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Northcott, Douglas Geoffrey (b. 1916 d. 2005)

Author ID: northcott.douglas-geoffrey Recent zbMATH articles by "Northcott, Douglas Geoffrey"
Published as: Northcott, D. G.; Northcott, D.
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 91 Publications since 1939, including 11 Books
Biographic References: 1 Publication
Co-Authors: 4 Co-Authors with 11 Joint Publications
12 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 1,530 times in 1,341 Documents Cited by Year
Reductions of ideals on local rings. Zbl 0057.02601
Northcott, D. G.; Rees, D.
290
1954
Lessons on rings, modules and multiplicities. Zbl 0159.33001
Northcott, D. G.
201
1968
Ideals defined by matrices and a certain complex associated with them. Zbl 0106.25603
Eagon, J. A.; Northcott, D. G.
187
1962
Finite free resolutions. Zbl 0328.13010
Northcott, D. G.
127
1976
An introduction to homological algebra. Zbl 0116.01401
Northcott, D. G.
94
1960
Ideal theory. Zbl 0052.26801
Northcott, D. G.
85
1953
A note on the coefficients of the abstract Hilbert function. Zbl 0118.04502
Northcott, D. G.
53
1960
Periodic points on an algebraic variety. Zbl 0036.30102
Northcott, D. G.
47
1950
Injective envelopes and inverse polynomials. Zbl 0284.13012
Northcott, D. G.
40
1974
A further inequality in the theory of arithmetic on algebraic varieties. Zbl 0035.30701
Northcott, D. G.
39
1949
A generalization of a theorem on the content of polynomials. Zbl 0103.27102
Northcott, D. G.
37
1959
A generalization of the concept of length. Zbl 0129.02203
Northcott, D. G.; Reufel, M.
28
1965
Some remarks on the theory of ideals defined by matrices. Zbl 0116.02504
Northcott, D. G.
21
1963
Generically acyclic complexes and generically perfect ideals. Zbl 0225.13004
Eagon, J. A.; Northcott, D. G.
19
1967
On irreducible ideals in local rings. Zbl 0081.03402
Northcott, D. G.
19
1957
A homological investigation of a certain residual ideal. Zbl 0112.02904
Northcott, D. G.
18
1963
Principal systems. Zbl 0077.26001
Northcott, D. G.; Rees, D.
15
1957
On the notion of a first neighbourhood with an application to the \(AF+B\varPhi\) theorem. Zbl 0082.03304
Northcott, D. G.
15
1957
Affine sets and affine groups. Zbl 0424.20034
Northcott, D. G.
14
1980
Multilinear algebra. Zbl 0543.15019
Northcott, D. G.
13
1984
A note on reductions of ideals with an application to the generalized Hilbert function. Zbl 0057.02602
Northcott, D. G.; Rees, D.
13
1954
The neighbourhoods of a local ring. Zbl 0067.26803
Northcott, D. G.
11
1955
A general theory of one-dimensional local rings. Zbl 0115.03304
Northcott, D. G.
11
1956
Generalized Koszul complexes and Artinian modules. Zbl 0241.18009
Northcott, D. G.
11
1972
On the Buchsbaum-Eisenbud theory of finite free resolutions. Zbl 0272.18010
Eagon, J. A.; Northcott, D. G.
10
1973
Semi-regular rings and semi-regular ideals. Zbl 0112.03001
Northcott, D. G.
9
1960
A first course of homological algebra. Zbl 0302.18009
Northcott, D. G.
8
1973
Some inequalities between periodic functions and their derivatives. Zbl 0022.12405
Northcott, D. G.
7
1939
Hilbert’s function in a local ring. Zbl 0050.03002
Northcott, D. G.
6
1953
Grade sensitivity and generic perfection. Zbl 0196.06701
Northcott, D. G.
6
1970
Specializations over a local domain. Zbl 0044.26501
Northcott, D. G.
6
1951
An introduction to homological algebra. Reprint of the 1962 hardback ed. Zbl 1185.13002
Northcott, D. G.
6
2008
A note on the Hilbert functions of certain ideals which are defined by matrices. Zbl 0108.04102
Eagon, J. A.; Northcott, D. G.
5
1962
A note on ideals which are saturated with respect to a specialization. Zbl 0106.25701
Northcott, D. G.
5
1962
The centre of a hereditary local ring. Zbl 0101.27403
Northcott, D. G.
4
1962
Additional properties of generically acyclic projective complexes. Zbl 0203.05301
Northcott, D. G.
4
1969
Duality and the theory of complexes. Zbl 0226.18008
Northcott, D. G.
4
1971
Semi-regular local rings. Zbl 0074.02801
Northcott, D. G.
