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The connection of skew Boolean algebras and discriminator varieties to Church algebras
Karin Cvetko-Vah, Antonino Salibra
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Algebra Universalis, 1994
Abstract: "In this paper we determine those locally finite varieties that generate decidable discriminator varieties when argumented by a ternary discriminator term."
Valeriote, M. A., Willard, R.
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Abstract: "In this paper we determine those locally finite varieties that generate decidable discriminator varieties when argumented by a ternary discriminator term."
Valeriote, M. A., Willard, R.
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International Journal of Algebra and Computation, 2014
We generalize the notion of discriminator variety in such a way as to capture several varieties of algebras arising mainly from fuzzy logic. After investigating the extent to which this more general concept retains the basic properties of discriminator varieties, we give both an equational and a purely algebraic characterization of quasi-discriminator ...
PAOLI, FRANCESCO +3 more
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We generalize the notion of discriminator variety in such a way as to capture several varieties of algebras arising mainly from fuzzy logic. After investigating the extent to which this more general concept retains the basic properties of discriminator varieties, we give both an equational and a purely algebraic characterization of quasi-discriminator ...
PAOLI, FRANCESCO +3 more
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Smooth Stable Maps of Discriminant Varieties
Proceedings of the London Mathematical Society, 1985In this series of papers (see also the two following reviews) we classify certain smooth stable maps and then give a number of applications of the classification. Let \(\Delta\), \(O\subset R^ k\), O denote the germ of the discriminant variety of a singularity of type \(A_ k\) at the origin 0. In Commun. Pure Appl. Math.
Bruce, J.W., Giblin, P.J.
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Imperfect Price Discrimination and Variety
The Journal of Business, 1983In many environments a monopolist can price discriminate even though consumers can select any option offered by the firm. Though consumers seem indistinguishable to the firm, the monopolist can discriminate by exploiting its knowledge of the joint distribution of agents' characteristics (in this paper, locations and reservation prices) to offer the ...
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Discriminator polynomials and arithmetical varieties
Algebra Universalis, 1985The author proves the following theorem: Given a locally finite semisimple arithmetical variety. For each natural number n there exists a term \(t_ n(x,y,z,u_ 1,...,u_ n)\) such that in any n-generated simple algebra, with generators \(s_ 1,...,s_ n\) the polynomial \(t_ n(x,y,z,s_ 1,...,s_ n)\) is a discriminator polynomial. A corollary of this is the
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Compact algebras in discriminator varieties
Algebra Universalis, 1993It is proved that the compact members of a discriminator variety of topological algebras are precisely the products of finite simple algebras.
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Stable mappings of discriminant varieties
Mathematical Proceedings of the Cambridge Philosophical Society, 1988Smooth mappings defined on discriminant varieties of -versal unfoldings of isolated singularities arise in many interesting geometrical contexts, for example when classifying outlines of smooth surfaces in ℝ3 and their duals, or wave-front evolution [1, 2, 5]. In three previous papers we have classified various stable mappings on discriminants.
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Vector Fields on Discriminants and Bifurcation Varieties
Bulletin of the London Mathematical Society, 1985Let f: (\({\mathbb{C}}^ n,0)\to ({\mathbb{C}},0)\) be a holomorphic map germ and B the associated full bifurcation variety. One knows that B is a hypersurface germ, and a result of \textit{H. Terao} in Math. Ann. 263, 313- 321 (1983; Zbl 0497.32016) states that the module of logarithmic vector fields tangent to B is free over the ring of holomorphic ...
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The word problem for discriminator varieties
Siberian Mathematical Journal, 1992See the review in Zbl 0756.08004.
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