Results 41 to 50 of about 115,744,936 (297)
Symmetric subgroups in modular group algebras [PDF]
This preprint is translated from the original journal publication in Russian: A. Konovalov and A. Tsapok, Symmetric subgroups of the normalised unit group of the modular group algebra of a finite p-group, Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004),
Krivokhata, A. G., Konovalov, Alexander
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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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Graded Identities For The Algebra Of N × N Upper Triangular Matrices Over An Infinite Field
We consider the algebra Un(K) of n × n upper triangular matrices over an infinite field K equipped with its usual ℤ n-grading. We describe a basis of the ideal of the graded polynomial identities for this algebra.135517526Andrews, G., The theory of ...
Valenti A., Koshlukov P.
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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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Gradings on Algebras over Algebraically Closed Fields [PDF]
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.
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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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p-Algebras over an algebraic function field over a perfect field
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.
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Simple Subrings of Algebras Over Fields [PDF]
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.
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Uniqueness of A-infinity structures and Hochschild cohomology [PDF]
Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniqueness of derived A-infinity algebra structures in the sense of Sagave.
Whitehouse, Sarah +5 more
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On derivations of linear algebras of a special type
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 +2 more
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