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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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Free algebras in discriminator varieties
Algebra Universalis, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andréka, H., Jónsson, B., Németi, I.
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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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Skew Boolean algebras and discriminator varieties
Algebra Universalis, 1995The authors introduce and investigate the class of skew Boolean algebras which are also meet semilattices under the natural skew lattice partial order. The class has connections with two other classes of algebras, namely implicative BCK-algebras and algebras in discriminator varieties.
Bignall, R. J., Leech, J. E.
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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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Free algebras in discriminator varieties
Algebra Universalis, 1995The main result of this paper is the representation of the free algebras of a certain class of discriminator varieties, called \({\mathcal M}\)-spectral varieties by the author, as certain Boolean products. \({\mathcal M}\)-spectral varieties are defined as follows: If \({\mathcal L}\) is a language of algebras, \({\mathcal M}\) a class of \({\mathcal ...
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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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Dual discriminator subvarieties of a variety
Algebra Universalis, 1995The dual discriminator function \(d(x,y,z)\) on a set \(A\) is defined as \(d (a, b, c) = a\) if \(a = b\) and \(d(a,b,c) = c\) if \(a \neq b\). Let \(q(x,y,z)\) be a term of a variety \({\mathcal V}\) of algebras. Then the subvariety \({\mathcal X}\) of \({\mathcal V}\) generated by all algebras in \({\mathcal V}\) where \(q(x,y,z)\) yields the dual ...
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