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Kirby, David

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Author ID: kirby.david Recent zbMATH articles by "Kirby, David"
Published as: Kirby, D.; Kirby, David
Documents Indexed: 55 Publications since 1955
Reviewing Activity: 92 Reviews

Publications by Year

Citations contained in zbMATH

34 Publications have been cited 289 times in 239 Documents Cited by Year
Artinian modules and Hilbert polynomials. Zbl 0248.13020
Kirby, D.
46
1973
Dimension and length for Artinian modules. Zbl 0724.13015
Kirby, David
45
1990
Multiplicities in graded rings. I: The general theory. Zbl 0805.13001
Kirby, D.; Rees, D.
26
1994
Coprimary decomposition of Artinian modules. Zbl 0254.13022
Kirby, D.
18
1973
Multiplicities in graded rings. II: Integral equivalence and the Buchsbaum-Rim multiplicity. Zbl 0877.13023
Kirby, D.; Rees, D.
17
1996
A sequence of complexes associated with a matrix. Zbl 0274.18018
Kirby, D.
14
1974
The structure of an isolated multiple point of a surface. I-III. Zbl 0079.37003
Kirby, D.
14
1956
Closure operations on ideals and submodules. Zbl 0159.33502
Kirby, D.
13
1969
A note on the coefficients of the Hilbert-Samuel polynomial for a Cohen- Macaulay module. Zbl 0455.13005
Kirby, David; Mehran, Hefzi A.
11
1982
The reduction number of a one-dimensional local ring. Zbl 0305.13017
Kirby, D.
11
1975
On the Buchsbaum-Rim multiplicity associated with a matrix. Zbl 0533.13004
Kirby, D.
10
1985
A note on superficial elements of an ideal in a local ring. Zbl 0115.03301
Kirby, D.
8
1963
Hilbert functions and the Koszul complex. Zbl 0442.13010
Kirby, David; Mehran, Hefzi A.
7
1981
Integer matrices of finite order. Zbl 0257.15013
Kirby, David
6
1969
On the Koszul homology modules for the powers of a multiplicity system. Zbl 0591.13011
Garcia Roig, J.-L.; Kirby, D.
5
1986
Hilbert functions and the extension functor. Zbl 0689.13004
Kirby, David
4
1989
Graded multiplicity theory and Hilbert functions. Zbl 0649.13010
Kirby, David
4
1987
Multiplicity in algebra and geometry. Zbl 0852.13009
Kirby, David
3
1995
Integral dependence and valuation algebras. Zbl 0186.35402
Kirby, D.
3
1970
Components of ideals in a commutative ring. Zbl 0139.26501
Kirby, D.
3
1966
The genus of an algebraic curve. Zbl 0103.14302
Kirby, D.
3
1961
The multiplicity of a set of homogeneous polynomials over a commutative ring. Zbl 0971.13014
Kirby, David; Rees, David
2
1998
Generalized Koszul complexes and the extension functor. Zbl 0716.13010
Kirby, David
2
1990
On Bézout’s theorem. Zbl 0685.14005
Kirby, David
2
1988
The homological grade of a module. Zbl 0635.13003
Kirby, David; Mehran, Hefzi A.
2
1988
Homomorphisms and the space of valuation modules. Zbl 0204.36802
Kirby, D.; Mehran, H. A.
2
1970
Towards a theory of \(R\)-modules modulo a Serre category. Zbl 0757.13006
Kirby, David
1
1992
Hilbert polynomials and powers of an ideal. Zbl 0296.13020
Kirby, D.
1
1974
Relations between generalized Koszul complexes. Zbl 0275.13017
Kirby, David
1
1974
Isomorphic Koszu l complexes. Zbl 0265.13008
Kirby, D.
1
1973
