Edit Profile (opens in new tab) Sathaye, Avinash Co-Author Distance Author ID: sathaye.avinash Published as: Sathaye, Avinash; Sathaye, A.; Sathaye, A. M. more...less Homepage: http://www.ms.uky.edu/~sohum/ External Links: MGP Documents Indexed: 27 Publications since 1974, including 1 Book 4 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 14 Co-Authors with 20 Joint Publications 328 Co-Co-Authors all top 5 Co-Authors 10 single-authored 6 Abhyankar, Shreeram Shankar 6 Eakin, Paul M. jun. 3 Heinzer, William J. 3 Russell, Peter K. 1 Abhyankar, Yvonne 1 Alahmadi, Adel N. 1 Assi, Abdallah 1 Bajai, Chanderjit 1 Bajaj, Chandrajit L. 1 Christensen, Chris 1 Cutkosky, Steven Dale 1 Harbater, Dale 1 Jain, Surender Kumar 1 Leroy, André Gérard 1 Lipman, Joseph 1 Mulay, Shashikant B. 1 Mumford, David Bryant 1 Ou, Jun 1 Pervine, Robert 1 Shah, Swarupchand M. 1 Shannon, David L. 1 Stenerson, Jon 1 Sundaram, Ganesh 1 Thakur, Dinesh S. 1 van der Put, Marius all top 5 Serials 5 Journal of Algebra 3 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Gaṇita-Bhāratī 1 Discrete Mathematics 1 American Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Notices of the American Mathematical Society 1 ELA. The Electronic Journal of Linear Algebra 1 European Mathematical Society Newsletter 1 Lecture Notes in Mathematics 1 Séminaire de Mathématiques Supérieures all top 5 Fields 19 Algebraic geometry (14-XX) 17 Commutative algebra (13-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 345 times in 312 Documents Cited by ▼ Year ▼ Jacobian ideals and a theorem of Briancon-Skoda. Zbl 0438.13019 Lipman, Joseph; Sathaye, Avinash 56 1981 Prestable ideals. Zbl 0348.13012 Eakin, Paul; Sathaye, Avinash 54 1976 Polynomial ring in two variables over a D.V.R.: A criterion. Zbl 0538.13006 Sathaye, A. 41 1983 On finding and cancelling variables in k[X,Y,Z]. Zbl 0411.13011 Russell, Peter; Sathaye, Avinash 41 1979 On linear planes. Zbl 0345.14013 Sathaye, Avinash 24 1976 \(R\)-endomorphisms of \(R[[X]]\) are essentially continuous. Zbl 0362.13010 Eakin, Paul; Sathaye, Avinash 16 1976 On automorphisms and derivations of Cayley-Dickson algebras. Zbl 0699.17022 Eakin, Paul; Sathaye, Avinash 16 1990 On the Forster-Eisenbud-Evans conjectures. Zbl 0382.13004 Sathaye, Avinash 13 1978 On planar curves. Zbl 0386.14017 Sathaye, Avinash 12 1977 Alternating group coverings of the affine line for characteristic two. Zbl 0833.14017 Abhyankar, Shreeram S.; Ou, Jun; Sathaye, Avinash 12 1994 Geometric theory of algebraic space curves. Zbl 0357.14008 Abhyankar, S. S.; Sathaye, A. M. 10 1974 Some remarks on the Jacobian question. (Notes by Marius van der Put and William Heinzer, updated by Avinash Sathaye). Zbl 0812.13013 Abhyankar, Shreeram S. 9 1994 Translates of polynomials. Zbl 1053.14011 Abhyankar, Shreeram S.; Heinzer, William J.; Sathaye, Avinash 7 2003 Algebraic space curves. Edited by P. Russell and A. Sathaye. Zbl 0245.14009 Abhyankar, Shreeram S. 7 1971 Plane polynomial curves. Zbl 0809.14022 Sathaye, Avinash; Stenerson, Jon 7 1994 Analytic extensions of a commutative ring. Zbl 0672.13009 