Edit Profile (opens in new tab) Krause, Günter Co-Author Distance Author ID: krause.gunter-r Published as: Krause, Günter; Krause, Günter R.; Krause, Guenter Rudolf; Krause, Guenter; Krause, G. R.; Krause, G. more...less Further Spellings: Krause, Günter Rudolf External Links: MGP · GND Documents Indexed: 34 Publications since 1969, including 2 Books 1 Further Contribution Reviewing Activity: 192 Reviews Biographic References: 1 Publication Co-Authors: 6 Co-Authors with 16 Joint Publications 118 Co-Co-Authors all top 5 Co-Authors 18 single-authored 5 Lenagan, Thomas H. 4 Goldie, Alfred W. 4 Teply, Mark L. 3 Kim, Paul 2 Albu, Toma 2 Stafford, J. Toby 1 Mo, Qiuhui 1 Zhang, Yang 1 Zhao, Xiangui all top 5 Serials 12 Journal of Algebra 4 Communications in Algebra 2 Canadian Journal of Mathematics 2 Journal of Pure and Applied Algebra 1 Israel Journal of Mathematics 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Graduate Studies in Mathematics 1 Research Notes in Mathematics (San Francisco) Fields 32 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 2 Commutative algebra (13-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 649 times in 598 Documents Cited by ▼ Year ▼ Growth of algebras and Gelfand-Kirillov dimension. Revised ed. Zbl 0957.16001 Krause, Günter R.; Lenagan, Thomas H. 269 2000 Growth of algebras and Gelfand-Kirillov dimension. Zbl 0564.16001 Krause, G. R.; Lenagan, T. H. 185 1985 On fully left bounded left Noetherian rings. Zbl 0249.16013 Krause, Günter 62 1972 On the Krull-dimension of left noetherian left Matlis-rings. Zbl 0194.06601 Krause, Günter 22 1970 Descending chains of submodules and the Krull-dimension of noetherian modules. Zbl 0275.16020 Krause, Günter 17 1973 Additive rank functions in Noetherian rings. Zbl 0696.16008 Krause, Günter 9 1990 Artinian quotient rings of ideal invariant Noetherian rings. Zbl 0428.16004 Goldie, Alfred; Krause, Günter 9 1980 Middle annihilators in Noetherian rings. Zbl 0429.16013 Krause, Günter 8 1980 Ideal invariance and Artinian quotient rings. Zbl 0409.16025 Krause, Günter; Lenagan, T. H.; Stafford, J. T. 7 1978 Transfinite powers of the Jacobson radical. Zbl 0405.16008 Krause, Günter; Lenagan, T. H. 7 1979 Krull dimension and Gabriel dimension of idealizers of semimaximal left ideals. Zbl 0317.16011 Krause, Günter 6 1976 Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension. Zbl 1002.16027 Albu, Toma; Krause, Günter; Teply, Mark L. 6 2001 The nilpotence of the \(\tau\)-closed prime radical in rings with \(\tau\)-Krull dimension. Zbl 0964.16033 Albu, Toma; Krause, Günter; Teply, Mark L. 6 2000 Local bijective Gabriel correspondence and relative fully boundedness in \(\tau\)-Noetherian rings. Zbl 0931.16013 Kim, Paul; Krause, Günter 5 1999 Ideal invariance and Artinian quotient rings. Zbl 0408.16002 Krause, Günter; Lenagan, T. H.; Stafford, J. T. 4 1978 Strongly regular elements of Noetherian rings. Zbl 0551.16005 Goldie, Alfred; Krause, Günter 4 1984 Gelfand-Kirillov dimension of generalized Weyl algebras (in memory of Guenter Rudolf Krause (1941–2015)). Zbl 1419.16017 Zhao, Xiangui; Mo, Qiuhui; Zhang, Yang 4 2018 Associated series and regular elements of Noetherian rings. Zbl 0621.16014 Goldie, Alfred; Krause, Günter 3 1987 Admissible modules and a characterization of reduced left artinian rings. Zbl 