Non-associative algebras. I: Fundamental concepts and isotopy

From MaRDI portal
Publication:2653015

DOI10.2307/1968960zbMath0061.04807OpenAlexW2333917077MaRDI QIDQ2653015

A. Adrian Albert

Publication date: 1942

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1968960




Related Items (73)

Primitive and Non Primitive Finite SemifieldsCentral isotopes of \((-1,1) \)-algebrasTernary mappings of triangular algebras\(S_3\) invariants of finite dimensional real division algebrasAlbert algebras over and other ringsReal commutative division algebrasEinreihige RingeIsotopes of Hurwitz algebrasSome algebraic relations between involutions, convolutions, and correlations, with applications to holographic memoriesFinite semifields: A brief history and current directionsAbsolute Valued Strongly Power-Associative Triple SystemsThe double sign of a real division algebra of finite dimension greater than oneRole modeling in mathematics: The case of Leonard Eugene Dickson (1874-1954)Properties of ODEs and PDEs in algebrasSome recent directions in finite semifieldsIsomorphism and isotopism classes of filiform Lie algebras of dimension up to seven over finite fieldsA historical perspective of Tian's evolution algebrasTrialitarian triplesIsotopes of prime \((-1,1)\)- and Jordan algebrasSkewed comultiplications in genetic coalgebrasThe Jacobson radical of an evolution algebraAlgebraic computation of genetic patterns related to three-dimensional evolution algebrasIsotopisms of Jordan AlgebrasOne-sided isotopes and homotopes of right-alternative algebrasOne-sided isotopes of finite-dimensional algebrasAbraham Adrian Albert 1905-1972Finite semifields and nonsingular tensorsDivisible designs and semi-regular relative difference sets from additive Hadamard cocyclesQuasigroupes parastrophiques. Expressions et identitésIsotopes of octonion algebras, \(\mathbf{G}_{2}\)-torsors and trialityOn automorphisms of groups, rings, and algebrasIsotopes of alternative algebras of characteristic different from4-dimensionale QuasikompositionsalgebrenExhaustive construction of four-dimensional unital division algebras over finite fields with Kleinian automorphism groupHigher homotopies between quasigroupsThe classification of two-dimensional nonassociative algebrasComputation of isotopisms of algebras over finite fields by means of graph invariantsDuplication methods for embeddings of real division algebrasIsotopism and isomorphism classes of certain Lie algebras over finite fieldsAlbert's Construction for Semifields of Even OrderSmooth projective planesQuantum quasigroups and the quantum Yang-Baxter equationOn the classification of 3-dimensional non-associative division algebras over \(p\)-adic fieldsComplex Structures in Real Algebras. I. Two-Dimensional Commutative CaseClassification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any fieldOn the isomorphisms between evolution algebras of graphs and random walksCLASSIFICATION, AUTOMORPHISM GROUPS AND CATEGORICAL STRUCTURE OF THE TWO-DIMENSIONAL REAL DIVISION ALGEBRASThe Wedderburn principal theorem for alternative algebrasConcerning automorphisms of non-associative algebrasThe isotopically simple algebras with a nil-basisFunktionalgleichungen in Vektorräumen, Kompositionsalgebren und Systeme partieller DifferentialgleichungenEine Identität fünften Grades, der gewisse Isotope von Kompositions- Algebren genügenHomotopes of finite-dimensional algebrasSome questions concerning alternative ringsCubical species and nonassociative algebrasHomotopes of alternative algebrasFunktionalgleichungen in reellen Vektorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des NeutrinosQuasi composition algebrasA class of nilpotent evolution algebrasA computational algebraic geometry approach to enumerate Malcev magma algebras over finite fieldsIsotopes of simple algebras of arbitrary dimensionZweiseitige Ideale in Algebren endlichen RangesUnnamed ItemEinige Bemerkungen über DivisionsalgebrenOn a construction for division algebras of order 16The average size of the kernel of a matrix and orbits of linear groups. II: DualityStructure and representation of nonassociative algebrasA historical perspective of the theory of isotopismsDivision algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesicsDivision, Adjoints, and Dualities of Bilinear MapsThe structure group of an alternative algebraThe Radical of a Non-Associative RingOn the Ideals and Automorphisms of Non-Associative Rings




This page was built for publication: Non-associative algebras. I: Fundamental concepts and isotopy