying the algebra results to Fock-adapted Markovian cocycles 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.  ... 
doi:10.1006/jfan.2000.3658 fatcat:old2yzj62fhwjes3n6fkmvrxbu

Symbolic dynamics and semigroup theory [article]

Alfredo Costa
2018 arXiv   pre-print
In this article we survey some developments 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.  ... 
arXiv:1811.04013v1 fatcat:bhek7jct5vehxje7hfcvwvo4ku

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.  ... 

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.  ... 

Degenerate semigroups and stochastic flows of mappings in foliated manifolds [article]

Paulo Henrique P da Costa, Paulo R. Ruffino
2013 arXiv   pre-print
We study the degeneracy of these 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.  ... 
arXiv:1306.0123v1 fatcat:rgtdc33condy3aiqwimytntlqm

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.  ... 

A HOMOMORPHISM OF POINTED MINIMAL SETS AND QUASI-ELLIS GROUPS

Hyung-Soo Song
2013 Korean Journal of Mathematics  
In this paper we give some results 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).  ... 
doi:10.11568/kjm.2013.21.2.181 fatcat:bw3rda7elvevhgs6tncgrh26sm

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.  ... 

Towards Krohn-Rhodes complexity [article]

Stuart Margolis, John Rhodes, Anne Schilling
2021 arXiv   pre-print
When decomposing a finite 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.  ... 
arXiv:2110.10373v2 fatcat:tgvk6walxfawnmkg4kdggwbbqq

Pointlike sets with respect to ER [article]

Karsten Henckell, Samuel Herman
2022 arXiv   pre-print
We show that pointlike sets are decidable for the pseudovariety of finite 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.  ... 
arXiv:2204.09247v1 fatcat:kvcqh7xk2jeqze45r6cpywzbf4

On the model checking of finite state transducers over semigroups
О верификации конечных автоматов-преобразователей над полугруппами

A.R. Gnatenko, V.A. Zakharov
2018 Proceedings of the Institute for System Programming of RAS  
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.  ... 
doi:10.15514/ispras-2018-30(3)-21 fatcat:2j6ccodla5dkzcxn6bhpmj4g6u
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