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Rees, David

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Author ID: rees.david Recent zbMATH articles by "Rees, David"
Published as: Rees, D.; Rees, David
External Links: MGP · Wikidata · IdRef
Documents Indexed: 54 Publications since 1940, including 1 Book
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 1,336 times in 900 Documents Cited by Year
Reductions of ideals on local rings. Zbl 0057.02601
Northcott, D. G.; Rees, D.
264
1954
On semi-groups. JFM 66.1207.01
Rees, D.
105
1940
Generalizations of reductions and mixed multiplicities. Zbl 0572.13005
Rees, D.
82
1984
\(\alpha\)-transforms of local rings and a theorem on multiplicities of ideals. Zbl 0111.24803
Rees, D.
66
1961
A note on analytically unramified local rings. Zbl 0115.26202
Rees, D.
61
1961
On semi-groups in which \(x^r=x\). Zbl 0046.01903
Green, James A.; Rees, D.
52
1952
The grade of an ideal or module. Zbl 0079.26602
Rees, D.
52
1957
Valuations associated with ideals. II. Zbl 0074.26303
Rees, D.
45
1956
On a theorem of B. Teissier on multiplicities of ideals in local rings. Zbl 0408.13009
Rees, D.; Sharp, R. Y.
40
1978
Hilbert functions and pseudo-rational local rings of dimension two. Zbl 0492.13012
Rees, D.
35
1981
Reduction of modules. Zbl 0628.13004
Rees, D.
33
1987
General elements and joint reductions. Zbl 0666.13004
Rees, D.; Sally, Judith D.
31
1988
Rings associated with ideals and analytic spread. Zbl 0491.13014
Rees, D.
29
1981
A note on form rings and ideals. Zbl 0089.26003
Rees, D.
29
1957
Multiplicities in graded rings. I: The general theory. Zbl 0805.13001
Kirby, D.; Rees, D.
27
1994
On semi-groups. Zbl 0028.00401
Rees, D.
26
1940
On a problem of Zariski. Zbl 0078.02702
Rees, D.
26
1958
Valuations associated with a local ring. I. Zbl 0066.28805
Rees, D.
24
1955
Izumi’s theorem. Zbl 0741.13011
Rees, David
24
1989
Lectures on the asymptotic theory of ideals. Zbl 0669.13001
Rees, D.
22
1988
A theorem of homological algebra. Zbl 0072.02701
Rees, D.
20
1956
Valuations associated with a local ring. II. Zbl 0074.26401
Rees, D.
20
1956
Degree functions in local rings. Zbl 0111.24901
Rees, D.
19
1961
Neutral maps of extension functors and a theorem of R.G. Swan. Zbl 0122.03101
Hilton, Peter J.; Rees, D.
19
1961
Multiplicities in graded rings. II: Integral equivalence and the Buchsbaum-Rim multiplicity. Zbl 0877.13023
Kirby, D.; Rees, D.
17
1996
Principal systems. Zbl 0077.26001
Northcott, D. G.; Rees, D.
16
1957
Valuations associated with ideals. Zbl 0074.26302
Rees, D.
15
1956
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 ideal structure of a semi-group satisfying a cancellation law. Zbl 0030.00802
Rees, D.
12
1948
On the group of a set of partial transformations. Zbl 0030.29303
Rees, D.
12
1947
Two classical theorems of ideal theory. Zbl 0074.26201
Rees, D.
12
1956
Amao’s theorem and reduction criteria. Zbl 0599.13002
Rees, D.
11
1985
A basic theorem for polynomials modules. Zbl 0070.01601
Rees, D.
10
1956
On the number of generators of ideals in local Cohen-Macaulay rings. Zbl 0408.13007
Boratynski, Maksymillian; Eisenbud, David; Rees, David
10
1979
Note on semi-groups. JFM 67.0978.02
Rees, D.
9
1941
Note on a paper by I. J. Good. Zbl 0060.02703
Rees, D.
8
1946
Note on semi-groups. Zbl 0063.06456
Rees, D.
7
1941
A note on asymptotically unmixed ideals. Zbl 0578.13006
Rees, D.
5
1985
The nuclei of non-associative division algebras. Zbl 0034.30703
Rees, D.
4
1950
A note on general ideals. Zbl 0082.03303
Rees, D.
4
1957
The general extension of a local ring and mixed multiplicities. Zbl 0588.13021
Rees, D.
4
1986
Multiplicities, Hilbert functions and degree functions. Zbl 0515.13020
Rees, D.
4
1982
A note on valuations associated with a local domain. Zbl 0066.28901
Rees, D.
3
1955
The multiplicity of a set of homogeneous polynomials over a commutative ring. Zbl 0971.13014
Kirby, David; Rees, David
2
1998
Extensions and simplifications of the theory of regular local rings. Zbl 0079.26601
Northcott, D. G.; Rees, D.
2
1957
Linear systems of algebras. Zbl 0039.26502
Rees, D.
1
1950
Polar modules. Zbl 0082.03403
Rees, D.
1
1957
