Geodesic
A Characterization of Varieties with a Difference Term
Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 308-315

Voir la notice de l'article provenant de la source Cambridge University Press

We characterize, by means of congruence identities, all varieties having a weak difference term, and all neutral varieties. Our characterization of varieties with a difference term is new even in the particular case of locally finite varieties.
DOI : 10.4153/CMB-1996-038-0
Mots-clés : 08B05, 08B99, Variety with a (weak) difference term, commutator, neutral variety 
Lipparini, Paolo. A Characterization of Varieties with a Difference Term. Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 308-315. doi: 10.4153/CMB-1996-038-0
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Burris, S., Sankappanavar, H. P., A course in universal algebra, New York, 1981. Google Scholar

Day, A., Gumm, H. P., Some characterizations of the commutator, Algebra Universalis, 29(1992), 61–78. Google Scholar

Freese, R., McKenzie, R., Commutator theory for congruence modular varieties, London Math. Soc. Lecture Notes, 125(1987). Google Scholar

Gumm, H. P., Geometrical methods in congruence modular algebras, Amer. Math. Soc. Memoirs, 286 (1983). Google Scholar

Hagemann, J. and Herrmann, C., A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity, Arch. Math. (Basel), 32(1979), 234–245. Google Scholar

Hagemann, J. and Mitschke, A., On n-permutable congruences, Algebra Universalis, 3(1973), 11–12. Google Scholar

Hobby, D. and McKenzie, R., The structure of finite algebras, Contemp. Math. 76(1988). Google Scholar

Kearnes, K. A., An Order-theoretic Property of the Commutator, Internat. J. Algebra Comput., 3(1993), 491–533. Google Scholar

Kearnes, K. A., Varieties with a difference term, preprint. Google Scholar

Kearnes, K. and McKenzie, R., Commutator theory for relatively modular quasivarieties, Trans. Amer. Math. Soc, 331(1992), 465–502. Google Scholar

Kiss, E. W., Three remarks on the modular commutator. Algebra Universalis. 29( 1992), 455–476. Google Scholar

Kiss, E. W. and P., Prôhle, Problems and results in tame congruence theory. A survey of the ‘88 Budapest Workshop, Algebra Universalis, 29(1992), 151–171. Google Scholar

Kiss, E. W. and Quackenbush, R., General Commutator Theory via Linear Algebra, Notes. Google Scholar

Lipparini, P., n-permutable varieties satisfy nontrival congruence identities, Algebra Universalis, 33 (1995), 159–168. Google Scholar

Lipparini, P., Commutator Theory without join-distrihutivity, Trans. Amer. Math. Soc. 346(1994), 177–202. Google Scholar

Lipparini, P., Varieties satisfying some forms of Herrmann s theorem, in preparation. Google Scholar

Lipparini, P., Difference terms and the cyclic commutator, in preparation. Google Scholar

Lipparini, P., Congruence identities satisfied in n-permutable varieties, Bollettino Unione Matematica Italiana, Ser. VII, 8-B(1994), 851–868. Google Scholar

McKenzie, R., McNulty, G. and Taylor, W., Algebras, Lattices, Varieties, 1, Monterey, 1987. Google Scholar

Quackenbush, R., Quasi-affine algebras, Algebra Universalis, 20(1985), 318–327. Google Scholar

Smith, J. D. H., Mai'cev varieties, LNM, 554(1976). Google Scholar

Taylor, W., Some applications of the Term Condition, Algebra Universalis, 14(1982), 11—24. Google Scholar

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