Eakin, Paul; Sathaye, Avinash; Pervine, Robert 6 1987 Generalized Newton-Puiseux expansion and Abhyankar-Moh semigroup theorem. Zbl 0549.14001 Sathaye, A. 6 1983 Uniqueness of plane embeddings of special curves. Zbl 0880.14012 Abhyankar, Shreeram S.; Sathaye, Avinash 6 1996 Convergence sets of divergent power series. Zbl 0334.13010 Sathaye, Avinash 6 1976 Decompositions into products of idempotents. Zbl 1326.15019 Alahmadi, A.; Jain, Surender Kumar; Leroy, A.; Sathaye, A. 5 2015 R-automorphisms of finite order in R((X)). Zbl 0472.13009 Eakin, Paul; Sathaye, Avinash 4 1980 Some questions about the ring of formal power-series. Zbl 0517.13009 Eakin, Paul; Sathaye, Avinash 2 1982 The second coefficient of a function with all derivatives univalent. Zbl 0481.30017 Sathaye, A.; Shah, S. M. 1 1982 Embeddings of hyperbolas. Zbl 1248.14038 Sathaye, Avinash 1 2011 An application of generalized Newton Puiseux expansions to a conjecture of D. Daigle and G. Freudenburg. Zbl 1154.14324 Sathaye, Avinash 1 2003 On quasihomogeneous curves. Zbl 1127.14025 Assi, Abdallah; Sathaye, Avinash 1 2007 Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001 Abhyankar, Yvonne; Bajai, Chanderjit; Cutkosky, Steven Dale; Harbater, Dale; Heinzer, William; Shannon, David; Mulay, Shashikant; Mumford, David; Thakur, Dinesh 1 2014 Forty years of the epimorphism theorem. Zbl 1285.14068 Russell, Peter; Sathaye, Avinash 1 2013 Decompositions into products of idempotents. Zbl 1326.15019 Alahmadi, A.; Jain, Surender Kumar; Leroy, A.; Sathaye, A. 5 2015 Shreeram Abhyankar (July 22, 1930 – November 2, 2012). Zbl 1338.13001 Abhyankar, Yvonne; Bajai, Chanderjit; Cutkosky, Steven Dale; Harbater, Dale; Heinzer, William; Shannon, David; Mulay, Shashikant; Mumford, David; Thakur, Dinesh 1 2014 Forty years of the epimorphism theorem. Zbl 1285.14068 Russell, Peter; Sathaye, Avinash 1 2013 Embeddings of hyperbolas. Zbl 1248.14038 Sathaye, Avinash 1 2011 On quasihomogeneous curves. Zbl 1127.14025 Assi, Abdallah; Sathaye, Avinash 1 2007 Translates of polynomials. Zbl 1053.14011 Abhyankar, Shreeram S.; Heinzer, William J.; Sathaye, Avinash 7 2003 An application of generalized Newton Puiseux expansions to a conjecture of D. Daigle and G. Freudenburg. Zbl 1154.14324 Sathaye, Avinash 1 2003 Uniqueness of plane embeddings of special curves. Zbl 0880.14012 Abhyankar, Shreeram S.; Sathaye, Avinash 6 1996 Alternating group coverings of the affine line for characteristic two. Zbl 0833.14017 Abhyankar, Shreeram S.; Ou, Jun; Sathaye, Avinash 12 1994 Some remarks on the Jacobian question. (Notes by Marius van der Put and William Heinzer, updated by Avinash Sathaye). Zbl 0812.13013 Abhyankar, Shreeram S. 9 1994 Plane polynomial curves. Zbl 0809.14022 Sathaye, Avinash; Stenerson, Jon 7 1994 On automorphisms and derivations of Cayley-Dickson algebras. Zbl 0699.17022 Eakin, Paul; Sathaye, Avinash 16 1990 Analytic extensions of a commutative ring. Zbl 0672.13009 Eakin, Paul; Sathaye, Avinash; Pervine, Robert 6 1987 Polynomial ring in two variables over a D.V.R.: A criterion. Zbl 0538.13006 Sathaye, A. 41 1983 Generalized