Filtrations as limits of valuations. Zbl 0088.03502
Rees, D.
1
1957
Local birational geometry. Zbl 0146.17003
Rees, D.
1
1966
Degree functions in two-dimensional normal local domains. Zbl 0241.13008
Rees, D.
1
1972
The multiplicity of a set of homogeneous polynomials over a commutative ring. Zbl 0971.13014
Kirby, David; Rees, David
2
1998
Multiplicities in graded rings. II: Integral equivalence and the Buchsbaum-Rim multiplicity. Zbl 0877.13023
Kirby, D.; Rees, D.
17
1996
Multiplicities in graded rings. I: The general theory. Zbl 0805.13001
Kirby, D.; Rees, D.
27
1994
Izumi’s theorem. Zbl 0741.13011
Rees, David
24
1989
General elements and joint reductions. Zbl 0666.13004
Rees, D.; Sally, Judith D.
31
1988
Lectures on the asymptotic theory of ideals. Zbl 0669.13001
Rees, D.
22
1988
Reduction of modules. Zbl 0628.13004
Rees, D.
33
1987
The general extension of a local ring and mixed multiplicities. Zbl 0588.13021
Rees, D.
4
1986
Amao’s theorem and reduction criteria. Zbl 0599.13002
Rees, D.
11
1985
A note on asymptotically unmixed ideals. Zbl 0578.13006
Rees, D.
5
1985
Generalizations of reductions and mixed multiplicities. Zbl 0572.13005
Rees, D.
82
1984
Multiplicities, Hilbert functions and degree functions. Zbl 0515.13020
Rees, D.
4
1982
Hilbert functions and pseudo-rational local rings of dimension two. Zbl 0492.13012
Rees, D.
35
1981
Rings associated with ideals and analytic spread. Zbl 0491.13014
Rees, D.
29
1981
On the number of generators of ideals in local Cohen-Macaulay rings. Zbl 0408.13007
Boratynski, Maksymillian; Eisenbud, David; Rees, David
10
1979
On a theorem of B. Teissier on multiplicities of ideals in local rings. Zbl 0408.13009
Rees, D.; Sharp, R. Y.
40
1978
Degree functions in two-dimensional normal local domains. Zbl 0241.13008
Rees, D.
1
1972
Local birational geometry. Zbl 0146.17003
Rees, D.
1
1966
\(\alpha\)-transforms of local rings and a theorem on multiplicities of ideals. Zbl 0111.24803
Rees, D.
66
1961
A note on analytically unramified local rings. Zbl 0115.26202
Rees, D.
61
1961
Degree functions in local rings. Zbl 0111.24901
Rees, D.
19
1961
Neutral maps of extension functors and a theorem of R.G. Swan. Zbl 0122.03101
Hilton, Peter J.; Rees, D.
19
1961
On a problem of Zariski. Zbl 0078.02702
Rees, D.
26
1958
The grade of an ideal or module. Zbl 0079.26602
Rees, D.
52
1957
A note on form rings and ideals. Zbl 0089.26003
Rees, D.
29
1957
Principal systems. Zbl 0077.26001
Northcott, D. G.; Rees, D.
16
1957
A note on general ideals. Zbl 0082.03303
Rees, D.
4
1957
Extensions and simplifications of the theory of regular local rings. Zbl 0079.26601
Northcott, D. G.; Rees, D.
2
1957
Polar modules. Zbl 0082.03403
Rees, D.
1
1957
Filtrations as limits of valuations. Zbl 0088.03502
Rees, D.
1
1957
Valuations associated with ideals. II. Zbl 0074.26303
Rees, D.
45
1956
A theorem of homological algebra. Zbl 0072.02701
Rees, D.
20
1956
Valuations associated with a local ring. II. Zbl 0074.26401
Rees, D.
20
1956
Valuations associated with ideals. Zbl 0074.26302
Rees, D.
15
1956
Two classical theorems of ideal theory. Zbl 0074.26201
Rees, D.
12
1956
A basic theorem for polynomials modules. Zbl 0070.01601
Rees, D.
10
1956
Valuations associated with a local ring. I. Zbl 0066.28805
Rees, D.
24
1955
A note on valuations associated with a local domain. Zbl 0066.28901
Rees, D.
3
1955
Reductions of ideals on local rings. Zbl 0057.02601
Northcott, D. G.; Rees, D.
264
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 semi-groups in which \(x^r=x\). Zbl 0046.01903
Green, James A.; Rees, D.
52
1952
The nuclei of non-associative division algebras. Zbl 0034.30703
Rees, D.
4
1950
Linear systems of algebras. Zbl 0039.26502
Rees, D.
1
1950
On the ideal structure of a semi-group satisfying a cancellation law. Zbl 0030.00802
Rees, D.
12
1948
On the group of a set of partial transformations. Zbl 0030.29303
Rees, D.
12
1947
Note on a paper by I. J. Good. Zbl 0060.02703
Rees, D.
8
1946
Note on semi-groups. JFM 67.0978.02
Rees, D.
9
1941
Note on semi-groups. Zbl 0063.06456
Rees, D.
7
1941
On semi-groups. JFM 66.1207.01
Rees, D.
105
1940
On semi-groups. Zbl 0028.00401
Rees, D.
26
1940
all top 5

