## Prest, Mike

Compute Distance To:
 Author ID: prest.mike Published as: Prest, Mike; Prest, M.; Prest, M. Y. more...less Homepage: https://personalpages.manchester.ac.uk/staff/mike.prest/ External Links: MGP
 Documents Indexed: 86 Publications since 1978, including 5 Books Reviewing Activity: 82 Reviews Co-Authors: 36 Co-Authors with 51 Joint Publications 469 Co-Co-Authors
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### Co-Authors

 35 single-authored 5 Garkusha, Grigory 4 Marcja, Annalisa 4 Puninski, Gena 4 Puninski, Gennadi 4 Toffalori, Carlo 3 Barbieri Viale, Luca 3 Rajani, Ravi 3 Rothmaler, Philipp 2 Burke, Kevin C. 2 Crivei, Septimiu 2 Humphreys, John F. 2 Kucera, Thomas G. 2 Laking, Rosanna 2 Pillay, Anand 2 Puninskaya, V. A. 2 Puninskaya, Vera 2 Ziegler, Martin 1 Arnesen, Kristin Krogh 1 Baratella, Stefano 1 Estrada, Sergio 1 Gregory, Lorna 1 Guil Asensio, Pedro A. 1 Harland, Richard 1 Huber-Klawitter, Annette 1 Krause, Henning 1 L’Innocente, Sonia 1 Mehdi, Akeel Ramadan 1 Pauksztello, David 1 Point, Françoise 1 Ralph, Alexander 1 Reynders, Geert 1 Schröer, Jan 1 Slávik, Alexander 1 Torrecillas Jover, Blas 1 Trlifaj, Jan jun. 1 Wisbauer, Robert
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### Serials

 10 The Journal of Symbolic Logic 8 Journal of the London Mathematical Society. Second Series 7 Journal of Pure and Applied Algebra 6 Communications in Algebra 6 Journal of Algebra 3 Proceedings of the London Mathematical Society. Third Series 3 Annals of Pure and Applied Logic 3 Algebras and Representation Theory 2 Advances in Mathematics 2 Colloquium Mathematicum 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Algebra and its Applications 1 Russian Mathematical Surveys 1 Algebra i Logika 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Archive for Mathematical Logic 1 Applied Categorical Structures 1 The Quarterly Journal of Mathematics 1 Encyclopedia of Mathematics and Its Applications 1 London Mathematical Society Lecture Note Series 1 The Arabian Journal for Science and Engineering (AJSE). Mathematics
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### Fields

 64 Mathematical logic and foundations (03-XX) 56 Associative rings and algebras (16-XX) 24 Category theory; homological algebra (18-XX) 12 Commutative algebra (13-XX) 7 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 4 General algebraic systems (08-XX) 2 Number theory (11-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

78 Publications have been cited 699 times in 366 Documents Cited by Year
Model theory and modules. Zbl 0634.03025
Prest, Mike
1988
Purity, spectra and localisation. Zbl 1205.16002
Prest, Mike
2009
Covers in finitely accessible categories. Zbl 1213.18006
Crivei, Septimiu; Prest, Mike; Torrecillas, Blas
2010
Definable additive categories: purity and model theory. Zbl 1229.03034
Prest, Mike
2011
Rings described by various purities. Zbl 0943.16004
Puninski, Gennadi; Prest, Mike; Rothmaler, Philipp
1999
Ziegler spectra of tame hereditary algebras. Zbl 0936.16014
Prest, Mike
1998
Model category structures arising from Drinfeld vector bundles. Zbl 1266.14014
Estrada, Sergio; Guil Asensio, Pedro A.; Prest, Mike; Trlifaj, Jan
2012
Four concepts from “geometrical” stability theory in modules. Zbl 0772.03016
Kucera, T. G.; Prest, M.
1992
Duality and pure-semisimple rings. Zbl 0674.16019
Prest, Mike
1988
Remarks on elementary duality. Zbl 0798.16006
Prest, Mike
1993
Imaginary modules. Zbl 0768.03018
Kucera, T. G.; Prest, M.