3
1956
Some contributions to the theory of one-dimensional local rings. Zbl 0098.26001
Northcott, D. G.
3
1958
On the local cone of a point on an algebraic variety. Zbl 0056.14503
Northcott, D. G.
2
1954
On homogeneous ideals. Zbl 0064.26801
Northcott, D. G.
2
1955
Abstract dilatations and infinitely near points. Zbl 0074.02601
Northcott, D. G.
2
1956
A note on polynomial rings. Zbl 0081.26601
Northcott, D. G.
2
1958
On the homology theory of general commutative rings. Zbl 0103.26903
Northcott, D. G.
2
1961
The Hilbert function of the tensor product of two multigraded modules. Zbl 0122.04106
Northcott, D. G.
2
1963
Reduction of polynomial modules by means of an arbitrary valuation. Zbl 0127.26301
Northcott, D.; Reutel, M.
2
1965
The reduction number of a one-dimensional local ring. Zbl 0114.02302
Northcott, D. G.
2
1959
Extensions and simplifications of the theory of regular local rings. Zbl 0079.26601
Northcott, D. G.; Rees, D.
2
1957
Specialization of polynomial ideals and their zeros. Zbl 0109.02802
Northcott, D. G.
2
1962
Specialization of the isolated common zeros of a system of polynomial equations. Zbl 0109.26505
Northcott, D. G.
2
1962
Lessons on rings, modules and multiplicities. Reprint of the 1968 hardback ed. Zbl 1185.13001
Northcott, D. G.
2
2008
On unmixed ideals in regular local rings. Zbl 0050.26001
Northcott, D. G.
1
1953
Some results concerning the local analytic branches of an algebraic variety. Zbl 0052.37903
Northcott, D. G.
1
1953
On the algebraic foundations of the theory of local dilatations. Zbl 0072.38901
Northcott, D. G.
1
1956
A note on the \(AF+B\Phi\) theorem and the theory of local rings. Zbl 0067.26901
Northcott, D. G.
1
1955
An algebraic relation connected with the theory of curves on non-singular surfaces. Zbl 0087.35801
Northcott, D. G.
1
1959
A first course of homological algebra. Zbl 0425.18015
Northcott, D. G.
1
1980
Projective ideals and MacRae’s invariant. Zbl 0438.13006
Northcott, D. G.
1
1981
Remarks on the theory of attached prime ideals. Zbl 0484.13004
Northcott, D. G.
1
1982
Syzygies and specializations. Zbl 0128.03302
Northcott, D. G.
1
1965
Prime ideals and Dedekind orders. Zbl 0204.05801
Northcott, D. G.
1
1960
The number of analytic branches of a variety. Zbl 0039.37401
Northcott, D. G.
1
1950
Multilinear algebra. Reprint of the 1984 hardback ed. Zbl 1185.15023
Northcott, D. G.
1
2008
An introduction to homological algebra. Reprint of the 1962 hardback ed. Zbl 1185.13002
Northcott, D. G.
6
2008
Lessons on rings, modules and multiplicities. Reprint of the 1968 hardback ed. Zbl 1185.13001
Northcott, D. G.
2
2008
Multilinear algebra. Reprint of the 1984 hardback ed. Zbl 1185.15023
Northcott, D. G.
1
2008
Multilinear algebra. Zbl 0543.15019
Northcott, D. G.
13
1984
Remarks on the theory of attached prime ideals. Zbl 0484.13004
Northcott, D. G.
1
1982
Projective ideals and MacRae’s invariant. Zbl 0438.13006
Northcott, D. G.
1
1981
Affine sets and affine groups. Zbl 0424.20034
Northcott, D. G.
14
1980
A first course of homological algebra. Zbl 0425.18015
Northcott, D. G.
1
1980
Finite free resolutions. Zbl 0328.13010
Northcott, D. G.
127
1976
Injective envelopes and inverse polynomials. Zbl 0284.13012
Northcott, D. G.
40
1974
On the Buchsbaum-Eisenbud theory of finite free resolutions. Zbl 0272.18010
Eagon, J. A.; Northcott, D. G.
10
1973
A first course of homological algebra. Zbl 0302.18009
Northcott, D. G.
8
1973
Generalized Koszul complexes and Artinian modules. Zbl 0241.18009
Northcott, D. G.
11
1972
Duality and the theory of complexes. Zbl 0226.18008
Northcott, D. G.
4
1971
Grade sensitivity and generic perfection. Zbl 0196.06701
Northcott, D. G.
6
1970
Additional properties of generically acyclic projective complexes. Zbl 0203.05301
Northcott, D. G.
