David Kirby
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David Kirbymathematics Degrees
Mathematics
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#11306
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Measure Theory
#3720
World Rank
#4386
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Mathematics
Why Is David Kirby Influential?
(Suggest an Edit or Addition)David Kirby'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
- COMMUTATIVE RING THEORY (Cambridge Studies in Advanced Mathematics 8) (1988) (818)
- THE ALGEBRAIC THEORY OF MODULAR SYSTEMS (1996) (98)
- DIMENSION AND LENGTH FOR ARTINIAN MODULES (1990) (90)
- ARTINIAN MODULES AND HILBERT POLYNOMIALS (1973) (88)
- Multiplicities in graded rings I: The general theory (1994) (67)
- Multiplicities in graded rings II: integral equivalence and the Buchsbaum–Rim multiplicity (1996) (43)
- The Structure of an Isolated Multiple Point of a Surface. III (1957) (35)
- Coprimary Decomposition of Artinian Modules (1973) (35)
- A Sequence of Complexes Associated with a Matrix (1974) (33)
- Closure Operations on Ideals and Submodules (1969) (25)
- The Reduction Number of a One‐Dimensional Local Ring (1975) (20)
- A Note on the Coefficients of the Hilbert‐Samuel Polynomial for a Cohen‐Macaulay Module (1982) (20)
- A NOTE ON SUPERFICIAL ELEMENTS OF AN IDEAL IN A LOCAL RING (1963) (18)
- On the Buchsbaum–Rim Multiplicity associated with a Matrix (1985) (16)
- LECTURES ON INTRODUCTION TO MODULI PROBLEMS AND ORBIT SPACES (1980) (15)
- Graded Multiplicity Theory and Hilbert Functions (1987) (11)
- LECTURES ON THE ASYMPTOTIC THEORY OF IDEALS (London Mathematical Society Lecture Note Series 113) (1990) (10)
- Hilbert functions and the extension functor (1989) (9)
- On the Koszul homology modules for the powers of a multiplicity system (1986) (8)
- Components of ideals in a commutative ring (1966) (8)
- ON BÉZOUT'S THEOREM (1988) (7)
- The defect of a one-dimensional local ring (1959) (6)
- Hilbert Functions and the Koszul Complex (1981) (4)
- The multiplicity of a set of homogeneous polynomials over a commutative ring (1998) (4)
- Integral Dependence and Valuation Algebras (1970) (4)
- A lattice of extension rings for a commutative ring (1978) (3)
- Idempotents in a Graded Ring (1974) (3)
- Isomorphic Koszul complexes (1973) (3)
- An Addendum to Lech's Limit Formula for Multiplicities (1984) (3)
- The homological grade of a module (1988) (3)
- THE GENUS OF AN ALGEBRAIC CURVE (1961) (2)
- Representing integral monoids by inequalities (1997) (2)
- Generalized koszul complexes and the extension functor (1990) (2)
- Homomorphisms and the space of valuation moduls (1970) (2)
- Subrings of the first neighbourhood ring: II (1979) (1)
- Relations between generalized Koszul complexes (1974) (1)
- A sequence of complexes generated by a finite set of homogeneous polynomials (1998) (1)
- Subrings of the first neighbourhood ring (1979) (1)
- The resultant and the Koszul complex of a set of forms (1997) (1)
- ON THE LENGTH OF THE POWERS OF SYSTEMS OF PARAMETERS IN LOCAL RING (2004) (1)
- Birational Transformations and Hilbert Functions (1961) (1)
- Fractional powers of a submodule of an algebra (1971) (1)
- Towards a theory of R-modules modulo a Serre category (1992) (1)
- ARITHMETIC OF BLOWUP ALGEBRAS (1996) (0)
- Isolated Intersections of a Set of n Primals in n-Space (1958) (0)
- ON ZARISKI'S COMPACTNESS THEOREM FOR THE SPACE OF VALUATION RINGS (1970) (0)
- Monoidal transformations in a one-dimensional local ring (1962) (0)
- THE VANISHING OF HOMOLOGY MODULES OF A KOSZUL COMPLEX (1987) (0)
- Representing monoids by inequalities (1997) (0)
- REGULAR RINGS AND VALUATION IDEALS (1974) (0)
- Hilbert polynomials and powers of an ideal (1974) (0)
- Pencils of circles of equal potentials (1994) (0)
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