1992
Absolutely pure and flat modules and “indiscrete” rings. Zbl 0837.03032
Prest, Mike; Rothmaler, Philipp; Ziegler, Martin
1995
The Ziegler and Zariski spectra of some domestic string algebras. Zbl 1061.16022
Burke, Kevin; Prest, Mike
2002
Rings of finite representation type and modules of finite Morley rank. Zbl 0538.16025
Prest, Mike
1984
Decidability for theories of modules. Zbl 0667.03028
Point, Françoise; Prest, Mike
1988
Representation embeddings and the Ziegler spectrum. Zbl 0903.16001
Prest, Mike
1996
One-directed indecomposable pure injective modules over string algebras. Zbl 1085.16011
Prest, Mike; Puninski, Gena
2004
Morphisms between finitely presented modules and infinite-dimensional representations. Zbl 0983.16008
Prest, Mike
1998
Some model theory over hereditary Noetherian domains. Zbl 0942.16003
1999
Some model-theoretic aspects of torsion theories. Zbl 0398.03019
Prest, M. Y.
1978
Triangulated categories and the Ziegler spectrum. Zbl 1126.18005
Garkusha, Grigory; Prest, Mike
2005
Forking and pushouts in modules. Zbl 0509.03018
Pillay, Anand; Prest, Mike
1983
Extensions of elementary duality. Zbl 0801.03028
Prest, Mike; Rothmaler, Phillip; Ziegler, Martin
1994
The generalised RK-order, orthogonality and regular types for modules. Zbl 0614.03029
Prest, Mike
1985
The Ziegler spectrum for derived-discrete algebras. Zbl 1406.16007
Arnesen, Kristin Krogh; Laking, Rosanna; Pauksztello, David; Prest, Mike
2017
Elementary torsion theories and locally finitely presented categories. Zbl 0453.18009
Prest, Mike
1980
Classifying Serre subcategories of finitely presented modules. Zbl 1133.13007
Garkusha, Grigory; Prest, Mike
2008
Rings of definable scalars and biendomorphism rings. Zbl 0908.16026
Burke, Kevin; Prest, Mike
1997
Pure injective envelopes of finite length modules over a generalized Weyl algebra. Zbl 1023.16003
2002
Ringel’s conjecture for domestic string algebras. Zbl 1385.16011
Puninski, Gena; Prest, Mike
2016
The stability classification for abelian-by-finite groups and modules over a group ring. Zbl 0810.03030
Marcja, Annalisa; Prest, Mike; Toffalori, Carlo
1993
Model theory and modules. Zbl 1083.16001
Prest, Mike
2003
Modules with irrational slope over tubular algebras. Zbl 1369.16015
Harland, Richard; Prest, Mike
2015
Torsion classes of finite type and spectra. Zbl 1211.14007
Garkusha, Grigory; Prest, Mike
2008
Structure sheaves of definable additive categories. Zbl 1203.18011
Prest, Mike; Rajani, Ravi
2010
Epimorphisms of rings, interpretations of modules and strictly wild algebras. Zbl 0853.03011
Prest, Mike
1996
Pure-injective modules over the dihedral algebras. Zbl 0880.16001
Baratella, Stefano; Prest, Mike
1997
Interpreting modules in modules. Zbl 0946.03044
Prest, Mike
1997
Krull-Gabriel dimension of 1-domestic string algebras. Zbl 1187.16012
Prest, Mike; Puninski, Gena
2006
Wild representation type and undecidability. Zbl 0735.16011
Prest, Mike
1991
Pure-injective modules. Zbl 1192.16003
Prest, Mike
2009
Finite presentation and purity in categories $$\sigma[M]$$. Zbl 1061.16009
Prest, Mike; Wisbauer, Robert
2004
Serial functors, Jacobson radical and representation type. Zbl 1060.16019
Prest, Mike; Schröer, Jan
2002
Some model theory of sheaves of modules. Zbl 1081.03035
Prest, Mike; Puninskaya, Vera; Ralph, Alexander
2004
Krull-Gabriel dimension of domestic string algebras. Zbl 06862797
Laking, Rosanna; Prest, Mike; Puninski, Gena
2018
Modules and stability theory. Zbl 0617.03018
Pillay, Anand; Prest, Mike
1987
Representation embeddings, interpretation functors and controlled wild algebras. Zbl 1367.16011
Gregory, Lorna; Prest, Mike
2016
Reconstructing projective schemes from Serre subcategories. Zbl 1143.14015
Garkusha, Grigory; Prest, Mike
2008
Topological and geometric aspects of the Ziegler spectrum. Zbl 0997.16001
Prest, Mike
2000
The torsionfree part of the Ziegler spectrum of $$RG$$ when $$R$$ is a Dedekind domain and $$G$$ is a finite group. Zbl 1024.03035
Marcja, A.; Prest, M.; Toffalori, C.
