Douglas Northcott
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British mathematician
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Mathematics
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Measure Theory
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, Douglas Geoffrey Northcott, FRS was a British mathematician who worked on ideal theory. Early life and career Northcott was born Douglas Geoffrey Robertson in Kensington on 31 December 1916 to Clara Freda and her first husband Geoffrey Douglas Spence Robertson . His mother remarried in 1919 to Arthur Hugh Kynaston Northcott . In 1935, he legally adopted his step-father's surname.
Douglas Northcott'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
- Reductions of ideals in local rings (1954) (631)
- Ideals defined by matrices and a certain complex associated with them (1962) (331)
- Lessons on rings, modules and multiplicities (1968) (285)
- An introduction to homological algebra (1961) (128)
- Periodic Points on an Algebraic Variety (1950) (120)
- A Note on the Coefficients of the Abstract Hilbert Function (1960) (100)
- An inequality in the theory of arithmetic on algebraic varieties (1949) (77)
- Finite Free Resolutions (2004) (77)
- Infective Envelopes and Inverse Polynomials (1974) (72)
- A generalization of a theorem on the content of polynomials (1959) (71)
- A note on the coefficients of Hilbert characteristic functions in semi-regular local rings (1963) (54)
- A GENERALIZATION OF THE CONCEPT OF LENGTH (1965) (39)
- Generically acyclic complexes and generically perfect ideals (1967) (34)
- On Irreducible Ideals in Local Rings (1957) (30)
- A note on reductions of ideals with an application to the generalized Hilbert function (1954) (30)
- SOME REMARKS ON THE THEORY OF IDEALS DEFINED BY MATRICES (1963) (29)
- A homological investigation of a certain residual ideal (1963) (27)
- A General Theory of One-dimensional Local Rings (1956) (25)
- On the notion of a first neighbourhood ring with an application to the AF + BΦ theorem (1957) (24)
- Phase II evaluation of mitozolomide in ovarian cancer. (1988) (24)
- A first course of homological algebra (1973) (22)
- Multilinear algebra: Frontmatter (1984) (22)
- Semi-regular rings and semi-regular ideals (1960) (21)
- Affine sets and affine groups (1980) (21)
- The Neighbourhoods of a Local Ring (1955) (20)
- HILBERT'S FUNCTION IN A LOCAL RING (1953) (19)
- Lessons on rings, modules and multiplicities: Preface (1968) (17)
- Some Inequalities between Periodic Functions and Their Derivatives (1939) (16)
- The reduction number of a one-dimensional local ring (1959) (16)
- Generalized Koszul complexes and artinian modules (1972) (14)
- On the Buchsbaum-Eisenbud theory of finite free resolutions. (1973) (12)
- Abstract dilatations and infinitely near points (1956) (12)
- A note on the Hilbert functions of certain ideals which are defined by matrices (1962) (10)
- Grade Sensitivity and Generic Perfection (1970) (9)
- A further inequality in the theory of arithmetic on algebraic varieties (1949) (8)
- Specializations Over a Local Domain (1951) (8)
- On the Algebraic Foundations of the Theory of Local Dilatations (1956) (7)
- Some Contributions to the Theory of One‐Dimensional Local Rings (1958) (7)
- On the Homology Theory of General Commutative Rings (1961) (7)
- ADDITIONAL PROPERTIES OF GENERICALLY ACYCLIC PROJECTIVE COMPLEXES (1969) (6)
- Hilbert Functions and the Koszul Complex (1970) (6)
- Extensions and Simplifications of the Theory of Regular Local Rings (1957) (6)
- Duality and the Theory of Complexes (1971) (5)
- On Homogeneous Ideals (1955) (5)
- A Note on the Genus Formula for Plane Curves (1955) (5)
- THE MULTIPLICATIVE STRUCTURE (1976) (5)
- Multilinear algebra: Multilinear mappings (1984) (5)
- On Unmixed Ideals in Regular Local Rings (1953) (5)
- ON THE NOTION OF A FORM IDEAL (1953) (5)
- Semi-regular local rings (1956) (5)
- The centre of a hereditary local ring (1962) (4)
- The Hilbert function of the tensor product of two multigraded modules (1963) (4)
- Ideal Theory: Notes (1953) (4)
- REMARKS ON THE THEORY OF ATTACHED PRIME IDEALS (1982) (3)
- A Note on Polynomial Rings (1958) (3)
- Reduction of polynomial modules by means of an arbitrary valuation (1965) (3)
- Prime Ideals and Dedekind Orders (1960) (3)
- Contributions to the specialization theory of polynomial modules (1964) (2)
- An Algebraic Relation Connected with the Theory of Curves on Non-Singular Surfaces (1959) (2)
- Specialization of Polynomial Ideals and Their Zeros (1962) (2)
- Syzygies and Specializations (1965) (2)
- Specialization of the isolated common zeros of a system of polynomial equations (1962) (2)
- Some results concerning the local analytic branches of an algebraic variety (1953) (2)
- On the Local Cone of a Point on An Algebraic Variety (1954) (2)
- Finite Free Resolutions: GRADE AND FINITE FREE RESOLUTIONS (1976) (1)
- Lessons on rings, modules and multiplicities: Multiplicity theory (1968) (1)