Fractional powers of a submodule of an algebra. Zbl 0221.13008
Kirby, D.; Mehran, H. A.
1
1971
Birational transformations and Hilbert functions. Zbl 0098.34303
Kirby, D.
1
1961
The defekt of a one-dimensional local ring. Zbl 0129.02204
Kirby, D.
1
1959
Local dilatation. Zbl 0065.13903
Semple, J. G.; Kirby, D.
1
1955
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
Multiplicity in algebra and geometry. Zbl 0852.13009
Kirby, David
3
1995
Multiplicities in graded rings. I: The general theory. Zbl 0805.13001
Kirby, D.; Rees, D.
26
1994
Towards a theory of \(R\)-modules modulo a Serre category. Zbl 0757.13006
Kirby, David
1
1992
Dimension and length for Artinian modules. Zbl 0724.13015
Kirby, David
45
1990
Generalized Koszul complexes and the extension functor. Zbl 0716.13010
Kirby, David
2
1990
Hilbert functions and the extension functor. Zbl 0689.13004
Kirby, David
4
1989
On Bézout’s theorem. Zbl 0685.14005
Kirby, David
2
1988
The homological grade of a module. Zbl 0635.13003
Kirby, David; Mehran, Hefzi A.
2
1988
Graded multiplicity theory and Hilbert functions. Zbl 0649.13010
Kirby, David
4
1987
On the Koszul homology modules for the powers of a multiplicity system. Zbl 0591.13011
Garcia Roig, J.-L.; Kirby, D.
5
1986
On the Buchsbaum-Rim multiplicity associated with a matrix. Zbl 0533.13004
Kirby, D.
10
1985
A note on the coefficients of the Hilbert-Samuel polynomial for a Cohen- Macaulay module. Zbl 0455.13005
Kirby, David; Mehran, Hefzi A.
11
1982
Hilbert functions and the Koszul complex. Zbl 0442.13010
Kirby, David; Mehran, Hefzi A.
7
1981
The reduction number of a one-dimensional local ring. Zbl 0305.13017
Kirby, D.
11
1975
A sequence of complexes associated with a matrix. Zbl 0274.18018
Kirby, D.
14
1974
Hilbert polynomials and powers of an ideal. Zbl 0296.13020
Kirby, D.
1
1974
Relations between generalized Koszul complexes. Zbl 0275.13017
Kirby, David
1
1974
Artinian modules and Hilbert polynomials. Zbl 0248.13020
Kirby, D.
46
1973
Coprimary decomposition of Artinian modules. Zbl 0254.13022
Kirby, D.
18
1973
Isomorphic Koszu l complexes. Zbl 0265.13008
Kirby, D.
1
1973
Fractional powers of a submodule of an algebra. Zbl 0221.13008
Kirby, D.; Mehran, H. A.
1
1971
Integral dependence and valuation algebras. Zbl 0186.35402
Kirby, D.
3
1970
Homomorphisms and the space of valuation modules. Zbl 0204.36802
Kirby, D.; Mehran, H. A.
2
1970
Closure operations on ideals and submodules. Zbl 0159.33502
Kirby, D.
13
1969
Integer matrices of finite order. Zbl 0257.15013
Kirby, David
6
1969
Components of ideals in a commutative ring. Zbl 0139.26501
Kirby, D.
3
1966
A note on superficial elements of an ideal in a local ring. Zbl 0115.03301
Kirby, D.
8
1963
The genus of an algebraic curve. Zbl 0103.14302
Kirby, D.
3
1961
Birational transformations and Hilbert functions. Zbl 0098.34303
Kirby, D.
1
1961
The defekt of a one-dimensional local ring. Zbl 0129.02204
Kirby, D.
1
1959
The structure of an isolated multiple point of a surface. I-III. Zbl 0079.37003
Kirby, D.
14
1956
Local dilatation. Zbl 0065.13903
Semple, J. G.; Kirby, D.
1
1955
all top 5

