Abraham Adrian Albert
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American mathematician
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Abraham Adrian Albertmathematics Degrees
Mathematics
#1355
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Measure Theory
#375
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Mathematics
Abraham Adrian Albert's Degrees
- PhD Mathematics University of Chicago
Why Is Abraham Adrian Albert Influential?
(Suggest an Edit or Addition)According to Wikipedia, Abraham Adrian Albert was an American mathematician. In 1939, he received the American Mathematical Society's Cole Prize in Algebra for his work on Riemann matrices. He is best known for his work on the Albert–Brauer–Hasse–Noether theorem on finite-dimensional division algebras over number fields and as the developer of Albert algebras, which are also known as exceptional Jordan algebras.
Abraham Adrian Albert's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Structure of Algebras (1939) (460)
- Power-associative rings (1948) (284)
- Modern Higher Algebra (1937) (152)
- Non-Associative Algebras: I. Fundamental Concepts and Isotopy (1942) (137)
- Generalized twisted fields. (1961) (107)
- A Structure Theory for Jordan Algebras (1947) (98)
- On matrices of trace zeros. (1957) (95)
- On nonassociative division algebras (1952) (95)
- On a Certain Algebra of Quantum Mechanics (1934) (94)
- A theory of power-associative commutative algebras (1950) (93)
- Fundamental Concepts of Higher Algebra (1958) (92)
- Absolute Valued Real Algebras (1947) (89)
- Symmetric and alternate matrices in an arbitrary field. I (1938) (86)
- An Introduction to Finite Projective Planes (1970) (81)
- Quadratic Forms Permitting Composition (1942) (81)
- On Jordan algebras of linear transformations (1946) (61)
- Absolute-valued algebraic algebras (1949) (60)
- On Reduced Exceptional Simple Jordan Algebras (1957) (53)
- The Structure of Right Alternative Algebras (1954) (45)
- On Right Alternative Algebras (1949) (42)
- The Matrices of Factor Analysis. (1944) (38)
- On ordered algebras (1940) (37)
- Two element generation of the projective unimodular group (1958) (37)
- The radical of a non-associative algebra (1942) (36)
- Structure of algebras, (American Mathematical Society Colloquium publications) (1939) (35)
- Tensor products of quaternion algebras (1972) (34)
- A determination of all normal division algebras over an algebraic number field (1932) (34)
- An Inductive Proof of Descartes' Rule of Signs (1943) (33)
- On commutative power-associative algebras of degree two (1953) (33)
- A Theory of Trace-Admissible Algebras. (1949) (32)
- Involutorial Simple Algebras and Real Riemann Matrices (1935) (31)
- Studies in modern algebra (1963) (30)
- A Construction of Exceptional Jordan Division Algebras (1958) (30)
- The Minimum Rank of a Correlation Matrix. (1944) (29)
- Normal division algebras of degree four over an algebraic field (1932) (28)
- A Solution of the Principal Problem in the Theory of Riemann Matrices (1934) (28)
- Finite noncommutative division algebras (1958) (28)
- A construction of non-cyclic normal division algebras (1932) (26)
- On the Wedderburn norm condition for cyclic algebras (1931) (25)
- On the Construction of Riemann Matrices II (1934) (20)
- On Simple Alternative Rings (1952) (20)
- A quadratic form problem in the calculus of variations (1938) (20)
- On cyclic fields (1935) (19)
- Involutorial Simple Algebras and Real Riemann Matrices. (1934) (19)
- Cyclic fields of degree $p^n$ over $F$ of characteristic $p$ (1934) (18)
- A note of correction (1949) (15)
- On p-Adic Fields and Rational Division Algebras (1940) (15)
- Review: D. E. Littlewood, The Theory of Group Characters (1941) (14)
- Two element generation of a separable algebra (1944) (14)
- A note on normal division algebras of prime degree (1938) (13)
- A Determination of the Integers of All Cubic Fields (1930) (13)
- On a homomorphism property of certain Jordan algebras (1959) (13)
- The Wedderburn Principal Theorem For Jordan Algebras (1947) (13)
- On exceptional Jordan division algebras. (1965) (13)
- Leonard Eugene Dickson 1874–1954 (1955) (11)
- Non-cyclic algebras with pure maximal subfields (1938) (11)
- A note on the exceptional Jordan algebra. (1950) (11)
- On normal Kummer fields over a non-modular field (1934) (10)
- Integral domains of rational generalized quaternion algebras (1934) (10)
- Simple algebras of degree ^{} over a centrum of characteristic (1936) (9)
- A determination of all normal division algebras in sixteen units (1929) (9)
- On direct products (1931) (9)
- Quadratic Null Forms Over a Function Field (1938) (9)
- The Integers of Normal Quartic Fields (1930) (9)
- Addendum to the paper on partially stable algebras (1958) (8)
- Introduction to Algebraic Theories (1941) (8)
- On partially stable algebras (1957) (8)
- The collected mathematical papers of Leonard Eugene Dickson (1975) (8)
- Non-cyclic algebras of degree and exponent four (1933) (8)
- Normal division algebras of degree ^{} over of characteristic (1936) (7)
- New results on associative division algebras (1967) (7)
- Non-Associative Algebras: II. New Simple Algebras (1942) (7)
- ON INVOLUTORIAL ALGEBRAS. (1955) (7)