4
1969
Lessons on rings, modules and multiplicities. Zbl 0159.33001
Northcott, D. G.
201
1968
Generically acyclic complexes and generically perfect ideals. Zbl 0225.13004
Eagon, J. A.; Northcott, D. G.
19
1967
A generalization of the concept of length. Zbl 0129.02203
Northcott, D. G.; Reufel, M.
28
1965
Reduction of polynomial modules by means of an arbitrary valuation. Zbl 0127.26301
Northcott, D.; Reutel, M.
2
1965
Syzygies and specializations. Zbl 0128.03302
Northcott, D. G.
1
1965
Some remarks on the theory of ideals defined by matrices. Zbl 0116.02504
Northcott, D. G.
21
1963
A homological investigation of a certain residual ideal. Zbl 0112.02904
Northcott, D. G.
18
1963
The Hilbert function of the tensor product of two multigraded modules. Zbl 0122.04106
Northcott, D. G.
2
1963
Ideals defined by matrices and a certain complex associated with them. Zbl 0106.25603
Eagon, J. A.; Northcott, D. G.
187
1962
A note on the Hilbert functions of certain ideals which are defined by matrices. Zbl 0108.04102
Eagon, J. A.; Northcott, D. G.
5
1962
A note on ideals which are saturated with respect to a specialization. Zbl 0106.25701
Northcott, D. G.
5
1962
The centre of a hereditary local ring. Zbl 0101.27403
Northcott, D. G.
4
1962
Specialization of polynomial ideals and their zeros. Zbl 0109.02802
Northcott, D. G.
2
1962
Specialization of the isolated common zeros of a system of polynomial equations. Zbl 0109.26505
Northcott, D. G.
2
1962
On the homology theory of general commutative rings. Zbl 0103.26903
Northcott, D. G.
2
1961
An introduction to homological algebra. Zbl 0116.01401
Northcott, D. G.
94
1960
A note on the coefficients of the abstract Hilbert function. Zbl 0118.04502
Northcott, D. G.
53
1960
Semi-regular rings and semi-regular ideals. Zbl 0112.03001
Northcott, D. G.
9
1960
Prime ideals and Dedekind orders. Zbl 0204.05801
Northcott, D. G.
1
1960
A generalization of a theorem on the content of polynomials. Zbl 0103.27102
Northcott, D. G.
37
1959
The reduction number of a one-dimensional local ring. Zbl 0114.02302
Northcott, D. G.
2
1959
An algebraic relation connected with the theory of curves on non-singular surfaces. Zbl 0087.35801
Northcott, D. G.
1
1959
Some contributions to the theory of one-dimensional local rings. Zbl 0098.26001
Northcott, D. G.
3
1958
A note on polynomial rings. Zbl 0081.26601
Northcott, D. G.
2
1958
On irreducible ideals in local rings. Zbl 0081.03402
Northcott, D. G.
19
1957
Principal systems. Zbl 0077.26001
Northcott, D. G.; Rees, D.
15
1957
On the notion of a first neighbourhood with an application to the \(AF+B\varPhi\) theorem. Zbl 0082.03304
Northcott, D. G.
15
1957
Extensions and simplifications of the theory of regular local rings. Zbl 0079.26601
Northcott, D. G.; Rees, D.
2
1957
A general theory of one-dimensional local rings. Zbl 0115.03304
Northcott, D. G.
11
1956
Semi-regular local rings. Zbl 0074.02801
Northcott, D. G.
3
1956
Abstract dilatations and infinitely near points. Zbl 0074.02601
Northcott, D. G.
2
1956
On the algebraic foundations of the theory of local dilatations. Zbl 0072.38901
Northcott, D. G.
1
1956
The neighbourhoods of a local ring. Zbl 0067.26803
Northcott, D. G.
11
1955
On homogeneous ideals. Zbl 0064.26801
Northcott, D. G.
2
1955
A note on the \(AF+B\Phi\) theorem and the theory of local rings. Zbl 0067.26901
Northcott, D. G.
1
1955
Reductions of ideals on local rings. Zbl 0057.02601
Northcott, D. G.; Rees, D.
290
1954
A note on reductions of ideals with an application to the generalized Hilbert function. Zbl 0057.02602
Northcott, D. G.; Rees, D.
13
1954
On the local cone of a point on an algebraic variety. Zbl 0056.14503
Northcott, D. G.
2
1954
Ideal theory. Zbl 0052.26801
Northcott, D. G.
85
1953
Hilbert’s function in a local ring. Zbl 0050.03002
Northcott, D. G.
6
1953
On unmixed ideals in regular local rings. Zbl 0050.26001
Northcott, D. G.
