Algebraic theory of finite semigroups

John Rhodes

Séminaire Dubreil. Algèbre et théorie des nombres (1969-1970)

  • Volume: 23, Issue: 2, page DG1-DG9

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Rhodes, John. "Algebraic theory of finite semigroups." Séminaire Dubreil. Algèbre et théorie des nombres 23.2 (1969-1970): DG1-DG9. <http://eudml.org/doc/111404>.

@article{Rhodes1969-1970,
author = {Rhodes, John},
journal = {Séminaire Dubreil. Algèbre et théorie des nombres},
language = {eng},
number = {2},
pages = {DG1-DG9},
publisher = {Secrétariat mathématique},
title = {Algebraic theory of finite semigroups},
url = {http://eudml.org/doc/111404},
volume = {23},
year = {1969-1970},
}

TY - JOUR
AU - Rhodes, John
TI - Algebraic theory of finite semigroups
JO - Séminaire Dubreil. Algèbre et théorie des nombres
PY - 1969-1970
PB - Secrétariat mathématique
VL - 23
IS - 2
SP - DG1
EP - DG9
LA - eng
UR - http://eudml.org/doc/111404
ER -

References

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  1. [1] Allen ( D.). - Structure theorems for regular semigroups, Trans. Amer. math. Soc. (to appear). 
  2. [2] Arbib ( M.A.), Editor. - Algebraic theory of machines, languages and semi-groups. - New York, Academic Press, 1968. Zbl0181.01501MR232875
  3. [3] Arbib ( Michael A.). - Theories of abstract automata. - Englewood Cliffs, Prentice-Hall, 1969 (Prentice-Hall Series in Automatic Computation). Zbl0193.32801MR321626
  4. [4] Clifford ( A.H.). - Semigroups admitting relative inverses, Ann. of Math., 2nd series, t. 42, 1941, p. 1037-1049. Zbl0063.00920MR5744
  5. [5] Green ( J.A.). - On the structure of semigroups, Ann. of Math., 2nd series, t. 54, 1951, p. 163-172. Zbl0043.25601MR42380
  6. [6] Krohn ( Kenneth) and Rhodes ( John). - Algebraic theory of machines, I, Trans. Amer. math. Soc., t. 116, 1965, p. 450-464. Zbl0148.01002MR188316
  7. [7] Krohn ( Kenneth) and Rhodes ( John). - Complexity of finite semigroups, Ann. of Math., 2nd series, t. 88, 1968, p. 128-160 Zbl0162.03902MR236294
  8. [8] Krohn ( K.), Rhodes ( J.) and Tilson ( B.R. ) . - [Some lectures on the algebraic theory of finite semigroups and finite-state machines] in Algebraic theory of machines, languages and semigroups, Edited by M. A. Arbib ; chapters 1, 5-9. - New York, Academic Press, 1968. 
  9. [9] Munn ( W.D.). - Semigroups and their algebras, Dissertation, Cambridge University, 1955. 
  10. [10] Preston ( G.B.). - Matrix representations of semigroups, Quart. J. Math., Oxford Series, t. 9, 1958, p. 169-176. Zbl0094.24301MR99374
  11. [11] Rees ( D.). - On semigroups, Proc. Cambridge phil. Soc., t. 36, 1940, p. 387- 400. Zbl0028.00401MR2893JFM66.1207.01
  12. [12] Rhodes ( John). - A homomorphism theorem for finite semigroups, Math. Systems Theory, t. 1, 1967, p. 289-304. Zbl0204.03303MR223473
  13. [13] Rhodes ( John). - The fundamental lemma of complexity for arbitrary finite semigroups, Bull. Amer. math. Soc., t. 74, 1968, p. 1104-1109. Zbl0185.04801MR232873
  14. [14] Rhodes ( John). - A proof of the fundamental lemma of complexity (weak version) for arbitrary finite semigroups, J. of Comb. Theory (to appear). Zbl0241.20058MR274615
  15. [15] Rhodes ( John). - A proof of the fundamental lemma of complexity (strong version) for arbitrary finite semigroups, J. of Comb. Theory (to appear). Zbl0323.20069MR338235
  16. [16] Rhodes ( John). - Algebraic theory of finite semigroups, Semigroups, Proceedings of a Symposium on semigroups [1968. Detroit], p. 125-162. - New York, Academic Press, 1969. Zbl0223.20070MR281817
  17. [17] Rhodes ( J.) and Allen ( D.). - Synthesis of the classical and modern theory of finite semigroups, Adv. in Math. (to appear) [See [20]]. 
  18. [18] Rhodes ( J.) and Tilson ( B.R.). - Lower bounds for complexity of finite semigroups, J. of pure and applied Algebra (to appear). Zbl0259.20051MR285649
  19. [19] Rhodes ( J.) and Tilson ( B.R.). - Improved lower bounds for the complexity of finite semigroups, Adv. in Math. (to appear) [See [20]]. Zbl0257.20059MR299708
  20. [20] Rhodes ( J.) and Tilson ( B.R.), Editors. - Representation theorems for finite semigroups, Adv. in Math. (to appear). 
  21. [21] Schützenberger ( Marcel Paul). - D représentations des demi-groupes, C. R. Acad. Sc. Paris, t. 244, 1957, p. 1994-1996. Zbl0081.25303MR86820
  22. [22] Stiffler ( P.). - Phil. D. Thesis, Dept of Math., University of California, 1970, to eventually appear in J. of pure and applied Algebra. 
  23. [23] Tilson ( B.R.). - Complexity of two J-class semigroups, Adv. in Math. (to appear) [ See [20]]. 
  24. [24] Zeiger ( H.P.). - Cascade synthesis of finite-state machines, Inform. and Control, t. 10, 1967, p. 419-433, and erratum. Zbl0164.32301

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