2002
Injective objects in triangulated categories. Zbl 1068.18011
Garkusha, Grigory; Prest, Mike
2004
Almost dual pairs and definable classes of modules. Zbl 1357.16014
2015
Prest, Mike
2009
Superdecomposable pure-injective modules. Zbl 1354.16004
Prest, Mike
2014
Rings of definable scalars of Verma modules. Zbl 1152.03026
L’Innocente, Sonia; Prest, Mike
2007
Model-theoretic imaginaries and coherent sheaves. Zbl 1205.03050
Rajani, Ravi; Prest, Mike
2009
On the undecidability of some classes of abelian-by-finite groups. Zbl 0784.03011
Marcja, Annalisa; Prest, Mike; Toffalori, Carlo
1993
Modules with few types over some finite-dimensional algebras. Zbl 1023.03030
Prest, Mike; Puninskaya, Vera
2002
Definable categories and $$\mathbb T$$-motives. Zbl 1395.18012
Barbieri-Viale, Luca; Prest, Mike
2018
Torsion and universal Horn classes of modules. Zbl 0396.18005
Prest, Mike
1979
Model theory for algebra. Zbl 1078.03031
Prest, Mike
2003
Ideals in mod-$$R$$ and the $$\omega$$-radical. Zbl 1091.16003
Prest, Mike
2005
Model theory in additive categories. Zbl 1243.03053
Prest, Mike
2011
Model-completions of some theories of modules. Zbl 0426.03035
Prest, Mike
1979
Quantifier elimination for modules. Zbl 0479.03019
Prest, Mike
1981
Tensor structure for Nori motives. Zbl 1454.14062
Barbieri-Viale, Luca; Huber, Annette; Prest, Mike
2020
Multisorted modules and their model theory. Zbl 1478.03069
Prest, Mike
2019
Model theory of comodules. Zbl 1074.03014
Crivei, Septimiu; Prest, Mike; Reynders, Geert
2004
$$\Sigma$$-pure-injective modules over a commutative Prüfer ring. Zbl 0934.13007
1999
Classification theory for abelian groups with an endomorphism. Zbl 0723.03020
Marcja, Annalisa; Prest, Mike; Toffalori, Carlo
1991
Vaught’s conjecture for modules over a commutative Prüfer ring. Zbl 0930.03038
Prest, M.; Puninskaya, V. A.
1999
The sheaf of locally definable scalars over a ring. Zbl 0983.03032
Prest, Mike
1999
Model theory and representation type of algebras. Zbl 0649.03025
Prest, Mike
1988
Pure-injectivity and model theory for $$G$$-sets. Zbl 1168.03023
Prest, Mike; Rajani, Ravi
2009
Numbers, groups and codes. 2nd ed. Zbl 1052.00006
Humphreys, J. F.; Prest, M. Y.