- On the Orthogonal Equivalence of Sets of Real Symmetric Matrices (1958) (7)
- New results in the theory of normal division algebras (1930) (7)
- Division algebras over an algebraic field (1931) (7)
- A Note on the Poincare Theorem on Impure Riemann Matrices (1935) (7)
- The Integers Represented by Sets of Ternary Quadratic Forms (1933) (6)
- Solid analytic geometry (1950) (6)
- A property of ordered rings (1957) (6)
- Correction. The Structure of Leucenol. I. (1945) (6)
- Rational normal matrices satisfying the incidence equation (1953) (6)
- Algebras Derived by Non-Associative Matrix Multiplication (1944) (6)
- Normal Division Algebras of Degree 4 Over F of Characteristic 2 (1934) (5)
- Normal division algebras over a modular field (1934) (5)
- ON THE NUCLEI OF A SIMPLE JORDAN ALGEBRA. (1963) (5)
- On Certain Trinomial Equations in Finite Fields (1957) (5)
- On the Construction of Cyclic Algebras with a Given Exponent (1932) (5)
- Normalized Integral Bases of Algebraic Number Fields I (1937) (5)
- The Structure of Matrices with any Normal Division Algebra of Multiplications (1931) (4)
- On direct products, cyclic division algebras, and pure Riemann matrices (1931) (3)
- On associative division algebras (1968) (3)
- The structure of pureRiemann matrices with non-commutative multiplication algebras (1930) (3)
- Restricted Rotation in Aryl Amines. III. Preparation and Resolution of N-Succinyl-1-methylamino-2-methylnaphthalene and N-Succinyl-1-methylamino-4-chloro-2-methylnaphthalene1 (1942) (3)
- MAA Studies in Mathematics, Volume 2, Studies in Modern Algebra. (1964) (3)
- A note on normal division algebras of order sixteen (1932) (2)
- On normal division algebras of type $R$ in thirty-six units (1931) (2)
- Algebras of Degree 2 e and Pure Riemann Matrices (1932) (2)
- On Cyclic Algebras (1938) (2)
- A Rule for Computing the Inverse of a Matrix (1941) (2)
- On normal simple algebras (1932) (2)
- A note on certain cyclic algebras (1970) (2)
- A Solvable Exceptional Jordan Algebra (1959) (2)
- A PROPERTY OF SPECIAL JORDAN ALGEBRAS. (1956) (2)
- A Normal form for Riemann Matrices (1965) (2)
- On Certain Imprimitive Fields of Degree p 2 Over P of Characteristic p (1934) (2)
- Division algebras over a function field (1941) (2)
- The Non-Existence of Pure Riemann Matrices with Normal Multiplication Algebras of Order Sixteen (1930) (2)
- THE NORM FORM OF A RATIONAL DIVISION ALGEBRA. (1957) (1)
- THE RANK FUNCTION OF ANY SIMPLE ALGEBRA. (1929) (1)
- On primary normal division algebras of degree eight (1933) (1)
- On the Structure of Normal Division Algebras (1)
- A necessary and sufficient condition for the non-equivalence of any two rational generalized quaternion division algebras (1930) (1)
- Normal division algebras over algebraic number fields not of finite degree (1933) (1)
- The Structure of Any Algebra Which is a Direct Product of Rational Generalized Quaternion Division Algebras (1)
- The collected mathematical papers (1)
- A note on cyclic algebras of order sixteen (1931) (1)
- Cyclic fields of degree eight (1933) (1)
- A note on an important theorem on normal division algebras (1930) (1)
- Determination of All Normal Division Algebras in Thirty-Six Units of Type R 2 (1930) (1)
- On the rank equation of any normal division algebra (1929) (1)
- On associative division algebras of prime degree (1965) (1)
- $p$-algebras over a field generated by one indeterminate (1937) (1)
- A Suggestion for a Simplified Trigonometry (1943) (1)
- On Universal Sets of Positive Ternary Quadratic Forms (1933) (1)
- Normal Division Algebras in 4 p 2 Units, p an Odd Prime (1)
- ON HERMITIAN OPERATORS OVER THE CAYLEY ALGEBRA. (1955) (1)
- Mathematics vs. Numerical Analysis. (1965) (1)
- A Construction of All Non-Commutative Rational Division Algebras of Order Eight (1930) (1)
- ON DIRECT PRODUCTS, CYCLIC DIVISION ALGEBRAS, AND PURE RIEMANN MATRICES. (1930) (1)
- The principal matrices of a Riemann matrix (1934) (0)
- Mathematics vs. Numerical Analysis (1965) (0)
- Rational division algebras (1939) (0)
- Normal Division Algebras of 2. (0)
- A note on the equivalence of algebras of degree two (1933) (0)
- The Group of the Rank Equation of Any Normal Division Algebra. (1928) (0)
- A note on the Dickson theorem on universal ternaries (1933) (0)
- Algebra: Algebra . By W. L. Ferrar. vi+202 pp. Oxford: Clarendon Press. 1941. (1941) (0)
- A note on matrices defining total real fields (1937) (0)
- The Chicago conference and seminar on algebra (1938) (0)
- Errata: “On direct products, cyclic division algebras, and pure Riemann matrices” [Trans.\ Amer.\ Math.\ Soc. 33 (1931), no. 1, 219–234; 1510586] (1931) (0)
- Finite groups : proceedings of a Symposium in Pure Mathematics of the American Mathematical Society, held in New York, April 23-24, 1959, cosponsored by The Institute for Defense Analysis (1959) (0)
- Discussions and Notes (1943) (0)
- Review: Emil Artin, Galois theory (1945) (0)
- THE AMERICAN MATHEMATICAL SOCIETY. (0)
- Normal Division Algebras of 22m (1931) (0)
- Normal Division Algebras Satisfying Mild Assumptions. (1928) (0)
- INVESTIGATIONS IN MATHEMATICS (1961) (0)
- International Congress of Mathematicians : Cambridge, Massachusetts, U.S.A. 1950 Conference in algebra (1950) (0)
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