Edit Profile (opens in new tab) Arnold, Jimmy T. Co-Author Distance Author ID: arnold.jimmy-t Published as: Arnold, Jimmy T.; Arnold, J. T. Documents Indexed: 32 Publications since 1967, including 3 Books Co-Authors: 11 Co-Authors with 22 Joint Publications 256 Co-Co-Authors all top 5 Co-Authors 10 single-authored 8 Gilmer, Robert W. jun. 4 Brewer, James W. 3 Johnson, Lee W. 3 Riess, Ronald Dean 2 Boisen, Monte B. jun. 2 Matsuda, Ryûki 1 Anderson, David Fenimore 1 Boyd, David William 1 Dobbs, David Earl 1 Heinzer, William J. 1 Sheldon, Philip B. all top 5 Serials 6 Proceedings of the American Mathematical Society 3 Houston Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Journal of Algebra 2 Pacific Journal of Mathematics 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Mathematics of Kyoto University 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Bulletin of the American Mathematical Society 1 Journal of Science of the Hiroshima University. Series A-I all top 5 Fields 26 Commutative algebra (13-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 1 Associative rings and algebras (16-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 346 times in 237 Documents Cited by ▼ Year ▼ Krull dimension in power series rings. Zbl 0262.13007 Arnold, Jimmy T. 68 1973 On flat overrings, ideal transforms and generalized transforms of a commutative ring. Zbl 0218.13019 Arnold, J. T.; Brewer, J. W. 40 1971 On the ideal theory of the Kronecker function ring and the domain D(X). Zbl 0181.05102 Arnold, J. T. 35 1969 Power series rings over Prüfer domains. Zbl 0223.13016 Arnold, Jimmy T. 35 1973 Power series rings with finite Krull dimension. Zbl 0475.13014 Arnold, Jimmy T. 25 1982 The dimension sequence of a commutative ring. Zbl 0302.13013 Arnold, Jimmy T.; Gilmer, Robert 19 1974 When \((D[[X]])p_{[[X]]}\) is a valuation ring. Zbl 0252.13008 Arnold, J. T.; Brewer, J. W. 13 1973 Power series rings over discrete valuation rings. Zbl 0438.13016 Arnold, Jimmy T. 12 1981 Integral domains that satisfy Gauss’s lemma. Zbl 0314.13008 Arnold, Jimmy T.; Sheldon, Philip B. 11 1975 On the contents of polynomials. Zbl 0193.35101 Arnold, J. T.; Gilmer, R. 11 1970 Idempotent ideals and unions of nets of Prüfer domains. Zbl 0268.13001 Arnold, Jimmy T.; Gilmer, Robert 10 1967 An almost Krull domain with divisorial height one primes. Zbl 0541.13008 Arnold, J. T.; Matsuda, Ryuki 9 1986 Algebraic extensions of power series rings. Zbl 0475.13006 Arnold, Jimmy T. 8 1981 On the dimension theory of overrings of an integral domain. Zbl 0182.37001 Arnold, J. T. 7 1969 Kronecker function rings and flat \(D[X]\)-modules. Zbl 0212.06303 Arnold, J. T.; Brewer, J. W. 7 1971 The catenarian property of power series rings over a Prüfer domain. Zbl 0577.13010 Arnold, J. T. 6 1985 Some countability conditions in a commutative ring. Zbl 0392.13009 Arnold, Jimmy T.; Gilmer, Robert; Heinzer, William 5 1977 Transcendence degree in power series rings. Zbl 0407.13015 Arnold, J. T.; Boyd, D. W. 4 1979 Commutative rings which are locally Noetherian. Zbl 0212.06101 Arnold, J. T.; Brewer, J. W. 4 1971 Dimension theory of commutative rings without identity. Zbl 0296.13011 Arnold, Jimmy T.; Gilmer, Robert 3 1974 The dimension theory of commutative semigroup rings. Zbl 0334.13005 Arnold, Jimmy T.; Gilmer, Robert 3 1976 Dimension sequences for commutative rings. Zbl 0256.13009 Arnold, Jimmy T.; Gilmer, Robert 3 1973 Introduction to linear algebra. 