Algebraic theory of finite semigroups
Séminaire Dubreil. Algèbre et théorie des nombres (1969-1970)
- Volume: 23, Issue: 2, page DG1-DG9
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topRhodes, 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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- [3] Arbib ( Michael A.). - Theories of abstract automata. - Englewood Cliffs, Prentice-Hall, 1969 (Prentice-Hall Series in Automatic Computation). Zbl0193.32801MR321626
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- [6] Krohn ( Kenneth) and Rhodes ( John). - Algebraic theory of machines, I, Trans. Amer. math. Soc., t. 116, 1965, p. 450-464. Zbl0148.01002MR188316
- [7] Krohn ( Kenneth) and Rhodes ( John). - Complexity of finite semigroups, Ann. of Math., 2nd series, t. 88, 1968, p. 128-160 Zbl0162.03902MR236294
- [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] Munn ( W.D.). - Semigroups and their algebras, Dissertation, Cambridge University, 1955.
- [10] Preston ( G.B.). - Matrix representations of semigroups, Quart. J. Math., Oxford Series, t. 9, 1958, p. 169-176. Zbl0094.24301MR99374
- [11] Rees ( D.). - On semigroups, Proc. Cambridge phil. Soc., t. 36, 1940, p. 387- 400. Zbl0028.00401MR2893JFM66.1207.01
- [12] Rhodes ( John). - A homomorphism theorem for finite semigroups, Math. Systems Theory, t. 1, 1967, p. 289-304. Zbl0204.03303MR223473
- [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] 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] 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] 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] Rhodes ( J.) and Allen ( D.). - Synthesis of the classical and modern theory of finite semigroups, Adv. in Math. (to appear) [See [20]].
- [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] 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] Rhodes ( J.) and Tilson ( B.R.), Editors. - Representation theorems for finite semigroups, Adv. in Math. (to appear).
- [21] Schützenberger ( Marcel Paul). - D représentations des demi-groupes, C. R. Acad. Sc. Paris, t. 244, 1957, p. 1994-1996. Zbl0081.25303MR86820
- [22] Stiffler ( P.). - Phil. D. Thesis, Dept of Math., University of California, 1970, to eventually appear in J. of pure and applied Algebra.
- [23] Tilson ( B.R.). - Complexity of two J-class semigroups, Adv. in Math. (to appear) [ See [20]].
- [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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