Results 31 to 40 of about 189,405 (333)
A commutative Noetherian Hopf algebra over a field is finitely generated
Let k be an arbitrary field and H a commutative Hopf algebra over k. We give a short proof of the fact that H is Noetherian if and only if H is finitely generated as a k-algebra. In [4] M.
R. Molnar
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On the constructions of Tits and Faulkner: an isomorphism theorem
Classification theory guarantees the existence of an isomorphism between any two E8's, at least over an algebraically closed field of characteristic 0.
Sudhir R. Nath
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ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP
It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.
M. B. Smirnov
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HH∗−intuitionistic heyting valued Ω-algebra and homomorphism [PDF]
Intuitionistic Logic was introduced by L. E. J. Brouwer in[1] and Heyting algebra was defined by A. Heyting to formalize the Brouwer’s intuitionistic logic[4]. The concept of Heyting algebra has been accepted as the basis for intuitionistic propositional
Sinem Tarsuslu(Yılmaz)+1 more
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基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)
We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德)+1 more
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A standard form in (some) free fields: How to construct minimal linear representations
We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn and Reutenauer and enables the use of linear algebra ...
Schrempf Konrad
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Basis of the Identities of the Matrix Algebra of Order Two over a Field of Characteristic p ≠ 2☆
In this paper we prove that the polynomial identities of the matrix algebra of order 2 over an infinite field of characteristic p ≠ 2 admit a finite basis.
P. Koshlukov
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Unicity for representations of the Kauffman bracket skein algebra [PDF]
This paper resolves the unicity conjecture of Bonahon and Wong for the Kauffman bracket skein algebras of all oriented finite type surfaces at all roots of unity.
C. Frohman+2 more
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Lattices of Annihilators in Commutative Algebras Over Fields
Let K be any field and L be any lattice. In this note we show that L is a sublattice of annihilators in an associative and commutative K-algebra. If L is finite, then our algebra will be finite dimensional over K.
Jastrzebska M., Krempa J.
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Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages [PDF]
In the past two decades, some major efforts have been made to reduce exact (e.g. integer, rational, polynomial) linear algebra problems to matrix multiplication in order to provide algorithms with optimal asymptotic complexity.
J. Dumas, Pascal Giorgi, Clément Pernet
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