2004
Modules as exact functors. Zbl 1422.16005
Prest, Mike
2018
Tensor product and theories of modules. Zbl 0932.03040
Prest, Mike
1999
The Gabriel-Roiter filtration of the Ziegler spectrum. Zbl 1310.16011
Krause, Henning; Prest, Mike
2013
Tensor structure for Nori motives. Zbl 1454.14062
Barbieri-Viale, Luca; Huber, Annette; Prest, Mike
2020
Multisorted modules and their model theory. Zbl 1478.03069
Prest, Mike
2019
Krull-Gabriel dimension of domestic string algebras. Zbl 06862797
Laking, Rosanna; Prest, Mike; Puninski, Gena
2018
Definable categories and $$\mathbb T$$-motives. Zbl 1395.18012
Barbieri-Viale, Luca; Prest, Mike
2018
Modules as exact functors. Zbl 1422.16005
Prest, Mike
2018
The Ziegler spectrum for derived-discrete algebras. Zbl 1406.16007
Arnesen, Kristin Krogh; Laking, Rosanna; Pauksztello, David; Prest, Mike
2017
Ringel’s conjecture for domestic string algebras. Zbl 1385.16011
Puninski, Gena; Prest, Mike
2016
Representation embeddings, interpretation functors and controlled wild algebras. Zbl 1367.16011
Gregory, Lorna; Prest, Mike
2016
Modules with irrational slope over tubular algebras. Zbl 1369.16015
Harland, Richard; Prest, Mike
2015
Almost dual pairs and definable classes of modules. Zbl 1357.16014
2015
Superdecomposable pure-injective modules. Zbl 1354.16004
Prest, Mike
2014
The Gabriel-Roiter filtration of the Ziegler spectrum. Zbl 1310.16011
Krause, Henning; Prest, Mike
2013
Model category structures arising from Drinfeld vector bundles. Zbl 1266.14014
Estrada, Sergio; Guil Asensio, Pedro A.; Prest, Mike; Trlifaj, Jan
2012
Definable additive categories: purity and model theory. Zbl 1229.03034
Prest, Mike
2011
Model theory in additive categories. Zbl 1243.03053
Prest, Mike
2011
Covers in finitely accessible categories. Zbl 1213.18006
Crivei, Septimiu; Prest, Mike; Torrecillas, Blas
2010
Structure sheaves of definable additive categories. Zbl 1203.18011
Prest, Mike; Rajani, Ravi
2010
Purity, spectra and localisation. Zbl 1205.16002
Prest, Mike
2009
Pure-injective modules. Zbl 1192.16003
Prest, Mike
2009
Prest, Mike
2009
Model-theoretic imaginaries and coherent sheaves. Zbl 1205.03050
Rajani, Ravi; Prest, Mike
2009
Pure-injectivity and model theory for $$G$$-sets. Zbl 1168.03023
Prest, Mike; Rajani, Ravi
2009
Classifying Serre subcategories of finitely presented modules. Zbl 1133.13007
Garkusha, Grigory; Prest, Mike
2008
Torsion classes of finite type and spectra. Zbl 1211.14007
Garkusha, Grigory; Prest, Mike
2008
Reconstructing projective schemes from Serre subcategories. Zbl 1143.14015
Garkusha, Grigory; Prest, Mike
2008
Rings of definable scalars of Verma modules. Zbl 1152.03026
L&rsquo;Innocente, Sonia; Prest, Mike
2007
Krull-Gabriel dimension of 1-domestic string algebras. Zbl 1187.16012
Prest, Mike; Puninski, Gena
2006
Triangulated categories and the Ziegler spectrum. Zbl 1126.18005
Garkusha, Grigory; Prest, Mike
2005
Ideals in mod-$$R$$ and the $$\omega$$-radical. Zbl 1091.16003
Prest, Mike
2005
One-directed indecomposable pure injective modules over string algebras. Zbl 1085.16011
Prest, Mike; Puninski, Gena
2004
Finite presentation and purity in categories $$\sigma[M]$$. Zbl 1061.16009
Prest, Mike; Wisbauer, Robert
2004
Some model theory of sheaves of modules. Zbl 1081.03035
Prest, Mike; Puninskaya, Vera; Ralph, Alexander
2004
Injective objects in triangulated categories. Zbl 1068.18011
Garkusha, Grigory; Prest, Mike
2004
Model theory of comodules. Zbl 1074.03014
Crivei, Septimiu; Prest, Mike; Reynders, Geert
2004
Numbers, groups and codes. 2nd ed. Zbl 1052.00006
Humphreys, J. F.; Prest, M. Y.
