| Title:
|
Shift-automorphism methods for inherently nonfinitely based varieties of algebras (English) |
| Author:
|
Baker, Kirby A. |
| Author:
|
McNulty, George F. |
| Author:
|
Werner, Heinrich |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
53-69 |
| . |
| Category:
|
math |
| . |
| MSC:
|
08B05 |
| idZBL:
|
Zbl 0677.08005 |
| idMR:
|
MR983483 |
| DOI:
|
10.21136/CMJ.1989.102278 |
| . |
| Date available:
|
2008-06-09T15:25:10Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102278 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[4] S. Burris, H. P. Sankappanavar: A Course in Universal Algebra.Graduate Texts in Mathematics v. 78, Springer Verlag, New York, 1981. Zbl 0478.08001, MR 0648287 |
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| Reference:
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[8] E. Kiss: A note on varieties of graph algebras.in the Proceedings of the Charleston Conference on Universal Algebra and Lattice Theory, S. Comer, ed., Lecture Notes in Mathematics # 1149, Springer-Verlag, New York, pp. 163-166. Zbl 0572.08009, MR 0823014 |
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[10] I. V. L'vov: Varieties of associative rings I, II.Algebra and Logic 12, (1971), 150-167, 381-383. MR 0389973 |
| Reference:
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[11] R. Lyndon: Identities in two-valued calculi.Trans. Amer. Math. Soc. 71 (1951), 457-465. Zbl 0044.00201, MR 0044470, 10.1090/S0002-9947-1951-0044470-3 |
| Reference:
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[12] R. Lyndon: Identities in finite algebras.Proc. Amer. Math. Soc. 5 (1954), 8-9. Zbl 0055.02705, MR 0060482, 10.1090/S0002-9939-1954-0060482-6 |
| Reference:
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[13] R. McKenzie: Equational bases for lattice theories.Math. Scand. 27 (1970), 24-38. Zbl 0307.08001, MR 0274353, 10.7146/math.scand.a-10984 |
| Reference:
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| Reference:
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[15] G. McNulty: How to construct finite algebras which are not finitely based.in the Proceedings of the Charleston Conference on Universal Algebra and Lattice Theory, S. Comer, ed., Lecture Notes in Mathematics # 1149, Springer-Verlag, New York, 1985, pp. 167- 174. Zbl 0575.08005, MR 0823015 |
| Reference:
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[16] G. McNulty, C. Shallon: Inherently nonfinitely based finite algebras, Universal Algebra and Lattice Theory.Lecture Notes in Mathematics vol. 1004, R. Freese and O. Garcia, eds., 206-231, Springer-Verlag, 1983. MR 0716184, 10.1007/BFb0063439 |
| Reference:
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[17] V. L. Murskii: The existence in three-valued logic of a closed class with finite basis not having a finite complete set of identities.Dokl. Akad. Nauk. SSSR 163 (1965), 815-818; English Translation Soviet Math. Dokl. 6 (1965), 1020-1024. MR 0186539 |
| Reference:
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[18] V. L. Murskii: On the number of $k$-element algebras with one binary operation without a finite basis of identitis.Problemy Kibernet. 35 (1979), 5-27. MR 0539884 |
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[19] S. Oates, M. B. Powell: Identical relations in finite groups.J. Algebra 1 (1965), 11-39. MR 0161904, 10.1016/0021-8693(64)90004-3 |
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[20] S. Oates-Williams: Graphs and universal algebras, Combinatorial Mathematics VIII.Lecture Notes in Mathematics vol. 884, K. MacAvaney, ed., 351-354, Springer-Verlag, 1981. MR 0641259, 10.1007/BFb0091831 |
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[22] P. Perkins: Basis questions for general algebras.Algebra Universalis 19 (1984), 16-23. MR 0748904, 10.1007/BF01191487 |
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| . |
