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7,564
Hopf Algebra Extensions and Cohomology
"... Abstract. This is an expository paper on ‘abelian ’ extensions of (quasi) Hopf algebras, which can be managed by the abelian cohomology, with emphasis on the author’s recent results which are motivated by an exact sequence due to George Kac. The cohomology plays here an important role in constructi ..."
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Cited by 12 (0 self)
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Abstract. This is an expository paper on ‘abelian ’ extensions of (quasi) Hopf algebras, which can be managed by the abelian cohomology, with emphasis on the author’s recent results which are motivated by an exact sequence due to George Kac. The cohomology plays here an important role
Algebraic Extensions for Symbolic Summation
, 2011
"... The main result of this thesis is an effective method to extend Karr’s symbolic summation framework to algebraic extensions. These arise, for example, when working with expressions involving (−1) n. An implementation of this method, including a modernised version of Karr’s algorithm is also presente ..."
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The main result of this thesis is an effective method to extend Karr’s symbolic summation framework to algebraic extensions. These arise, for example, when working with expressions involving (−1) n. An implementation of this method, including a modernised version of Karr’s algorithm is also
Algebraic extensions in free groups
 TRENDS MATH., BIRKHÄUSER
, 2007
"... The aim of this paper is to unify the points of view of three recent and independent papers (Ventura 1997, Margolis, Sapir and Weil 2001 and Kapovich and Miasnikov 2002), where similar modern versions of a 1951 theorem of Takahasi were given. We develop a theory of algebraic extensions for free grou ..."
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Cited by 11 (5 self)
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The aim of this paper is to unify the points of view of three recent and independent papers (Ventura 1997, Margolis, Sapir and Weil 2001 and Kapovich and Miasnikov 2002), where similar modern versions of a 1951 theorem of Takahasi were given. We develop a theory of algebraic extensions for free
Algebraic Extensions of Normed Algebras
, 2000
"... Disclaimer: This dissertation does not contain plagiarised material; except where otherwise stated all theorems are the author’s. ..."
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Disclaimer: This dissertation does not contain plagiarised material; except where otherwise stated all theorems are the author’s.
Algebraic Extensions Of Graded And Valued Fields
"... this paper is to describe an algebraic extension theory for graded fields analogous to what is known for valued fields, and then to spell out the correspondence between tame extensions of graded fields and Henselian valued fields. This has the benefit that graded fields are easier to work with for m ..."
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Cited by 14 (9 self)
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this paper is to describe an algebraic extension theory for graded fields analogous to what is known for valued fields, and then to spell out the correspondence between tame extensions of graded fields and Henselian valued fields. This has the benefit that graded fields are easier to work
Algebraic extension of Gaudin models
 J. Nonlinear Math. Phys
, 2005
"... Abstract We perform a InönüWigner contraction on Gaudin models, showing how the integrability property is preserved by this algebraic procedure. Starting from Gaudin models we obtain new integrable chains, that we call Lagrange chains, associated to the same linear rmatrix structure. We give a ge ..."
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Cited by 2 (2 self)
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Abstract We perform a InönüWigner contraction on Gaudin models, showing how the integrability property is preserved by this algebraic procedure. Starting from Gaudin models we obtain new integrable chains, that we call Lagrange chains, associated to the same linear rmatrix structure. We give a
Algebraic laws for nondeterminism and concurrency
 Journal of the ACM
, 1985
"... Abstract. Since a nondeterministic and concurrent program may, in general, communicate repeatedly with its environment, its meaning cannot be presented naturally as an input/output function (as is often done in the denotational approach to semantics). In this paper, an alternative is put forth. Firs ..."
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Cited by 608 (13 self)
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observation congruence class. The paper demonstrates, for a sequence of simple languages expressing finite (terminating) behaviors, that in each case observation congruence can be axiomatized algebraically. Moreover, with the addition of recursion and another simple extension, the algebraic language described
An Extended Set of Fortran Basic Linear Algebra Subprograms
 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
, 1986
"... This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions are targeted at matrixvector operations which should provide for efficient and portable implementations of algorithms for high performance computers. ..."
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Cited by 523 (68 self)
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This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions are targeted at matrixvector operations which should provide for efficient and portable implementations of algorithms for high performance computers.
Hopf Algebra Extensions and Monoidal Categories
, 2002
"... Tannaka reconstruction provides a close link between monoidal categories and (quasi)Hopf algebras. We discuss some applications of the ideas of Tannaka reconstruction to the theory of Hopf algebra extensions, based on the following construction: For certain inclusions of a Hopf algebra into a coq ..."
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Cited by 3 (1 self)
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Tannaka reconstruction provides a close link between monoidal categories and (quasi)Hopf algebras. We discuss some applications of the ideas of Tannaka reconstruction to the theory of Hopf algebra extensions, based on the following construction: For certain inclusions of a Hopf algebra into a
GENERALIZING CIRCLES OVER ALGEBRAIC EXTENSIONS
, 2009
"... This paper deals with a family of spatial rational curves that were introduced in 1999 by Andradas, Recio, and Sendra, under the name of hypercircles, as an algorithmic cornerstone tool in the context of improving the rational parametrization (simplifying the coefficients of the rational functions, ..."
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, when possible) of algebraic varieties. A real circle can be defined as the image of the real axis under a Moebius transformation in the complex field. Likewise, and roughly speaking, a hypercircle can be defined as the image of a line (“the Kaxis”) in an ndegree finite algebraic extension K(α) ≈Kn
Results 1  10
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