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Displaying similar documents to “Isotone analogs of results by Mal'tsev and Rosenberg.”

On a characterization of the unit interval in terms of clones

Artur Barkhudaryan (1999)

Commentationes Mathematicae Universitatis Carolinae

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This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.

Some Operations on Quaternion Numbers

Bo Li, Xiquan Liang, Pan Wang, Yanping Zhuang (2009)

Formalized Mathematics

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In this article, we give some equality and basic theorems about quaternion numbers, and some special operations.

Upper bounds for the degrees of decomposable forms of given discriminant

K. Győry (1994)

Acta Arithmetica

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1. Introduction. In our paper [5] a sharp upper bound was given for the degree of an arbitrary squarefree binary form F ∈ ℤ[X,Y] in terms of the absolute value of the discriminant of F. Further, all the binary forms were listed for which this bound cannot be improved. This upper estimate has been extended by Evertse and the author [3] to decomposable forms in n ≥ 2 variables. The bound obtained in [3] depends also on n and is best possible only for n = 2. The purpose of the present paper...