Results 31 to 40 of about 18,642 (313)

On the group of automorphisms of the algebra of plural numbers

Дифференциальная геометрия многообразий фигур, 2023
The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov, G. A. Sultanova, O. A. Monakhova   +2 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)

Zhejiang 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), LIFang(李方)   +1 more
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Gradings on Algebras over Algebraically Closed Fields [PDF]

, 2016
The classification, both up to isomorphism or up to equivalence, of the gradings on a finite dimensional nonassociative algebra A over an algebraically closed field F, such that its group scheme of automorphisms is smooth, is shown to be equivalent to the corresponding problem for the scalar extension A_K for any algebraically closed field extension K.
openaire   +2 more sources

Simple Subrings of Algebras Over Fields [PDF]

Proceedings of the American Mathematical Society, 1981
In this note we shall prove that if A is a not necessarily associative algebra over a field K and S is a simple subring of A with centroid F then dim/r R < dimjf A. Since we do not use polynomial identities in a proof of this result then we have obtained an affirmative answer to the 11th question from (2), posed by I. N. Herstein.
openaire   +1 more source

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

Open 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

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

Journal 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), G¨okhan C¸ uvalcıo˘gl   +1 more
doaj   +1 more source

p-Algebras over an algebraic function field over a perfect field

Journal of Algebra, 1986
Verf. beweist folgenden Satz: Sei K ein algebraischer Funktionen-Körper in r Variablen über einem vollkommenen Körper. Jede p-Algebra A über K ist Brauer-äquivalent dem Kroneckerprodukt von r zyklischen Divisionsalgebren \(D_ i\) mit Exponent \(D_ i=Index D_ i\) und Exponent \(D_ i\leq Exponent A\). Für \(r=1\) ist das ein bekannter Satz von A.
openaire   +2 more sources

Basis Of The Identities Of The Matrix Algebra Of Order Two Over A Field Of Characteristic P ≠ 2

, 2015
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. We exhibit a finite basis consisting of four identities, and in "almost" all cases for p we describe
Koshlukov, P, Koshlukov P.
core   +1 more source

Elementary Lie Algebras and Lie A-Algebras. [PDF]

, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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On derivations of linear algebras of a special type

Дифференциальная геометрия многообразий фигур
In this work, Lie algebras of differentiation of linear algebra, the op­eration of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov , O. A. Monakhova, O. V. Bolotnikova   +2 more
doaj   +1 more source