Results 121 to 130 of about 218,663 (179)
Matrix convexity and unitary power dilations of Toeplitz-contractive operator tuples. [PDF]
Acta Sci MathFarenick D.
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1992
Abstract This chapter is an introduction to the primary concepts, constructions and results about algebras, their isomorphism and axiomatization. As with other chapters in this Handbook, it is composed with the aims of teaching the mathematical theory and explaining its relevance to problems in computer science.
K Meinke, J V Tucker
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Abstract This chapter is an introduction to the primary concepts, constructions and results about algebras, their isomorphism and axiomatization. As with other chapters in this Handbook, it is composed with the aims of teaching the mathematical theory and explaining its relevance to problems in computer science.
K Meinke, J V Tucker
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2001
Abstract In this chapter, we present some very general ideas from the field initiated in its modem form by Garrett Birkhoff and called by him “universal algebra. “ The fundamental notion of universal algebra is that of an algebra. Basically, an algebra is a set together with various operations that take elements of that set and yield ...
J Michael Dunn, Gary M Hardegree
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Abstract In this chapter, we present some very general ideas from the field initiated in its modem form by Garrett Birkhoff and called by him “universal algebra. “ The fundamental notion of universal algebra is that of an algebra. Basically, an algebra is a set together with various operations that take elements of that set and yield ...
J Michael Dunn, Gary M Hardegree
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Journal of Soviet Mathematics, 1991
The survey is based on the material published in the Universal Algebra section of Referativnyĭ Zhurnal Matematika in the period from 1976 till 1988; only the results and the directions are included that were not covered by several similar surveys and are the most promising ones according to the author's opinion.
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The survey is based on the material published in the Universal Algebra section of Referativnyĭ Zhurnal Matematika in the period from 1976 till 1988; only the results and the directions are included that were not covered by several similar surveys and are the most promising ones according to the author's opinion.
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Universal enveloping conformal algebras
Selecta Mathematica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Algebra and Computation, 2009
We show that a nontrivial example of universal algebra appears in quantum field theory. For a unital C *-algebra [Formula: see text], a sector is a unitary equivalence class of unital *-endomorphisms of [Formula: see text]. We show that the set [Formula: see text] of all sectors of [Formula: see text] is a universal algebra with an N-ary sum which is ...
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We show that a nontrivial example of universal algebra appears in quantum field theory. For a unital C *-algebra [Formula: see text], a sector is a unitary equivalence class of unital *-endomorphisms of [Formula: see text]. We show that the set [Formula: see text] of all sectors of [Formula: see text] is a universal algebra with an N-ary sum which is ...
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Pattern Recognition Letters, 1984
Summary: The Universal Imaging Algebra is introduced as a many sorted algebra. This algebra involves numerous new and conventional operators useful in image analysis and recognition. Among the operators defined and illustrated are translation, thresholding, erosion, counting, and the covariance function.
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Summary: The Universal Imaging Algebra is introduced as a many sorted algebra. This algebra involves numerous new and conventional operators useful in image analysis and recognition. Among the operators defined and illustrated are translation, thresholding, erosion, counting, and the covariance function.
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Recoupling Lie algebra and universal ω-algebra
Journal of Mathematical Physics, 2004We formulate the algebraic version of recoupling theory suitable for commutation quantization over any gradation. This gives a generalization of graded Lie algebra. Underlying this is the new notion of an ω-algebra defined in this paper. ω-algebra is a generalization of algebra that goes beyond nonassociativity.
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Mathematische Annalen, 2000
Let \(K\) be a field and let \(R\) be a homogeneous \(K\)-algebra, i.e. an algebra of the form \(R=K[x_1,\dots,x_n]/I\) where \(I\) is a homogeneous ideal with respect to deg \(x_i = 1\), the standard grading. A homogeneous algebra \(R\) is said to be universally Koszul if every ideal of \(R\) generated by linear forms has a linear \(R\)-free ...
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Let \(K\) be a field and let \(R\) be a homogeneous \(K\)-algebra, i.e. an algebra of the form \(R=K[x_1,\dots,x_n]/I\) where \(I\) is a homogeneous ideal with respect to deg \(x_i = 1\), the standard grading. A homogeneous algebra \(R\) is said to be universally Koszul if every ideal of \(R\) generated by linear forms has a linear \(R\)-free ...
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