0185.09204 Krause, Günter R. 3 1970 The transfer of the Krull dimension and the Gabriel dimension to subidealizers. Zbl 0362.16010 Krause, Günter; Teply, Mark L. 3 1977 Some recent developments in the theory of Noetherian rings. Zbl 0383.16009 Krause, Günter 2 1978 Moduln über noetherschen Ringen, ihr Sockel und ihr Herz, ihre Charakteristik und ihr Träger. Zbl 0175.03204 Krause, Günter 2 1969 Additive rank functions and Gabriel filters in right Noetherian rings. Zbl 0702.16013 Krause, Günter 2 1990 Local bijective Gabriel correspondence and torsion theoretic FBN rings. Zbl 0888.16009 Kim, Paul; Krause, Günter 2 1997 Chaînes d’idéaux annulateurs d’un anneau noethérien. (Chains of annihilator ideals of a Noetherian ring). Zbl 0648.16011 Krause, Günter 1 1987 Zur Krull-Dimension linksnoetherscher Ringe. Zbl 0266.16023 Krause, G. 1 1973 The transfer of the Krull dimension and the Gabriel dimension to subidealizers: Erratum. Zbl 0384.16010 Krause, Günter; Teply, Mark L. 1 1978 Embedding rings with Krull dimension in Artinian rings. Zbl 0861.16015 Goldie, Alfred; Krause, Günter 1 1996 Flat embeddings of noetherian algebras in artinian rings. Zbl 0780.16020 Krause, Günter 1 1992 On rings whose injective indecomposable modules are finitely generated. Zbl 0211.36303 Krause, Guenter 1 1970 Gelfand-Kirillov dimension of generalized Weyl algebras (in memory of Guenter Rudolf Krause (1941–2015)). Zbl 1419.16017 Zhao, Xiangui; Mo, Qiuhui; Zhang, Yang 4 2018 Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension. Zbl 1002.16027 Albu, Toma; Krause, Günter; Teply, Mark L. 6 2001 Growth of algebras and Gelfand-Kirillov dimension. Revised ed. Zbl 0957.16001 Krause, Günter R.; Lenagan, Thomas H. 269 2000 The nilpotence of the \(\tau\)-closed prime radical in rings with \(\tau\)-Krull dimension. Zbl 0964.16033 Albu, Toma; Krause, Günter; Teply, Mark L. 6 2000 Local bijective Gabriel correspondence and relative fully boundedness in \(\tau\)-Noetherian rings. Zbl 0931.16013 Kim, Paul; Krause, Günter 5 1999 Local bijective Gabriel correspondence and torsion theoretic FBN rings. Zbl 0888.16009 Kim, Paul; Krause, Günter 2 1997 Embedding rings with Krull dimension in Artinian rings. Zbl 0861.16015 Goldie, Alfred; Krause, Günter 1 1996 Flat embeddings of noetherian algebras in artinian rings. Zbl 0780.16020 Krause, Günter 1 1992 Additive rank functions in Noetherian rings. Zbl 0696.16008 Krause, Günter 9 1990 Additive rank functions and Gabriel filters in right Noetherian rings. Zbl 0702.16013 Krause, Günter 2 1990 Associated series and regular elements of Noetherian rings. Zbl 0621.16014 Goldie, Alfred; Krause, Günter 3 1987 Chaînes d’idéaux annulateurs d’un anneau noethérien. (Chains of annihilator ideals of a Noetherian ring). Zbl 0648.16011 Krause, Günter 1 1987 Growth of algebras and Gelfand-Kirillov dimension. Zbl 0564.16001 Krause, G. R.; Lenagan, T. H. 185 1985 Strongly regular elements of Noetherian rings. Zbl 0551.16005 Goldie, Alfred; Krause, Günter 4 1984 Artinian quotient rings of ideal invariant Noetherian rings. Zbl 0428.16004 Goldie, Alfred; Krause, Günter 9 1980 Middle annihilators in Noetherian rings. Zbl 0429.16013 Krause, Günter 8 1980 Transfinite powers of the Jacobson radical. Zbl 0405.16008 Krause, Günter; Lenagan, T. H. 7 1979 Ideal invariance and Artinian quotient rings. Zbl 0409.16025 Krause, Günter; Lenagan, T. H.; Stafford, J. T. 7 1978 Ideal invariance and Artinian quotient rings. Zbl 0408.16002 Krause, Günter; Lenagan, T. H.; Stafford, J. T. 4 1978 Some recent developments in the theory of Noetherian rings. Zbl 0383.16009 Krause, Günter 2 1978 The transfer of the Krull dimension and the Gabriel dimension to subidealizers: Erratum. Zbl 0384.16010 Krause, Günter; Teply, Mark L. 1 1978 The transfer of the Krull dimension and the Gabriel dimension to subidealizers. Zbl 0362.16010 Krause, Günter; Teply, Mark L. 3 1977 Krull dimension and Gabriel dimension of idealizers of semimaximal left ideals. Zbl 0317.16011 Krause, Günter 6 1976 Descending chains of submodules and the Krull-dimension of noetherian modules. Zbl 0275.16020 Krause, Günter 17 1973 Zur Krull-Dimension linksnoetherscher Ringe. Zbl 0266.16023 Krause, G. 1 1973 On fully left bounded left Noetherian rings. Zbl 0249.16013 Krause, Günter 62 1972 On the Krull-dimension of left noetherian left Matlis-rings. Zbl 0194.06601 Krause, Günter 22 1970 Admissible modules and a characterization of reduced left artinian rings. Zbl 0185.09204 Krause, Günter R. 3 1970 On rings whose injective indecomposable modules are finitely generated. Zbl 0211.36303 Krause, Guenter 1 1970 Moduln über noetherschen Ringen, ihr Sockel und ihr Herz, ihre Charakteristik und ihr Träger. Zbl 0175.03204 Krause, Günter 2 1969 all cited Publications top 5 cited Publications all top 5 Cited by 478 Authors 37 Zhang, James J. 31 Bell, Jason P. 23 Okniński, Jan 20 Lenagan, Thomas H. 17 Krause, Günter 16 Bavula, Vladimir V. 16 Stafford, J. Toby 15 Petrogradsky, Victor Mikhaylovich 13 Smoktunowicz, Agata 11 Brown, Kenneth Alexander 11 Rogalski, Daniel 10 Davoudian, Maryam 9 Angiono, Iván Ezequiel 9 Centrone, Lucio 9 Goodearl, Kenneth R. 9 Launois, Stéphane 8 Andruskiewitsch, Nicolás 8 Jespers, Eric 8 Shirali, Nasrin 8 Smith, S. Paul 8 Warfield, Robert Breckenridge jun. 7 Kirkman, Ellen E. 7 Ríos Montes, José 7 Shneerson, L. M. 7 Small, Lance W. 6 Castro Pérez, Jaime 6 Cedó, Ferran 6 Gaddis, Jason 6 Gómez Torrecillas, José 6 Letzter, Edward S. 6 Samet-Vaillant, Aryeh Y. 5 Goldie, Alfred W. 5 Gordon, Robert 5 Levasseur, Thierry 5 Petukhov, Alexey V. 5 Rowen, Louis Halle 5 Shestakov, Ivan Pavlovich 5 van Oystaeyen, Freddy 5 Zel’manov, Efim Isaakovich 5 Zhuang, Guangbin 4 Bartholdi, Laurent 4 Beachy, John A. 4 Braun, Amiram 4 Drensky, Vesselin 4 Greenfeld, Be’eri 4 Kanel’-Belov, Alekseĭ Yakovlevich 4 Lomp, Christian 4 Millionshchikov, Dmitriĭ Vladimirovich 4 Müller, Bruno J. 4 Musson, Ian M. 4 Rigal, Laurent 4 Robson, J. Chris 4 Sanmarco, Guillermo 4 Teply, Mark L. 4 Won, Robert 4 Wu, Quanshui S. 4 Zhao, Xiangui 3 Artin, Michael 3 Bai, Zhanqiang 3 Bao, Yanhong 3 Beaulieu, Raymond A. 3 Bergen, Jeffrey 3 Boyle, Ann K. 3 Bueso, José Luis 3 El Kaoutit, Laiachi 3 Futorny, Vyacheslav M. 3 He, Jiwei 3 Heckenberger, István 3 Jensen, Anders 3 Karamzadeh, Omid Ali Shahni 3 Kuzmanovich, James J. 3 Lee, Heakyung 3 Levandovskyy, Viktor 3 Li, Huishi 3 Lu, Di-Ming 3 Mazorchuk, Volodymyr 3 Rangaswamy, Kulumani M. 3 Retakh, Alexander 3 Reyes, Manuel L. 3 Schwarz, João Fernando 3 Sierra, Susan J. 3 Tuganbaev, Askar Akanovich 3 Van den Bergh, Michel 3 Verschoren, Alain H. M. J. 3 Vonessen, Nikolaus 3 Wang, Dingguo 3 Wang, Xingting 3 Wang, Yanhua 