2nd ed. Zbl 0686.15001 Johnson, Lee W.; Riess, R. Dean; Arnold, Jimmy T. 3 1989 Prime ideals in power series rings. Zbl 0251.13014 Arnold, Jimmy T. 2 1973 The n-gerator property for semigroup rings. Zbl 0615.13006 Arnold, J. T.; Matsuda, Ryuki 2 1986 Simple going down and going down. Zbl 0494.13002 Arnold, J. T.; Boisen, M. B. jun. 1 1981 Introduction to linear algebra. 2nd ed. Zbl 0686.15001 Johnson, Lee W.; Riess, R. Dean; Arnold, Jimmy T. 3 1989 An almost Krull domain with divisorial height one primes. Zbl 0541.13008 Arnold, J. T.; Matsuda, Ryuki 9 1986 The n-gerator property for semigroup rings. Zbl 0615.13006 Arnold, J. T.; Matsuda, Ryuki 2 1986 The catenarian property of power series rings over a Prüfer domain. Zbl 0577.13010 Arnold, J. T. 6 1985 Power series rings with finite Krull dimension. Zbl 0475.13014 Arnold, Jimmy T. 25 1982 Power series rings over discrete valuation rings. Zbl 0438.13016 Arnold, Jimmy T. 12 1981 Algebraic extensions of power series rings. Zbl 0475.13006 Arnold, Jimmy T. 8 1981 Simple going down and going down. Zbl 0494.13002 Arnold, J. T.; Boisen, M. B. jun. 1 1981 Transcendence degree in power series rings. Zbl 0407.13015 Arnold, J. T.; Boyd, D. W. 4 1979 Some countability conditions in a commutative ring. Zbl 0392.13009 Arnold, Jimmy T.; Gilmer, Robert; Heinzer, William 5 1977 The dimension theory of commutative semigroup rings. Zbl 0334.13005 Arnold, Jimmy T.; Gilmer, Robert 3 1976 Integral domains that satisfy Gauss’s lemma. Zbl 0314.13008 Arnold, Jimmy T.; Sheldon, Philip B. 11 1975 The dimension sequence of a commutative ring. Zbl 0302.13013 Arnold, Jimmy T.; Gilmer, Robert 19 1974 Dimension theory of commutative rings without identity. Zbl 0296.13011 Arnold, Jimmy T.; Gilmer, Robert 3 1974 Krull dimension in power series rings. Zbl 0262.13007 Arnold, Jimmy T. 68 1973 Power series rings over Prüfer domains. Zbl 0223.13016 Arnold, Jimmy T. 35 1973 When \((D[[X]])p_{[[X]]}\) is a valuation ring. Zbl 0252.13008 Arnold, J. T.; Brewer, J. W. 13 1973 Dimension sequences for commutative rings. Zbl 0256.13009 Arnold, Jimmy T.; Gilmer, Robert 3 1973 Prime ideals in power series rings. Zbl 0251.13014 Arnold, Jimmy T. 2 1973 On flat overrings, ideal transforms and generalized transforms of a commutative ring. Zbl 0218.13019 Arnold, J. T.; Brewer, J. W. 40 1971 Kronecker function rings and flat \(D[X]\)-modules. Zbl 0212.06303 Arnold, J. T.; Brewer, J. W. 7 1971 Commutative rings which are locally Noetherian. Zbl 0212.06101 Arnold, J. T.; Brewer, J. W. 4 1971 On the contents of polynomials. Zbl 0193.35101 Arnold, J. T.; Gilmer, R. 11 1970 On the ideal theory of the Kronecker function ring and the domain D(X). Zbl 0181.05102 Arnold, J. T. 35 1969 On the dimension theory of overrings of an integral domain. Zbl 0182.37001 Arnold, J. T. 7 1969 Idempotent ideals and unions of nets of Prüfer domains. Zbl 0268.13001 Arnold, Jimmy T.; Gilmer, Robert 10 1967 all cited Publications top 5 cited Publications all top 5 Cited by 157 Authors 21 Park, Mi Hee 20 Kang, Byung Gyun 16 Gilmer, Robert W. jun. 15 Chang, Gyu Whan 15 Toan, Phan Thanh 12 Zafrullah, Muhammad 10 Anderson, David Fenimore 10 Benhissi, Ali 10 Tamoussit, Ali 9 Fontana, Marco 8 Dobbs, David Earl 8 Heinzer, William J. 8 Khalifa, Mohamed 7 Anderson, Daniel D. 7 Giau, Le Thi Ngoc 6 Arnold, Jimmy T. 6 Coykendall, James 5 Loper, Kenneth Alan 5 Sahandi, Parviz 5 Tuganbaev, Askar Akanovich 4 Ayache, Ahmed 