• In mathematics and computer science, the KrohnRhodes theory (or algebraic automata theory) is an approach to the study of finite semigroups and automata...
    19 KB (2,286 words) - 18:43, 4 November 2024
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    student from Harvard, Kenneth Krohn, became known as the Prime Decomposition Theorem, or more simply the KrohnRhodes Theorem. After a year on an NSF...
    5 KB (538 words) - 20:54, 10 September 2024
  • Semigroup action (category Semigroup theory)
    {\displaystyle T_{vw}=T_{w}\circ T_{v}.} KrohnRhodes theory, sometimes also called algebraic automata theory, gives powerful decomposition results for...
    12 KB (1,971 words) - 16:48, 14 May 2024
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    Monoid (category Category theory)
    the study of monoids is fundamental for automata theory (KrohnRhodes theory), and formal language theory (star height problem). See semigroup for the history...
    35 KB (4,447 words) - 08:24, 16 July 2024
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    Semigroup (redirect from Semigroup theory)
    the role of bijections in group theory. A deep result in the classification of finite semigroups is KrohnRhodes theory, analogous to the Jordan–Hölder...
    37 KB (4,677 words) - 01:13, 9 September 2024
  • Victoria Cross John Rhodes (mathematician) (born 1937), American mathematician, co-developer of KrohnRhodes theory John M. Rhodes, United States National...
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  • Kaarle Krohn, Finnish folklorist, son of Julius Katherine Elizabeth Krohn, German-born American author Kenneth Krohn, co-developer of the KrohnRhodes theory...
    2 KB (264 words) - 05:05, 20 November 2023
  • semigroup, cf. [1]) KrohnRhodes theory Semigroup algebra Transformation semigroup Monoid Aperiodic monoid Free monoid Monoid (category theory) Monoid factorisation...
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  • the integer n only depends on A and is called the length of A. KrohnRhodes theory, a semigroup analogue Schreier refinement theorem, any two subnormal...
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  • Transformation semigroup (category Semigroup theory)
    monoid of the minimal automaton of the language.: 81  Semiautomaton KrohnRhodes theory Symmetric inverse semigroup Biordered set Special classes of semigroups...
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    decomposition algorithm for finite state machines in the vein of KrohnRhodes theory. Eilenberg was also a prominent collector of Asian art. His collection...
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    to semigroups and, as such, is a central construction in the KrohnRhodes structure theory of finite semigroups. Let A {\displaystyle A} be a group and...
    12 KB (1,793 words) - 23:18, 18 September 2024
  • Aperiodic semigroup (category Semigroup theory)
    if its syntactic monoid is finite and aperiodic. A consequence of the KrohnRhodes theorem is that every finite aperiodic monoid divides a wreath product...
    2 KB (285 words) - 21:36, 10 August 2023
  • Semigroup with three elements (category Semigroup theory)
    described as "set", "reset", and "do nothing". This semigroup occurs in the KrohnRhodes decomposition of finite semigroups. The irreducible elements in this...
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  • Complexity (category Chaos theory)
    self-organization. In mathematics, KrohnRhodes complexity is an important topic in the study of finite semigroups and automata. In network theory, complexity is the...
    37 KB (4,443 words) - 14:44, 26 August 2024
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    Renormalization (category Quantum field theory)
    Cellular Automata, the real space Ising model, the Krohn-Rhodes Theorem, QED, and rate distortion theory. Delamotte, Bertrand (2004). "A hint of renormalization"...
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  • Universal embedding theorem (category Theorems in group theory)
    {\displaystyle x\in A} (as A = ker ⁡ ψ {\displaystyle A=\ker \psi } ). The KrohnRhodes theorem is a statement similar to the universal embedding theorem, but...
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    644–68. doi:10.2307/1861842. JSTOR 1861842. Trask 1996, pp. 2–3 Jonathan Krohn, "Review of Tone, John Lawrence, War and Genocide in Cuba 1895–1898. "H-War...
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    Practices. CRC Press. p. 147. ISBN 1-884015-93-X. Lewenson, Sandra B.; Eleanor Krohn Herrman (2007). Capturing Nursing History. Springer Publishing Company....
    48 KB (5,635 words) - 01:23, 29 October 2024
  • (combined) Joe Klopfenstein, former NFL tight end for the Buffalo Bills Stuart Krohn (born 1962), professional rugby union player Sepp Kuss, cyclist, winner...
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  • Antjie Krog (b. 1952, South Africa), poet & academic in Afrikaans Leena Krohn (b. 1947, Finland), fiction & ch. wr. & es. Brigitte Kronauer (1940–2019...
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    Industries Harry Koch (1867–1942), railroad founder, newspaper founder Tracy Krohn (born 1954), entrepreneur, auto racing enthusiast Eugene Lacritz (1929–2012)...
    362 KB (41,697 words) - 21:48, 10 November 2024
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    (1874–1940), Norwegian barrister, economist, editor, and politician Albert Henrik Krohn Balchen (1825–1908), Norwegian priest and politician Albert Baldauf (1917–1991)...
    280 KB (32,451 words) - 22:39, 31 October 2024
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    Cfa), which enables year-round use of the facility. Light frosts are in theory possible, but unlikely, during the 24-hour event's nighttime under clear...
    89 KB (6,023 words) - 20:32, 11 November 2024
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    names: authors list (link) Lizotte, Alan J., Gregory J. Howard, Marvin D. Krohn, Terence P. Thornberry (1997). "Patterns of Illegal Gun Carrying Among Urban...
    222 KB (24,480 words) - 03:01, 11 November 2024
  • Thumbnail for List of University of Wisconsin–Madison people in academics
    Stuart Rojstaczer, former professor of geophysics, Duke University Gerhard Krohn Rollefson, former professor of chemistry, University of California, Berkeley...
    45 KB (5,136 words) - 22:59, 22 September 2024