Cited by 220 Authors

10 Lê Thanh Nhàn
10 Nguyen Tu Cuong
10 Sharp, Rodney Y.
9 Davoudian, Maryam
8 Duong Quôc Việt
8 Kirby, David
7 Elias, Juan
7 Hayasaka, Futoshi
6 Jorge Pérez, Victor Hugo
6 Melkersson, Leif
5 Thanh, Truong Thi Hong
5 Tiraş, Yücel
5 Tran Tuan Nam
5 Verma, Jugal Kishore
4 Hyry, Eero
4 Rossi, Maria Evelina
4 Sazeedeh, Reza
4 Shirali, Nasrin
4 Tran Nguyen An
4 Valla, Giuseppe
3 Brodmann, Markus P.
3 Dung, Le Xuan
3 Karamzadeh, Omid Ali Shahni
3 Kleppe, Jan Oddvar
3 Liu, Jung-Chen
3 Majadas, Javier
3 Sarkar, Parangama
3 Taherizadeh, A.-J.
3 Tang, Zhongming
2 Bivià-Ausina, Carles
2 Blanco, Amalia
2 Callejas-Bedregal, Roberto
2 Çeken, Seçil
2 Chau Tran Do Minh
2 Dinh, Le Van
2 Doan Trung Cuong
2 Eisenbud, David
2 Epstein, Neil
2 Gottlieb, Christian
2 Jayanthan, A. V.
2 Katz, Daniel
2 Kleiman, Steven Lawrence
2 Lê Tuâń Hoa
2 Lelekaami, Dawood Hassanzadeh
2 Masuti, Shreedevi Kalyani
2 Mikhalëv, Aleksandr Vasil’evich
2 Mirò-Roig, Rosa Maria
2 Mohan, Radha
2 Morales, Marcel
2 Nguyen Thi Dung
2 Niefield, Susan B.
2 Rezaei, Shahram
2 Rodicio, Antonio Garcia
2 Rohrer, Fred
2 Rosenthal, Kimmo I.
2 Saremi, Hero
2 Schenzel, Peter
2 Sedghi, Monireh
2 Theodorescu, Emanoil
2 Tomari, Masataka
2 Toroghy, H. Ansari
2 Vasconcelos, Wolmer V.
2 Vassilev, Janet Cowden
2 Vogel, Wolfgang
2 Yau, Stephen Shing-Toung
2 Yen, Do Ngoc
2 Zakeri, Hossein
1 Abuhlail, Jawad Y.
1 Adranghi, M. R.
1 Alehaftta, A. R.
1 Alkan, Mustafa
1 Almkvist, Gert
1 Amini, Afshin
1 Amini, Babak
1 Anderson, Daniel D.
1 Anderson, Douglas Ross
1 Ansari-Toroghy, Habibollah
1 Auckly, David R.
1 Bach, Eric
1 Banda, Adson
1 Bergman, George M.
1 Blancafort, Cristina
1 Bondil, Romain
1 Brennan, Joseph Phillip
1 Brieskorn, Egbert
1 Broaddus, Nathan
1 Brown, William C.
1 Buchsbaum, David A.
1 Chambless, Lloyd E.
1 Chan, Chin-Yi Jean
1 Chen, Huayi
1 Chen, Shan-Huo
1 Cheng, Eric Dahai
1 Chu, Lizhong
1 Ciliberto, Ciro
1 Cortadellas Benítez, Teresa
1 Cutkosky, Steven Dale
1 Dark, Rex S.
1 David, John E.
1 De Freitas, Thiago Henrique
...and 120 more Authors
all top 5

Cited in 75 Serials

38 Communications in Algebra
37 Journal of Algebra
13 Journal of Pure and Applied Algebra
11 Journal of Algebra and its Applications
10 Proceedings of the American Mathematical Society
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Algebra Colloquium
7 Inventiones Mathematicae
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Transactions of the American Mathematical Society
4 Glasgow Mathematical Journal
3 Acta Mathematica Vietnamica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Manuscripta Mathematica
3 Mathematika
3 Nagoya Mathematical Journal
2 Annales de l’Institut Fourier
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Quaestiones Mathematicae
2 Semigroup Forum
2 Tokyo Journal of Mathematics
2 Topology and its Applications
2 Bulletin of the Korean Mathematical Society
2 Forum Mathematicum
2 International Journal of Algebra and Computation
2 Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Colloquium Mathematicum
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Journal of the Korean Mathematical Society
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Cybernetics
1 Bulletin of the Iranian Mathematical Society
1 Journal of the American Mathematical Society
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 Journal of Functional Programming
1 Vietnam Journal of Mathematics
1 Algebras and Representation Theory
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Mediterranean Journal of Mathematics
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Logica Universalis
1 Journal of Commutative Algebra
1 ISRN Geometry
1 Palestine Journal of Mathematics
1 Open Mathematics

Citations by Year