4 Bouchiba, Samir 4 Cahen, Paul-Jean 4 El Baghdadi, Said 4 Houston, Evan G. jun. 4 Kabbaj, Salah-Eddine 4 Lim, Jung Wook 4 Lucas, Thomas George 4 Rush, David E. 3 Barucci, Valentina 3 Dabbabi, Abdelamir 3 Girolami, Florida 3 Hedstrom, John R. 3 Hizem, Sana 3 Khalis, Mohammed 3 Kim, Hwankoo 3 Krylov, Pëtr Andreevich 3 Mimouni, Abdeslam 3 Mott, Joe Leonard 2 Bouba, El Mehdi 2 Bouvier, Alain 2 Condo, John T. 2 Echi, Othman 2 Gabelli, Stefania 2 Guerrieri, Lorenzo 2 Hamed, Ahmed 2 Huckaba, James A. 2 Huneke, Craig L. 2 Izelgue, Lahoucine 2 Kourki, Farid 2 Lequain, Yves 2 Markov, Viktor Timofeevich 2 Mikhalëv, Aleksandr Vasil’evich 2 Moulahi, Samir 2 Okon, James S. 2 Ouzzaouit, Omar 2 Papick, Ira J. 2 Picozza, Giampaolo 2 Popescu, Nicolae 2 Rhodes, Christopher P. L. 2 Skornyakov, Lev Anatolevich 2 Tamekkante, Mohammed 2 Tartarone, Francesca 2 Tribak, Rachid 2 Vicknair, J. Paul 2 Vo, Thieu N. 1 Al-Kaseasbeh, Saba 1 Alhazmy, Khaled 1 Almahdi, Fuad Ali Ahmed 1 Angermüller, Gerhard 1 Baek, Hyungtae 1 Bakkari, Chahrazade 1 Balakrishnan, Narayanaswamy 1 Batell, Mark 1 Beachy, John A. 1 Beidar, Konstantin Igorevich 1 Boyd, David William 1 Butts, Hubert S. 1 Celikel, Ece Yetkin 1 Chatham, R. Douglas 1 Chems-Eddin, Mohamed Mahmoud 1 Cheng, Charles Chingan 1 Choi, Hyun Seung 1 Clarke, Sharon M. 1 Corso, Alberto 1 Costa, Douglas L. 1 de Souza Doering, Ada Maria 1 Del Corso, Ilaria 1 Dumitrescu, Tiberiu 1 Dutta, Tridib Kumar 1 Eakin, Paul M. jun. 1 Elaoud, Salma 1 Fuchs, László 1 Glaz, Sarah 1 Gmiza, Wafa 1 Gotti, Felix 1 Grap, Kaiser A. 1 Grosshans, Frank D. 1 Haouaoui, Amor 1 Haouat, Youssef ...and 57 more Authors all top 5 Cited in 54 Serials 45 Communications in Algebra 35 Journal of Algebra 34 Journal of Pure and Applied Algebra 13 Journal of Algebra and its Applications 8 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 7 Beiträge zur Algebra und Geometrie 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Archiv der Mathematik 4 Manuscripta Mathematica 4 Mathematische Nachrichten 4 Ricerche di Matematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Mathematical Sciences (New York) 3 Korean Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Glasgow Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Journal of Soviet Mathematics 2 Bulletin of the Korean Mathematical Society 2 Journal of Symbolic Computation 2 Journal of Applied Mathematics & Informatics 1 Journal of Computational Physics 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Czechoslovak Mathematical Journal 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Semigroup Forum 1 Siberian Mathematical Journal 1 Bulletin of the Iranian Mathematical Society 1 Forum Mathematicum 1 International Journal of Computer Mathematics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The New York Journal of Mathematics 1 Vietnam Journal of Mathematics 1 Communications of the Korean Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Journal of Commutative Algebra 1 Kyoto Journal of Mathematics 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 Open Mathematics 1 Bollettino dell’Unione Matematica Italiana 1 Actes des Rencontres du C.I.R.M. all top 5 Cited in 14 Fields 226 Commutative algebra (13-XX) 19 Associative rings and algebras (16-XX) 9 Group theory and generalizations (20-XX) 8 Algebraic geometry (14-XX) 7 Field theory and polynomials (12-XX) 3 Number theory (11-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year