Alfred W. Hales

Q: What Schools Are Affiliated With Alfred W. Hales

Alfred W. Hales is affiliated with the following schools: California Institute of Technology, University of California, Los Angeles

Alfred W. Hales's AcademicInfluence.com Rankings

Alfred W. Hales

Mathematics

#2352

World Rank

#3654

Historical Rank

#936

USA Rank

Measure Theory

#4027

World Rank

#4746

Historical Rank

#1144

USA Rank

mathematics Degrees

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Mathematics

Why Is Alfred W. Hales Influential?

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According to Wikipedia, Alfred Washington Hales is an American mathematician, a professor emeritus of mathematics at the University of California, Los Angeles, and one of the namesakes of the Hales–Jewett theorem. He was born in Pasadena, California, and is the older brother of R. Stanton Hales.

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Alfred W. Hales'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

Regularity and Positional Games (1963) (433)
On the non-existence of free complete Boolean algebras (1964) (59)
The structure of abelian p-groups given by certain presentations. II☆ (1969) (39)
Jordan decomposition and hypercentral units in integral group rings (1993) (29)
From a lattice to its ideal lattice (1974) (27)
Partial augmentations and jordan decomposition in group ring (1990) (16)
The structure of torsion abelian groups given by presentations (1968) (14)
The multiplicative Jordan decomposition in group rings. II (1998) (14)
Hypercube Tic-Tac-Toe (2002) (13)
Swan's theorem for binary tetranomials (2006) (13)
Maximally Nontransitive Dice (2018) (13)
The van den Berg–Kesten–Reimer operator and inequality for infinite spaces (2015) (12)
The second augmentation quotient of an integral group ring (1978) (11)
Integral group rings with Jordan decomposition (1991) (11)
Nonnegative Hall Polynomials (1993) (10)
Stable augmentation quotients of abelian groups (1985) (10)
Distributive Projective Lattices (1970) (9)
PRIMITIVE ROOTS OF UNITY IN H-MANIFOLDS. (1970) (8)
Augmentation Terminals of Finite Abelian Groups (1983) (7)
A generalization of Swan's theorem (1986) (7)
Dimension sugroups of metabelian groups. (1984) (6)
Irreducibles of Tetranomial Type (2003) (6)
The directed genus of the de Bruijn graph (2009) (5)
ON THE FACTORIZATION OF TRINOMIALS OVER GF 2 (1959) (4)
On enumerative equivalence of group elements (1968) (4)
Explicit error bounds for lattice Edgeworth expansions (2017) (3)
Random Walks on Visible Points (2018) (3)
Analogues of the Stacked Bases Theorem (1977) (3)
Partition representations of free lattices (1970) (3)
Generalized flags in p-groups (2000) (2)
Linear analogues of ultrafilters (1976) (2)
Groups of height four (1980) (2)
Ultrafilters and abelian groups (1976) (2)
Irreducible Coefficient Relations (2012) (1)
Review: Ph. Dwinger, On the Completeness of the Quotient Algebras of a Complete Boolean Algebra I (1968) (1)
Ernst G. Straus, 1922–1983 (1985) (1)
Corrigendum to “The multiplicative Jordan decomposition in group rings, II” [J. Algebra 316 (1) (2007) 109–132] (2012) (1)
Light matrices of prime determinant (2013) (1)
van den Berg--Kesten--Reimer inequality for infinite spaces (2015) (1)
Dwinger Ph. and Yaqub F. M.. Free extensions of sets of Boolean algebras. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings , series A, vol. 67 (1964), pp. 567–577; also Indagationes mathematicae, vol. 26 (1964), pp. 567–577. (1971) (1)
Dwinger Ph.. On the completeness of the quotient algebras of a complete Boolean algebra I. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A, vol. 61 (1958), pp. 448–456; also Indagationes mathematicae, vol. 20 (1958), pp. 448–456. (1969) (0)
Review: Roman Sikorski, On Extensions and Products of Boolean Algebras (1968) (0)
FROM A LATTICE TO ITS IDEAL (1974) (0)
Dwinger Ph.. A note on the completeness of factor algebras of α-complete Boolean algebras. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A, vol. 62 (1959), pp. 376–383; also Indagationes mathematicae, vol. 21 (1959), pp. 376–383. (1969) (0)
The American Mathematical Monthly (2018) (0)
Yaqub F. M.. Free extensions of Boolean algebras. Pacific journal of mathematics , vol. 13 (1963), pp. 761–771. (1968) (0)
The Wisdom of Solomon: The Genius and Legacy of Solomon Golomb (2022) (0)
Minimal density conjugation of binary matrices (2011) (0)
Puzzles in Memory of Solomon Golomb (2018) (0)
Brauer groups are not characterized by Ulm invariants (1986) (0)
Review: Ph. Dwinger, F. M. Yaqub, Free Extensions of Sets of Boolean Algebras (1971) (0)
Review: Ph. Dwinger, A Note on the Completeness of Factor Algebras of $\alpha$-Complete Boolean Algebras (1968) (0)
Problems for Solution: E1533-E1540 (1962) (0)
Review: F. M. Yaqub, Free Extensions of Boolean Algebras (1968) (0)
Random feedback shift registers and the limit distribution for largest cycle lengths (2019) (0)
Strongly Primitive Elements (2007) (0)
Maximally Nontransitive (2017) (0)
of the Bernoulli Society for Mathematical Statistics and Probability (2019) (0)
Groups Have Few Composition Series (1974) (0)

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Other Resources About Alfred W. Hales

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What Schools Are Affiliated With Alfred W. Hales?

Alfred W. Hales is affiliated with the following schools: