Results 31 to 40 of about 189,405 (333)

A commutative Noetherian Hopf algebra over a field is finitely generated

open access: yes, 1975
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
semanticscholar   +1 more source

On the constructions of Tits and Faulkner: an isomorphism theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
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
doaj   +1 more source

ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP

open access: yesНаука и техника, 2006
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
doaj   +1 more source

HH∗−intuitionistic heyting valued Ω-algebra and homomorphism [PDF]

open access: yesJournal of Hyperstructures, 2017
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
doaj   +1 more source

基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2016
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
doaj   +1 more source

A standard form in (some) free fields: How to construct minimal linear representations

open access: yesOpen Mathematics, 2020
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
doaj   +1 more source

Basis of the Identities of the Matrix Algebra of Order Two over a Field of Characteristic p ≠ 2☆

open access: yes, 2001
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
semanticscholar   +1 more source

Unicity for representations of the Kauffman bracket skein algebra [PDF]

open access: yesInventiones Mathematicae, 2017
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
semanticscholar   +1 more source

Lattices of Annihilators in Commutative Algebras Over Fields

open access: yesDemonstratio Mathematica, 2015
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.
doaj   +1 more source

Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages [PDF]

open access: yesTOMS, 2006
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
semanticscholar   +1 more source

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