2004
Model theory and modules. Zbl 1083.16001
Prest, Mike
2003
Model theory for algebra. Zbl 1078.03031
Prest, Mike
2003
The Ziegler and Zariski spectra of some domestic string algebras. Zbl 1061.16022
Burke, Kevin; Prest, Mike
2002
Pure injective envelopes of finite length modules over a generalized Weyl algebra. Zbl 1023.16003
2002
Serial functors, Jacobson radical and representation type. Zbl 1060.16019
Prest, Mike; Schröer, Jan
2002
The torsionfree part of the Ziegler spectrum of $$RG$$ when $$R$$ is a Dedekind domain and $$G$$ is a finite group. Zbl 1024.03035
Marcja, A.; Prest, M.; Toffalori, C.
2002
Modules with few types over some finite-dimensional algebras. Zbl 1023.03030
Prest, Mike; Puninskaya, Vera
2002
Topological and geometric aspects of the Ziegler spectrum. Zbl 0997.16001
Prest, Mike
2000
Rings described by various purities. Zbl 0943.16004
Puninski, Gennadi; Prest, Mike; Rothmaler, Philipp
1999
Some model theory over hereditary Noetherian domains. Zbl 0942.16003
1999
$$\Sigma$$-pure-injective modules over a commutative Prüfer ring. Zbl 0934.13007
1999
Vaught’s conjecture for modules over a commutative Prüfer ring. Zbl 0930.03038
Prest, M.; Puninskaya, V. A.
1999
The sheaf of locally definable scalars over a ring. Zbl 0983.03032
Prest, Mike
1999
Tensor product and theories of modules. Zbl 0932.03040
Prest, Mike
1999
Ziegler spectra of tame hereditary algebras. Zbl 0936.16014
Prest, Mike
1998
Morphisms between finitely presented modules and infinite-dimensional representations. Zbl 0983.16008
Prest, Mike
1998
Rings of definable scalars and biendomorphism rings. Zbl 0908.16026
Burke, Kevin; Prest, Mike
1997
Pure-injective modules over the dihedral algebras. Zbl 0880.16001
Baratella, Stefano; Prest, Mike
1997
Interpreting modules in modules. Zbl 0946.03044
Prest, Mike
1997
Representation embeddings and the Ziegler spectrum. Zbl 0903.16001
Prest, Mike
1996
Epimorphisms of rings, interpretations of modules and strictly wild algebras. Zbl 0853.03011
Prest, Mike
1996
Absolutely pure and flat modules and “indiscrete” rings. Zbl 0837.03032
Prest, Mike; Rothmaler, Philipp; Ziegler, Martin
1995
Extensions of elementary duality. Zbl 0801.03028
Prest, Mike; Rothmaler, Phillip; Ziegler, Martin
1994
Remarks on elementary duality. Zbl 0798.16006
Prest, Mike
1993
The stability classification for abelian-by-finite groups and modules over a group ring. Zbl 0810.03030
Marcja, Annalisa; Prest, Mike; Toffalori, Carlo
1993
On the undecidability of some classes of abelian-by-finite groups. Zbl 0784.03011
Marcja, Annalisa; Prest, Mike; Toffalori, Carlo
1993
Four concepts from “geometrical” stability theory in modules. Zbl 0772.03016
Kucera, T. G.; Prest, M.
1992
Imaginary modules. Zbl 0768.03018
Kucera, T. G.; Prest, M.
