Results 31 to 40 of about 435,085 (248)
A Combinatorial Discussion on Finite Dimensional Leavitt Path Algebras [PDF]
, 2012 Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings.
Esin, Songul +7 more
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Normal Division Algebras Over a Modular Field [PDF]
Transactions of the American Mathematical Society, 1934 and that there exist inseparable extensions F(x) of F if and only if some quantity a of F is not the pth power of any quantity of F. An infinite field F is called perfect if either F is non-modular or every quantity of F has the form fP where p is the characteristic of F and f is in F.
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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 +2 more
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Noncommutative Geometry and Gauge Theory on Fuzzy Sphere [PDF]
, 2000 The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined.
Carow-Watamura, Ursula +1 more
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On the constructions of Tits and Faulkner: an isomorphism theorem
International 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
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ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP
Наука 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
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Projective schur algebras over a field of positive characteristic [PDF]
Bulletin of the Australian Mathematical Society, 1998 If the characteristic of a field K is not zero then the Schur group S(K) = 0. In this paper we ask a similar question for the projective Schur group PS(K) and prove that the subgroup of PS(K) consisting of radical algebras is trivial. This disproves the conjecture that every projective Schur algebra is similar to a radical algebra.
Choi, Eunmi, Lee, Heisook
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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) +1 more
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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) +1 more
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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
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