Large aperiodic semigroups
J Brzozowski, M Szykuła - International Journal of Foundations of …, 2015 - World Scientific
… semigroup that is larger than any aperiodic semigroup known to date. We then present even
larger aperiodic semigroups, … and semigroups semiconstant. We examine semiconstant tree …
larger aperiodic semigroups, … and semigroups semiconstant. We examine semiconstant tree …
Aperiodic Flows on Finite Semigroups: Foundations and First Examples
S Margolis, J Rhodes - arXiv preprint arXiv:2410.06668, 2024 - arxiv.org
… examples of semigroups built from the character table of Abelian Groups that have an aperiodic
flows. … We now show that Ap∗Gp is the unique largest pseudovariety such that each of its …
flows. … We now show that Ap∗Gp is the unique largest pseudovariety such that each of its …
Normal forms for free aperiodic semigroups
JP McCammond - International Journal of Algebra and Computation, 2001 - World Scientific
… semigroups to show that these κ-semigroups are in fact the free aperiodic semigroups …
We can now summarize the basic properties of the Burnside semigroups of sufficiently large …
We can now summarize the basic properties of the Burnside semigroups of sufficiently large …
Pointlike sets: the finest aperiodic cover of a finite semigroup
K Henckell - Journal of Pure and Applied Algebra, 1988 - Elsevier
… motivated by the open question: “Is the complexity of a finite semigroup S decidable?” …
aperiodic semigroup and give an explicit relation. The central idea of the proof is that an aperiodic …
aperiodic semigroup and give an explicit relation. The central idea of the proof is that an aperiodic …
On aperiodic relational morphisms
B Steinberg - Semigroup Forum, 2005 - Springer
… We characterize aperiodic relational morphisms as those that … ’s results on joins of aperiodic
semigroups and groups. Also, … ’s theorem on the complexity of semigroups with at most $2$ …
semigroups and groups. Also, … ’s theorem on the complexity of semigroups with at most $2$ …
Semilatice Decompositions of Semigroups. Hereditariness and Periodicity—An Overview
M Mitrović, S Silvestrov - … on Stochastic Processes and Algebraic Structures, 2017 - Springer
… semigroup, a torsion class of a periodic semigroup S, need not be subsemigroup. Even more,
an example of a periodic semigroup … The investigations of semigroup graded rings is large …
an example of a periodic semigroup … The investigations of semigroup graded rings is large …
Finite aperiodic semigroups with commuting idempotents and generalizations
PM Higgins, SW Margolis - Israel Journal of Mathematics, 2000 - Springer
… This connection has lead to a large and deep literature on … aperiodic semigroup S with
commuting idempotents and prove that it does not divide any finite aperiodic inverse semigroup. …
commuting idempotents and prove that it does not divide any finite aperiodic inverse semigroup. …
[CITATION][C] Aperiodic sequences and growth functions of algebras
AT Kolotov - Algebra and Logic, 1981 - Springer
… a finitely generated nil-semigroup which cannot be imbedded in a nilalgebra. In Sec. 2 we
describe a scheme permitting the construction of an infinite series of such semigroups. In Sec. …
describe a scheme permitting the construction of an infinite series of such semigroups. In Sec. …
[PDF][PDF] Infinite Iteration of Matrix Semigroups II. Structure Theorem for Arbitrary Semigroups up to Aperiodic Morphism zyxwvutsrqponmlkjihgfedcbaZY
J Rhodes - Journal of Algebra, 1986 - academia.edu
… is the largest class of semigroups closed under … semigroups, orthodox semigroups, etc.).
In Section II we show that 8: S + T is an aperiodic morphism iff D(6) is an aperiodic semigroup. …
In Section II we show that 8: S + T is an aperiodic morphism iff D(6) is an aperiodic semigroup. …
McCammond's normal forms for free aperiodic semigroups revisited
J Almeida, JC Costa, M Zeitoun - LMS Journal of Computation and …, 2015 - cambridge.org
… the pseudovariety A of all finite aperiodic, or group-free, semigroups. These are the finite …
finite aperiodic semigroups do not separate an ω-term from its expansions of sufficiently large …
finite aperiodic semigroups do not separate an ω-term from its expansions of sufficiently large …