Alfred Foster
American mathematician
Alfred Foster 's AcademicInfluence.com Rankings

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Mathematics
Alfred Foster 's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Alfred Foster Influential?
(Suggest an Edit or Addition)According to Wikipedia, Alfred Leon Foster was an American mathematician. He was a professor at the University of California, Berkeley from 1934 until 1971. In 1932 he was an Invited Speaker at the ICM in Zürich. In 1934 he accepted a regular position at Berkeley. At that time Griffith Evans was Head of the Mathematics Department and was charged by President Sproul with building a first-class mathematics center, which he did. Alfred Foster and Charles Morrey were Evans' first two appointments. Except for subsequent sabbatical leaves, spent most notably in Freiburg and Tübingen, Foster served continuously at Berkeley until his retirement at the then-mandatory age of 67 in 1971.
Alfred Foster 's Published Works
Published Works
- Generalized “Boolean” theory of universal algebras (1953) (94)
- Semi-categorical algebras. II (1964) (55)
- Semi-categorical algebras. I (1964) (52)
- The identities of — and unique subdirect factorization within — classes of universal algebras (1955) (49)
- Generalized “Boolean” theory of universal algebras (1953) (48)
- Natural Systems. (1938) (39)
- Functional completeness in the small algebraic structure theorems and identities (1961) (37)
- The theory of Boolean-like rings (1946) (34)
- The idempotent elements of a commutative ring form a Boolean algebra; ring-duality and transformation theory (1945) (26)
- p-Rings and their Boolean-vector representation (1951) (21)
- Families of algebras with unique (sub-) direct factorization: Equational characterization of factorization (1966) (15)
- The generalized Chinese remainder theorem for universal algebras; subdirect factorization (1956) (15)
- An existence theorem for functionally complete universal algebras (1959) (14)
- Functional completeness in the small. II. Algebraic cluster theorem (1962) (12)
- Automorphisms and functional completeness in universal algebras (1969) (11)
- Semi-primal algebras; Characterization and normal-decomposition (1967) (11)
- Algebraic and equational semi-maximality; equational spectra. I (1966) (10)
- Congruence relations and functional completeness in universal algebras; Structure theory of hemi-primals, I. (1970) (10)
- On n-Ality Theories in Rings and their Logical Algebras, Including Tri-Ality Principle in Three Valued Logics (1950) (7)
- Total algebras and weak independence. II (1971) (7)
- Maximal idempotent sets in a ring with unit (1946) (7)
- ON THE FINITENESS OF FREE (UNIVERSAL) ALGEBRAS (1956) (6)
- Symmetric approach to commutative rings, with duality theorem: Boolean duality as special case (1944) (6)
- Generalized equational maximality and primal-in-the-small algebras (1962) (6)
- On rings in whichan(a)=a (1960) (6)
- A Dual-Symmetric Definition of Field (1945) (4)
- Ideals and their structure in classes of operational algebras (1956) (3)
- Homomorphisms and functional completeness. Hemi-primal algebras. II (1970) (3)
- The n-Ality Theory of Rings. (1949) (2)
- On the permutational representation of general sets of operations by partition lattices (1949) (2)
- On the imbeddability of universal algebras in relation to their identities. I (1959) (2)
- Natural Systems: The Structure of Abstract Monotone Sequences. (1941) (1)
- Functional completeness and automorphisms (1972) (1)
- Henle Paul. n-valued Boolean algebra. Structure, method and meaning, Essays in honor of Henry M. Sheffer, edited by Henle Paul, Kallen Horace M., and Langer Susanne K., The Liberal Arts Press, New York 1951, pp. 68–73. (1951) (0)
- Some Elementary Identities of Ordered Abelian Sets (1950) (0)
- Formal Logic In Finite Terms (1931) (0)
- n-Valued Boolean Algebra. (1951) (0)
- Pre-fields and universal algebraic extensions; equational Precessions (1968) (0)
- Review: Henry Lowig, On Transitive Boolean Relations (1953) (0)
- Algebraic and equational semi-maximality; Equational spectra: I (1966) (0)
- Total algebras and weak independence. I (1971) (0)
- Algebraic function-spectra (1968) (0)
- Functional completeness and automorphisms (1972) (0)
- Review: Paul Henle, n-Valued Boolean Algebra (1951) (0)
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