Newton-Puiseux expansion and Abhyankar-Moh semigroup theorem. Zbl 0549.14001 Sathaye, A. 6 1983 Some questions about the ring of formal power-series. Zbl 0517.13009 Eakin, Paul; Sathaye, Avinash 2 1982 The second coefficient of a function with all derivatives univalent. Zbl 0481.30017 Sathaye, A.; Shah, S. M. 1 1982 Jacobian ideals and a theorem of Briancon-Skoda. Zbl 0438.13019 Lipman, Joseph; Sathaye, Avinash 56 1981 R-automorphisms of finite order in R((X)). Zbl 0472.13009 Eakin, Paul; Sathaye, Avinash 4 1980 On finding and cancelling variables in k[X,Y,Z]. Zbl 0411.13011 Russell, Peter; Sathaye, Avinash 41 1979 On the Forster-Eisenbud-Evans conjectures. Zbl 0382.13004 Sathaye, Avinash 13 1978 On planar curves. Zbl 0386.14017 Sathaye, Avinash 12 1977 Prestable ideals. Zbl 0348.13012 Eakin, Paul; Sathaye, Avinash 54 1976 On linear planes. Zbl 0345.14013 Sathaye, Avinash 24 1976 \(R\)-endomorphisms of \(R[[X]]\) are essentially continuous. Zbl 0362.13010 Eakin, Paul; Sathaye, Avinash 16 1976 Convergence sets of divergent power series. Zbl 0334.13010 Sathaye, Avinash 6 1976 Geometric theory of algebraic space curves. Zbl 0357.14008 Abhyankar, S. S.; Sathaye, A. M. 10 1974 Algebraic space curves. Edited by P. Russell and A. Sathaye. Zbl 0245.14009 Abhyankar, Shreeram S. 7 1971 all cited Publications top 5 cited Publications all top 5 Cited by 322 Authors 15 Vasconcelos, Wolmer V. 12 Bhatwadekar, Srikant M. 11 Abhyankar, Shreeram Shankar 10 Dutta, Amartya Kumar 9 Huneke, Craig L. 8 Gupta, Neena 7 Russell, Peter K. 7 Ulrich, Bernd 6 Das, Prosenjit 6 Hochster, Melvin 5 Chèze, Guillaume 5 Daigle, Daniel 5 Goto, Shiro 5 Gurjar, Rajendra Vasant 5 Heinzer, William J. 5 Kaliman, Shulim I. 5 Kuroda, Shigeru 5 Masuda, Kayo 5 Sathaye, Avinash 4 Aberbach, Ian M. 4 Dubouloz, Adrien 4 El Kahoui, M’hammed 4 Hong, Jooyoun 4 Lucas, Thomas George 4 Miyanishi, Masayoshi 4 Ngô Viêt Trung 3 Assi, Abdallah 3 AY Saylam, Başak 3 Babu, Janaki Raman 3 Eakin, Paul M. jun. 3 Elias, Joan 3 Freudenburg, Gene 3 Ghezzi, Laura 3 Guterman, Alexander Èmilevich 3 Lewis, Drew 3 Ma, Daowei 3 Monserrat, Francisco 3 Pervine, Robert 3 Poloni, Pierre-Marie 3 Shpilrain, Vladimir 3 Swanson, Irena 3 Yu, Jie-Tai 3 Zaidenberg, Mikhail G. 3 Zhilina, S. A. 3 Zhilina, Svetlana 2 Abhyankar, Asawari M. 2 Asanuma, Teruo 2 Biss, Daniel K. 2 Brewer, James W. 2 Campillo, Antonio 2 Cherrabi, Azzouz 2 Cortadellas Benítez, Teresa 2 Craighero, Pier Carlo 2 Dugger, Daniel 2 Finston, David Robert 2 Furter, Jean-Philippe 2 Galindo Pastor, Carlos 2 García López, Ricardo 2 García Sánchez, Pedro A. 2 Gilmer, Robert W. jun. 2 Glaz, Sarah 2 Hickel, Michel 2 Hosry, Aline 2 Huckaba, Sam 2 Hyry, Eero 2 Isaksen, Daniel C. 2 Johnston, Bernard L. 2 Kabbaj, Salah-Eddine 2 Khalifa, Mohamed 2 Kim, Mee-Kyoung 2 Kojima, Hideo 2 Kumashiro, Shinya 2 Kutzschebauch, Frank 2 Lê Tuâń Hoa 2 Lokhande, Swapnil A. 2 Loper, Kenneth Alan 2 Lyubeznik, Gennady 2 Ma, Linquan 2 Makar-Limanov, Leonid G. 2 Matsuoka, Naoyuki 2 Mimouni, Abdeslam 2 Mulay, Shashikant B. 2 Neelon, Tejinder Singh 2 Olberding, Bruce M. 2 O’Malley, Matthew J. 2 