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Restricted Priestley Dualities and Discriminator Varieties [PDF]
Studia Logica, 2017 Anyone who has ever worked with a variety~$\boldsymbol{\mathscr{A}}$ of algebras with a reduct in the variety of bounded distributive lattices will know a restricted Priestley duality when they meet one---but until now there has been no abstract definition. Here we provide one.
Brian Davey, Asha Gair
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The Subquasivariety Lattice of a Discriminator Variety
Advances in Mathematics, 2001 The quaterny discriminator on a set \(M\) is the mapping \(d:M^4\to M\) defined by \(d(x,y,z,w):=z\) if \(x=y\) and \(d(x,y,z,w):=w\) otherwise. A variety is called a discriminator variety if it is generated by a class \({\mathbf K}\) of algebras of the same type such that there exists a term representing the quaternary discriminator on every algebra ...
Javier Blanco +2 more
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Decidable Discriminator Varieties from Unary Classes [PDF]
Transactions of the American Mathematical Society, 1993 Let K \mathcal {K} be a class of (universal) algebras of fixed type. K t {\mathcal {K}^t} denotes the class obtained by augmenting each member of K \mathcal {K} by the ternary discriminator function (
Ross Willard
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Characterization of discriminator varieties [PDF]
Proceedings of the American Mathematical Society, 2000 The discriminator function on a set \(A\) is the function \(t:A^3\to A\) defined by \(t(a,b,c)=a\) if \(a\neq b\), and \(t(a,b,c)=c\) if \(a=b\). A ternary term \(t(x,y,z)\) is called a discriminator term for algebra \({\mathcal A}\) if it represents the discriminator function on \(A\).
Diego Vaggione
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Dual binary discriminator varieties
The Art of Discrete and Applied Mathematics, 2019 Summary: Left normal bands, strongly distributive skew lattices, implicative BCS-algebras, skew Boolean algebras, skew Boolean intersection algebras, and certain other non-commutative structures occur naturally as term reducts in the study of ternary discriminator algebras and the varieties that they generate, giving rise thereby to various classes of ...
Robert J Bignall, Matthew Spinks
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Decompositions of dual discriminator varieties [PDF]
Bulletin of the Australian Mathematical Society, 1991 A necessary and sufficient condition for a dual discriminator variety to be the product of a discriminator variety and a dual discriminator variety is given, along with an example of such a variety.
Robert J Bignall
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Equationally Complete Discriminator Varieties of Groupoids [PDF]
Proceedings of the American Mathematical Society, 1984 J. Kalicki proved that there are continuum many equationally complete varieties of groupoids. In this note we give a constructive proof of this by defining a countable partial groupoid which has continuum many completions such that each completion generates an equationally complete variety, and no two distinct completions generate the same variety ...
Robert W. Quackenbush
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Bounded lattice structured discriminator varieties
Portugaliae Mathematica, 2010 This paper is concerned with bounded lattice structured discriminator varieties, i.e., discriminator varieties interpreting the variety L01 of bounded lattices.
Margarita Ramalho
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Hybrid GAN-LSTM framework for diabetic foot ulcer image synthesis and automated diagnosis [PDF]
Frontiers in MedicineIntroductionThe application of artificial intelligence (AI) in the analysis of medical images faces significant challenges, chiefly due to the scarcity of well-labeled datasets that are crucial for training sophisticated diagnostic models.
Abinaya Vina +7 more
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Deep atrous context convolution generative adversarial network with corner key point extracted feature for nuts classification [PDF]
Scientific ReportsDeep learning-based nut classification has emerged as a viable way to automate the detection and categorization of different nut varieties in the food processing and agriculture sectors.
M. Shyamala Devi +3 more
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