1
1953
Some results concerning the local analytic branches of an algebraic variety. Zbl 0052.37903
Northcott, D. G.
1
1953
Specializations over a local domain. Zbl 0044.26501
Northcott, D. G.
6
1951
Periodic points on an algebraic variety. Zbl 0036.30102
Northcott, D. G.
47
1950
The number of analytic branches of a variety. Zbl 0039.37401
Northcott, D. G.
1
1950
A further inequality in the theory of arithmetic on algebraic varieties. Zbl 0035.30701
Northcott, D. G.
39
1949
Some inequalities between periodic functions and their derivatives. Zbl 0022.12405
Northcott, D. G.
7
1939
all top 5

Cited by 1,194 Authors

24 Huneke, Craig L.
23 Vasconcelos, Wolmer V.
19 Goto, Shiro
19 Ulrich, Bernd
18 Sharp, Rodney Y.
18 Verma, Jugal Kishore
17 Ratliff, Louis J. jun.
16 Chang, Gyu Whan
15 Rossi, Maria Evelina
13 Hoàng Lê Trường
12 Eisenbud, David
12 Elias, Joan
12 Sahandi, Parviz
11 Anderson, David Fenimore
11 Corso, Alberto
11 Kirby, David
10 Aberbach, Ian M.
10 Bruns, Winfried
10 Duong Quôc Việt
10 Hermida Alonso, José Angel
10 Herzog, Jürgen
9 Heinzer, William J.
9 Hochster, Melvin
9 Kabbaj, Salah-Eddine
9 Katz, Daniel
9 Ngô Viêt Trung
8 Buchsbaum, David A.
8 Giordano Bruno, Anna
8 Lê Tuâń Hoa
8 Polini, Claudia
8 Salce, Luigi
8 Virili, Simone
8 Weyman, Jerzy M.
7 Herrmann, Manfred
7 Mafi, Amir
7 Naghipour, Reza
7 Ozeki, Kazuho
7 Picavet-L’Hermitte, Martine
7 Simis, Aron
7 Vogel, Wolfgang
6 Anderson, Daniel D.
6 Benedetto, Robert L.
6 Dikranjan, Dikran N.
6 Epstein, Neil
6 Huckaba, Sam
6 Hyry, Eero
6 Juett, Jason Robert
6 Kumashiro, Shinya
6 Kustin, Andrew R.
6 Matsuoka, Naoyuki
6 Mimouni, Abdeslam
6 Nguyen Tu Cuong
6 O’Carroll, Liam
6 Picavet, Gabriel
6 Rush, David E.
6 Schenzel, Peter
6 Valla, Giuseppe
5 D’Cruz, Clare
5 Doyle, John R.
5 Guerrieri, Anna
5 Kleppe, Jan Oddvar
5 Kurihara, Masato
5 Masuti, Shreedevi Kalyani
5 Millevoi, Tomaso
5 Northcott, Douglas Geoffrey
5 Orbanz, Ulrich
5 Park, Sangwon
5 Planas-Vilanova, Francesc
5 Puthenpurakal, Tony J.
5 Sally, Judith D.
5 Sánchez-Giralda, Tomás
5 Shah, Kishor
5 Silverman, Joseph Hillel
5 Tekir, Unsal
5 Villamayor Uriburu, Orlando Eugenio
5 Widmer, Martin
4 Abu-Dawwas, Rashid
4 Asgharzadeh, Mohsen
4 Avramov, Luchezar L.
4 Bakkari, Chahrazade
4 Barshay, Jacob
4 Bivià-Ausina, Carles
4 Brennan, Joseph Patrick
4 Buchweitz, Ragnar-Olaf
4 Carriegos, Miguel V.
4 Casnati, Gianfranco
4 Eliahou, Shalom
4 Enochs, Edgar E.
4 Fouli, Louiza
4 Goodearl, Kenneth R.
4 Hamdi, Haleh
4 Hashimoto, Mitsuyasu
4 Ingram, Patrick
4 Lazard, Daniel
4 Lech, Christer
4 Li, Hanfeng
4 Mahdou, Najib
4 Marley, Thomas
4 McAdam, Stephen J.
4 Mirò-Roig, Rosa Maria
...and 1,094 more Authors
all top 5

Cited in 209 Serials

228 Journal of Algebra
88 Proceedings of the American Mathematical Society
85 Journal of Pure and Applied Algebra
75 Communications in Algebra
67 Transactions of the American Mathematical Society
52 Mathematische Zeitschrift
39 Mathematische Annalen
28 Manuscripta Mathematica
28 Journal of Algebra and its Applications
23 Mathematical Proceedings of the Cambridge Philosophical Society
20 Advances in Mathematics
19 Compositio Mathematica
18 Linear Algebra and its Applications
18 Journal of Commutative Algebra
17 Inventiones Mathematicae
17 Rendiconti del Seminario Matematico della Università di Padova
15 Nagoya Mathematical Journal
14 Archiv der Mathematik
14 Monatshefte für Mathematik
10 Journal of Number Theory
10 Mathematische Nachrichten
10 Journal of Symbolic Computation
9 Israel Journal of Mathematics
9 Rocky Mountain Journal of Mathematics
9 Duke Mathematical Journal
9 Glasgow Mathematical Journal
8 Annales de l’Institut Fourier
8 Mathematika
8 Proceedings of the Edinburgh Mathematical Society. Series II
7 Acta Mathematica Vietnamica
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Bulletin de la Société Mathématique de France
7 Bulletin of the Korean Mathematical Society
7 Forum Mathematicum