Ouali, Mustapha 2 Polini, Claudia 2 Popp, Herbert 2 Roitman, Moshe 2 Seiler, Wolfgang K. 2 Sznajdman, Jacob 2 Vénéreau, Stéphane 2 Verma, Jugal Kishore 2 Wang, Hsin-Ju 2 Yie, Ikkwon 2 Zarzuela, Santiago 1 Abbas, Ali E. 1 Abelard, Simon 1 Alberca Bjerregaard, Pablo 1 Andersson, Mats ...and 222 more Authors all top 5 Cited in 84 Serials 62 Journal of Algebra 30 Communications in Algebra 26 Journal of Pure and Applied Algebra 20 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 7 Transformation Groups 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Advances in Mathematics 5 Archiv der Mathematik 5 Compositio Mathematica 5 Inventiones Mathematicae 5 Manuscripta Mathematica 5 Mathematische Annalen 4 Israel Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 4 Rocky Mountain Journal of Mathematics 4 Annales de l’Institut Fourier 4 Journal of Symbolic Computation 4 Bulletin of the American Mathematical Society. New Series 3 Michigan Mathematical Journal 3 Journal of Complexity 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Mathematical Sciences (New York) 3 Journal of Algebra and its Applications 3 Journal of Commutative Algebra 2 Indian Journal of Pure & Applied Mathematics 2 Acta Mathematica Vietnamica 2 Journal of Differential Equations 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Soviet Mathematics 2 Mathematische Zeitschrift 2 Nagoya Mathematical Journal 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tôhoku Mathematical Journal. Second Series 2 Forum Mathematicum 2 International Journal of Algebra and Computation 2 Linear Algebra and its Applications 2 Kyoto Journal of Mathematics 2 Arabian Journal of Mathematics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Hiroshima Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Semigroup Forum 1 Computer Aided Geometric Design 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Designs, Codes and Cryptography 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Potential Analysis 1 Turkish Journal of Mathematics 1 Finite Fields and their Applications 1 Bulletin des Sciences Mathématiques 1 Algebras and Representation Theory 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Nihonkai Mathematical Journal 1 Natural Computing 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Algebra & Number Theory 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annales Mathématiques du Québec 1 Complex Analysis and its Synergies 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 32 Fields 205 Commutative algebra (13-XX) 146 Algebraic geometry (14-XX) 23 Several complex variables and analytic spaces (32-XX) 17 Field theory and polynomials (12-XX) 16 Nonassociative rings and algebras (17-XX) 12 Combinatorics (05-XX) 11 Group theory and generalizations (20-XX) 9 Associative rings and algebras (16-XX) 7 Computer science (68-XX) 6 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 3 \(K\)-theory (19-XX) 3 Numerical analysis (65-XX) 2 Mathematical logic and foundations (03-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 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year