- Some properties of analytically irreducible geometric quotient rings (1951) (1)
- Projective Ideals and Macrae's Invariant (1981) (1)
- A First Course of Homological Algebra: Frontmatter (1973) (1)
- Finite Free Resolutions: THE INVARIANTS OF FITTING AND MACRAE (1976) (1)
- Simple reduction theorems for extension and torsion functors (1961) (1)
- A note on the global dimension of polynomial rings (1957) (1)
- A note on the intersection theorem for ideals (1952) (1)
- Generalized R-sequences. (1969) (1)
- Abstract Tauberian theorems with applications to power series and Hilbert series (1947) (1)
- A note on the AF + BΦ theorem and the theory of local rings (1955) (1)
- Specialization and the Conservation of Number (1967) (1)
- On Integrally Closed Geometric Quotient Rings and Their Extensions (1952) (1)
- A First Course of Homological Algebra: Polynomial rings and matrix rings (1973) (1)
- Affine Sets and Affine Groups: Power series and exponentials (1980) (0)
- A note on ideals which are saturated with respect to a specialization (1962) (0)
- Analytically Biregular Mappings (1955) (0)
- A First Course of Homological Algebra: The Hom functor (1973) (0)
- A Homological characterization of certain Abelian groups (1961) (0)
- STABILITY AND FINITE FREE RESOLUTIONS (1976) (0)
- Multilinear algebra: Coalgebras and Hopf algebras (1984) (0)
- Multilinear algebra: Some properties of tensor products (1984) (0)
- Lessons on rings, modules and multiplicities: The Koszul complex (1968) (0)
- Ideal Theory: Index of Definitions (1953) (0)
- A First Course of Homological Algebra: Preface (1973) (0)
- A First Course of Homological Algebra: References (1973) (0)
- A NON-FREE SUPPLEMENTABLE PROJECTIVE MODULE (1976) (0)
- A First Course of Homological Algebra: The language of functors (1973) (0)
- Complete Intersections in Regular Local Rings ∗ (2002) (0)
- Homology, Hilbert functions, and the conservation of number (1971) (0)
- A First Course of Homological Algebra: Duality (1973) (0)
- The values taken by a rational function on an algebraic variety (1949) (0)
- Finite Free Resolutions: A FURTHER RESULT ON EXACT SEQUENCES (1976) (0)
- Ideal Theory: References (1953) (0)
- TOPOLOGICAL GROUPS AND INTEGRAL EXTENSIONS (1981) (0)
- A property of balanced functors (1961) (0)
- Lessons on rings, modules and multiplicities: Introduction to some basic ideas (1968) (0)
- Ideal Theory: Frontmatter (1953) (0)
- CONCERNING REAL VALUED MAPS OF THE re-SPHERE1 (2010) (0)
- Some notes for the reader (1968) (0)
- Tables of Contents (2009) (0)
- Filtered rings and modules (1968) (0)
- Affine Sets and Affine Groups: References (1980) (0)
- Lessons on rings, modules and multiplicities: Prime ideals and primary submodules (1968) (0)
- The theory of grade (1968) (0)
- Finite free resolutions arid some basic concepts of commutative algebra (1983) (0)
- Lessons on rings, modules and multiplicities: Hilbert rings and the Zeros Theorem (1968) (0)
- Affine Sets and Affine Groups: Affine groups (1980) (0)
- The associated Lie algebra (1980) (0)
- A note on classical ideal theory (1955) (0)
- Multilinear algebra: Preface (1984) (0)
- Multilinear algebra: The tensor algebra of a module (1984) (0)
- A First Course of Homological Algebra: Local homological algebra (1973) (0)
- The exterior algebra of a module (1984) (0)
- Finite Free Resolutions: MATRICES AND DETERMINANTS (1976) (0)
- Ideal Theory: THE ANALYTIC THEORY OF LOCAL RINGS (1953) (0)
- Finite Free Resolutions: FREE MODULES (1976) (0)
- Lessons on rings, modules and multiplicities: Noetherian rings and modules (1968) (0)
- Ideal Theory: Author's Preface (1953) (0)
- Multiplicities of Matrices on Modules (1983) (0)
- Affine Sets and Affine Groups: Irreducible affine sets (1980) (0)
- Finite Free Resolutions: LATENT NON-ZERODIVISORS (1976) (0)
- Finite Free Resolutions: References (1976) (0)
- Dilatation properties of regular local rings (1959) (0)
- Multilinear algebra: The symmetric algebra of a module (1984) (0)
- Finite Free Resolutions: SOME SPECIAL FREE COMPLEXES (1976) (0)
- A First Course of Homological Algebra: Notes for the reader (1973) (0)
- An application of local uniformization to the theory of divisors (1951) (0)
- Ideal Theory: SOME FUNDAMENTAL PROPERTIES OF NOETHERIAN RINGS (1953) (0)
- Multilinear algebra: Graded duality (1984) (0)
- Ideal Theory: RESIDUE RINGS AND RINGS OF QUOTIENTS (1953) (0)
- Affine Sets and Affine Groups: Derivations and tangent spaces (1980) (0)
- A First Course of Homological Algebra: A derived functor (1973) (0)
- Preliminaries concerning algebras (1980) (0)
- Ideal Theory: THE ALGEBRAIC THEORY OF LOCAL RINGS (1953) (0)
- Ideal Theory: THE PRIMARY DECOMPOSITION (1953) (0)
- An elementary derivation of an inequality involvingR-sequences (1975) (0)
- Ideal Theory: Preliminaries (1953) (0)
- Lessons on rings, modules and multiplicities: Rings and modules of fractions (1968) (0)
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