Cited by 708 Authors

40 Ratliff, Louis J. jun.
32 Verma, Jugal Kishore
29 Huneke, Craig L.
26 Heinzer, William J.
23 Ulrich, Bernd
22 Duong Quôc Việt
22 Vasconcelos, Wolmer V.
17 Rush, David E.
15 Goto, Shiro
15 Katz, Daniel
13 Bivià-Ausina, Carles
13 Ngô Viêt Trung
10 Polini, Claudia
9 Aberbach, Ian M.
9 D’Cruz, Clare
8 Kim, Mee-Kyoung
8 Naghipour, Reza
8 Rossi, Maria Evelina
8 Thanh, Truong Thi Hong
7 Beddani, Charef
7 Huckaba, Sam
7 Mafi, Amir
7 Masuti, Shreedevi Kalyani
7 Sally, Judith D.
7 Schenzel, Peter
7 Tamura, Takayuki
7 Validashti, Javid
7 Yoshida, Ken-ichi
6 Corso, Alberto
6 Debremaeker, Raymond
6 Fouli, Louiza
6 Herrmann, Manfred
6 Hyry, Eero
6 Izumi, Shuzo
6 Jorge Pérez, Victor Hugo
6 Sarkar, Parangama
6 Simis, Aron
6 Swanson, Irena
6 Valla, Giuseppe
6 van Lierde, Veronique
6 Watanabe, Kei-ichi
6 Zhu, Guangjun
5 Ciuperca, Catalin
5 Cutkosky, Steven Dale
5 Eisenbud, David
5 Hayasaka, Futoshi
5 Herzog, Jürgen
5 Hoàng Lê Trường
5 Hochster, Melvin
5 Hong, Jooyoun
5 Kabbaj, Salah-Eddine
5 Kambites, Mark
5 Kodiyalam, Vijay
5 Lawson, Mark Verus
5 Lê Tuâń Hoa
5 Liu, Jung-Chen
5 Rees, David
5 Schwarz, Štefan
5 Sharp, Rodney Y.
5 Vogel, Wolfgang
5 Vraciu, Adela N.
4 Abhyankar, Shreeram Shankar
4 Behrens, Ernst-August
4 Brodmann, Markus P.
4 Callejas-Bedregal, Roberto
4 Clifford, Alfred H.
4 de Luca, Aldo
4 Dichi, Henri
4 Epstein, Neil
4 Gerhard, J. A.
4 Goel, Kriti
4 Guerrieri, Anna
4 Hickel, Michel
4 Hollings, Christopher David
4 Johnston, Bernard L.
4 Matsuoka, Naoyuki
4 McAdam, Stephen J.
4 Mimouni, Abdeslam
4 Naderi, Dler
4 Ozeki, Kazuho
4 Puthenpurakal, Tony J.
4 Rond, Guillaume
4 Sedghi, Monireh
4 Shah, Kishor
4 Smirnov, Ilya
4 Varricchio, Stefano
4 Villamayor Uriburu, Orlando Eugenio
3 Azeef Muhammed, P. A.
3 Böger, Erwin
3 Brennan, Joseph Phillip
3 D’Anna, Marco
3 Dolinka, Igor
3 Encinas, Santiago
3 Gaffney, Terence
3 Ghezzi, Laura
3 Houghton, C. H.
3 Hübl, Reinhold
3 Jahandoust, Saeed
3 Karpuz, Eylem Güzel
3 Kimura, Satoru
...and 608 more Authors
all top 5