6 Michigan Mathematical Journal
6 Journal of Algebraic Combinatorics
5 Linear and Multilinear Algebra
5 International Journal of Algebra and Computation
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Bulletin of the American Mathematical Society
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Acta Arithmetica
4 Bulletin of the London Mathematical Society
4 Czechoslovak Mathematical Journal
4 Publications Mathématiques
4 Journal of Functional Analysis
4 Mathematica Slovaca
4 Tokyo Journal of Mathematics
4 Journal of the American Mathematical Society
4 Journal de Théorie des Nombres de Bordeaux
4 Journal of the European Mathematical Society (JEMS)
3 Mathematical Notes
3 Arkiv för Matematik
3 Mathematics of Computation
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Fuzzy Sets and Systems
3 Journal für die Reine und Angewandte Mathematik
3 Semigroup Forum
3 Tôhoku Mathematical Journal. Second Series
3 Acta Mathematica Hungarica
3 Bulletin of the Iranian Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Applicable Algebra in Engineering, Communication and Computing
3 Algebra Colloquium
3 Vietnam Journal of Mathematics
3 Algebras and Representation Theory
3 Bulletin of the Brazilian Mathematical Society. New Series
3 International Journal of Number Theory
3 Proceedings of the Japan Academy
3 International Electronic Journal of Algebra (IEJA)
3 Kyoto Journal of Mathematics
3 Korean Journal of Mathematics
2 Bulletin of the Australian Mathematical Society
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Beiträge zur Algebra und Geometrie
2 Acta Mathematica
2 Algebra Universalis
2 Canadian Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Collectanea Mathematica
2 Dissertationes Mathematicae
2 Journal of the Korean Mathematical Society
2 Journal of the London Mathematical Society. Second Series
2 Memoirs of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Quaestiones Mathematicae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Systems & Control Letters
2 Annals of Global Analysis and Geometry
2 Computer Aided Geometric Design
2 Revista Matemática Iberoamericana
2 Multidimensional Systems and Signal Processing
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
...and 109 more Serials
all top 5

Cited in 47 Fields

873 Commutative algebra (13-XX)
295 Algebraic geometry (14-XX)
123 Associative rings and algebras (16-XX)
116 Number theory (11-XX)
75 Group theory and generalizations (20-XX)
57 Dynamical systems and ergodic theory (37-XX)
52 Category theory; homological algebra (18-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
39 Several complex variables and analytic spaces (32-XX)
36 Combinatorics (05-XX)
22 Order, lattices, ordered algebraic structures (06-XX)
19 Field theory and polynomials (12-XX)
16 Nonassociative rings and algebras (17-XX)
16 Manifolds and cell complexes (57-XX)
13 Computer science (68-XX)
11 Functional analysis (46-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Systems theory; control (93-XX)
10 Algebraic topology (55-XX)
8 \(K\)-theory (19-XX)
8 Partial differential equations (35-XX)
8 Convex and discrete geometry (52-XX)
8 Differential geometry (53-XX)
7 Topological groups, Lie groups (22-XX)
7 Abstract harmonic analysis (43-XX)
6 Operator theory (47-XX)
5 Functions of a complex variable (30-XX)
5 General topology (54-XX)
5 Mechanics of particles and systems (70-XX)
5 Information and communication theory, circuits (94-XX)
4 Mathematical logic and foundations (03-XX)
4 Real functions (26-XX)
4 Ordinary differential equations (34-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Geometry (51-XX)
3 History and biography (01-XX)
3 General algebraic systems (08-XX)
3 Numerical analysis (65-XX)
3 Quantum theory (81-XX)
2 Approximations and expansions (41-XX)
2 Mechanics of deformable solids (74-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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