1992
Wild representation type and undecidability. Zbl 0735.16011
Prest, Mike
1991
Classification theory for abelian groups with an endomorphism. Zbl 0723.03020
Marcja, Annalisa; Prest, Mike; Toffalori, Carlo
1991
Model theory and modules. Zbl 0634.03025
Prest, Mike
1988
Duality and pure-semisimple rings. Zbl 0674.16019
Prest, Mike
1988
Decidability for theories of modules. Zbl 0667.03028
Point, Françoise; Prest, Mike
1988
Model theory and representation type of algebras. Zbl 0649.03025
Prest, Mike
1988
Modules and stability theory. Zbl 0617.03018
Pillay, Anand; Prest, Mike
1987
The generalised RK-order, orthogonality and regular types for modules. Zbl 0614.03029
Prest, Mike
1985
Rings of finite representation type and modules of finite Morley rank. Zbl 0538.16025
Prest, Mike
1984
Forking and pushouts in modules. Zbl 0509.03018
Pillay, Anand; Prest, Mike
1983
Quantifier elimination for modules. Zbl 0479.03019
Prest, Mike
1981
Elementary torsion theories and locally finitely presented categories. Zbl 0453.18009
Prest, Mike
1980
Torsion and universal Horn classes of modules. Zbl 0396.18005
Prest, Mike
1979
Model-completions of some theories of modules. Zbl 0426.03035
Prest, Mike
1979
Some model-theoretic aspects of torsion theories. Zbl 0398.03019
Prest, M. Y.
1978
all top 5

all top 5

### Cited in 79 Serials

 50 Journal of Pure and Applied Algebra 42 Communications in Algebra 37 Journal of Algebra 25 Annals of Pure and Applied Logic 15 Journal of Algebra and its Applications 14 The Journal of Symbolic Logic 12 Advances in Mathematics 12 Proceedings of the American Mathematical Society 11 Algebras and Representation Theory 7 Israel Journal of Mathematics 7 Transactions of the American Mathematical Society 6 Documenta Mathematica 5 Mathematische Zeitschrift 4 Mathematical Notes 4 Archive for Mathematical Logic 3 Algebra and Logic 3 Glasgow Mathematical Journal 3 Mathematische Annalen 3 Notre Dame Journal of Formal Logic 3 Rendiconti del Seminario Matematico della Università di Padova 3 Bulletin of the Iranian Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Mediterranean Journal of Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Siberian Mathematical Journal 2 Publicacions Matemàtiques 2 Forum Mathematicum 2 Discrete Event Dynamic Systems 2 Chinese Science Bulletin 2 Applied Categorical Structures 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of Mathematical Sciences 2 Journal of Mathematics 1 Archiv für Mathematische Logik und Grundlagenforschung 1 Bulletin of the Australian Mathematical Society 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 1 Algebra Universalis 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 International Journal of Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 St. Petersburg Mathematical Journal 1 Mathematical Logic Quarterly (MLQ) 1 Turkish Journal of Mathematics 1 Filomat 1 The Bulletin of Symbolic Logic 1 Doklady Mathematics 1 Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Mathematical Logic 1 Journal of the Australian Mathematical Society 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Noncommutative Geometry 1 International Electronic Journal of Algebra (IEJA) 1 Journal of $$K$$-Theory 1 Confluentes Mathematici 1 Journal of Commutative Algebra
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### Cited in 26 Fields

 238 Associative rings and algebras (16-XX) 145 Mathematical logic and foundations (03-XX) 144 Category theory; homological algebra (18-XX) 74 Commutative algebra (13-XX) 29 Group theory and generalizations (20-XX) 21 Algebraic geometry (14-XX) 13 Algebraic topology (55-XX) 7 Field theory and polynomials (12-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 General algebraic systems (08-XX) 5 $$K$$-theory (19-XX) 4 Number theory (11-XX) 4 Nonassociative rings and algebras (17-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)