Cited in 135 Serials

199 Journal of Algebra
73 Journal of Pure and Applied Algebra
65 Proceedings of the American Mathematical Society
61 Communications in Algebra
47 Semigroup Forum
43 Transactions of the American Mathematical Society
23 Mathematische Zeitschrift
17 Mathematische Annalen
16 Journal of Commutative Algebra
15 Journal of Algebra and its Applications
14 Advances in Mathematics
14 Archiv der Mathematik
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Manuscripta Mathematica
12 Proceedings of the Japan Academy
10 Bulletin of the American Mathematical Society
9 Rocky Mountain Journal of Mathematics
9 Nagoya Mathematical Journal
9 Theoretical Computer Science
7 Compositio Mathematica
7 Czechoslovak Mathematical Journal
7 Algebra Colloquium
6 Annales de l’Institut Fourier
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Bulletin de la Société Mathématique de France
5 Glasgow Mathematical Journal
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Rendiconti del Seminario Matematico della Università di Padova
5 Algebras and Representation Theory
4 Bulletin of the Australian Mathematical Society
4 Algebra Universalis
4 Inventiones Mathematicae
4 Michigan Mathematical Journal
4 Tokyo Journal of Mathematics
4 International Journal of Algebra and Computation
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of Algebraic Combinatorics
4 Asian-European Journal of Mathematics
3 Discrete Mathematics
3 Periodica Mathematica Hungarica
3 Arkiv för Matematik
3 Beiträge zur Algebra und Geometrie
3 Acta Mathematica Vietnamica
3 Duke Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Mathematica Slovaca
3 Topology and its Applications
3 Bulletin of the Korean Mathematical Society
3 Journal of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Acta Mathematica
2 Bulletin of the London Mathematical Society
2 Journal of the London Mathematical Society. Second Series
2 Monatshefte für Mathematik
2 Results in Mathematics
2 Acta Mathematica Hungarica
2 Forum Mathematicum
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Applicable Algebra in Engineering, Communication and Computing
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Geometry
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the Brazilian Mathematical Society. New Series
2 European Journal of Pure and Applied Mathematics
2 Kyoto Journal of Mathematics
2 Afrika Matematika
2 Journal of Algebraic Systems
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Archive for History of Exact Sciences
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Algebra and Logic
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Collectanea Mathematica
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Journal of Computer and System Sciences
1 Journal of the Korean Mathematical Society
1 Mathematical Systems Theory
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Programming and Computer Software
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Siberian Mathematical Journal
1 Tohoku Mathematical Journal. Second Series
1 European Journal of Combinatorics
1 Combinatorica
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
...and 35 more Serials

Citations by Year

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