3 Wiertel, Magdalena 2 Albu, Toma 2 Berele, Allan 2 Bois, Jean-Marie 2 Brookfield, Gary 2 Bui Xuan Hai 2 Campagnolo, Emiliano 2 Caracciolo, Sergio 2 Carvalho, Paula A. A. B. 2 Ceccherini-Silberstein, Tullio G. 2 Chakraborty, Partha Sarathi 2 Chan, Kenneth S. ...and 378 more Authors all top 5 Cited in 113 Serials 140 Journal of Algebra 84 Communications in Algebra 32 Journal of Pure and Applied Algebra 28 Transactions of the American Mathematical Society 23 Israel Journal of Mathematics 20 Proceedings of the American Mathematical Society 17 Algebras and Representation Theory 16 Advances in Mathematics 16 Journal of Algebra and its Applications 12 International Journal of Algebra and Computation 10 Mathematische Zeitschrift 7 Archiv der Mathematik 7 Glasgow Mathematical Journal 7 Proceedings of the Edinburgh Mathematical Society. Series II 6 Journal of Mathematical Sciences (New York) 6 São Paulo Journal of Mathematical Sciences 5 Inventiones Mathematicae 5 Selecta Mathematica. New Series 5 Journal of Noncommutative Geometry 4 Linear Algebra and its Applications 3 Beiträge zur Algebra und Geometrie 3 Annales de l’Institut Fourier 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Journal of Soviet Mathematics 3 Monatshefte für Mathematik 3 Advances in Applied Mathematics 3 Journal of the American Mathematical Society 3 Bulletin des Sciences Mathématiques 3 Representation Theory 2 Linear and Multilinear Algebra 2 Journal of Geometry and Physics 2 Acta Mathematica Vietnamica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Semigroup Forum 2 Acta Mathematica Hungarica 2 Journal of Symbolic Computation 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Lie Theory 2 Transformation Groups 2 Algebra and Discrete Mathematics 2 Mediterranean Journal of Mathematics 2 International Electronic Journal of Algebra (IEJA) 2 Algebra & Number Theory 2 Science China. Mathematics 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Kybernetika 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Revista Colombiana de Matemáticas 1 Revista de la Unión Matemática Argentina 1 Studies in Applied Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 St. Petersburg Mathematical Journal 1 Georgian Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Sbornik: Mathematics 1 Vietnam Journal of Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the American Mathematical Society 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics in Computer Science 1 Frontiers of Mathematics in China ...and 13 more Serials all top 5 Cited in 34 Fields 515 Associative rings and algebras (16-XX) 146 Nonassociative rings and algebras (17-XX) 78 Group theory and generalizations (20-XX) 49 Algebraic geometry (14-XX) 44 Commutative algebra (13-XX) 22 Combinatorics (05-XX) 22 Category theory; homological algebra (18-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 15 Computer science (68-XX) 10 Functional analysis (46-XX) 9 Topological groups, Lie groups (22-XX) 6 Mathematical logic and foundations (03-XX) 6 Number theory (11-XX) 6 Field theory and polynomials (12-XX) 6 Quantum theory (81-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Abstract harmonic analysis (43-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General algebraic systems (08-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year