Edit Profile (opens in new tab) Smith, Patrick Fleming Compute Distance To: Compute Author ID: smith.patrick-f Published as: Smith, Patrick F.; Smith, P. F.; Smith, Patrick more...less External Links: MGP Documents Indexed: 174 Publications since 1971, including 1 Book 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 142 Reviews Biographic References: 2 Publications Co-Authors: 70 Co-Authors with 119 Joint Publications 1,067 Co-Co-Authors all top 5 Co-Authors 54 single-authored 14 McCasland, Roy L. 12 Harmanci, Abdullah 10 Albu, Toma 8 Nguyen Viet Dung 7 Huynh, Dinh Van 7 Moore, Marion E. 6 Doǧruöz, Semra 6 Keskin Tutuncu, Derya 6 Tercan, Adnan 5 Tiraş, Yücel 4 Santa-Clara, Catarina 3 Antunes Simões, Maria Elisa 3 Özcan, Ayşe Çiğdem 3 Pusat-Yılmaz, Dilek 3 Sánchez Campos, Esperanza 3 Tribak, Rachid 3 Vedadi, Mohammad Reza 3 Woodward, Alex R. 2 Abd El-Bast, Zeinab 2 Al-Khazzi, Ibrahim 2 Al-Shaniafi, Yousef 2 Alkan, Mustafa 2 Beidar, Konstantin Igorevich 2 Bilhan, Gökhan 2 Çeken, Seçil 2 de Viola-Prioli, Ana M. 2 Jespers, Eric 2 Kaleboğaz, Berke 2 Keskin, Derya 2 Orhan Ertaş, Nil 2 Puczyłowski, Edmund R. 2 Viola-Prioli, Jorge E. 2 Wisbauer, Robert 1 Alizade, Rafail 1 Aydoğdu, Pınar 1 Bland, Paul E. 1 Brown, Kenneth Alexander 1 Brzeziński, Tomasz 1 Bundy, Alan 1 Carvalho, Paula A. A. B. 1 Celep Yücel, Canan 1 Çelik, Cesim 1 Chatters, A. W. 1 Choi, Chang Woo 1 Clark, John 1 Dinh, Hai Quang 1 Fuchs, László 1 Galvão, Maria Luísa 1 George, Seleena M. 1 Gómez Pardo, José Luis 1 Lenagan, Thomas H. 1 Levy, Lawrence S. 1 Linnell, Peter Arnold 1 Lomp, Christian 1 Low, Gordan MacLaren 1 Maani-Shirazi, Mansooreh 1 Man, Shing Hing 1 Marubayashi, Hidetoshi 1 Meijer, Alko R. 1 Mermut, Engin 1 Osofsky, Barbara L. 1 Parmenter, Michael M. 1 Passman, Donald Steven 1 Puninski, Gena 1 Saraç, Bülent 1 Shestakov, Ivan Pavlovich 1 Snider, Robert L. 1 Toksoy, Sultan Eylem 1 Ukegawa, Takasaburo 1 Umaya, Noriaki 1 Xue, Weimin all top 5 Serials 36 Communications in Algebra 11 Journal of Algebra 6 Houston Journal of Mathematics 6 Glasgow Mathematical Journal 6 International Electronic Journal of Algebra (IEJA) 5 Rocky Mountain Journal of Mathematics 5 Journal of Pure and Applied Algebra 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Turkish Journal of Mathematics 4 Israel Journal of Mathematics 4 Archiv der Mathematik 4 Proceedings of the London Mathematical Society. Third Series 3 Canadian Journal of Mathematics 3 Colloquium Mathematicum 3 Proceedings of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Journal of Algebra and its Applications 3 Journal of Commutative Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Journal of the London Mathematical Society. Second Series 2 Mathematica Scandinavica 2 Mathematische Zeitschrift 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Algebra Colloquium 2 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 2 Vietnam Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Mathematics Seminar Notes 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Tạp Chí Toán Học 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 New Zealand Journal of Mathematics 1 The Arabian Journal for Science and Engineering. Section C: Theme Issues 1 The Quarterly Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 Trends in Mathematics 1 Frontiers in Mathematics all top 5 Fields 143 Associative rings and algebras (16-XX) 51 Commutative algebra (13-XX) 15 Group theory and generalizations (20-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 5 General topology (54-XX) 4 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 149 Publications have been cited 1,696 times in 946 Documents Cited by ▼ Year ▼ Extending modules. Zbl 0841.16001Nguyen Viet Dung; Dinh Van Huynh; Smith, Patrick F.; Wisbauer, Robert 177 1994 Multiplication modules. Zbl 0642.13002Abd El-Bast, Zeinab; Smith, Patrick F. 166 1988 Prime submodules of Noetherian modules. Zbl 0814.16017McCasland, R. L.; Smith, P. F. 80 1993 On the spectrum of a module over a commutative ring. Zbl 0876.13002McCasland, R. L.; Moore, M. E.; Smith, P. F. 75 1997 Some remarks on multiplication modules. Zbl 0615.13003Smith, Patrick F. 74 1988 Cyclic modules whose quotients have all complement submodules direct summands. Zbl 0737.16001Osofsky, Barbara L.; Smith, Patrick F. 58 1991 Generalizations of CS-modules. Zbl 0779.16002Smith, P. F.; Tercan, A. 47 1993 On the prime radical of a module over a commutative ring. Zbl 0776.13003Jenkins, James; Smith, Patrick F. 46 1992 Duo modules. Zbl 1116.16003Özcan, A. Ç.; Harmanci, A.; Smith, P. F. 37 2006 On semi-artinian \(V\)-modules. Zbl 0786.16002Nguyen V. Dung; Smith, Patrick F. 36 1992 Localization and the AR property. Zbl 0208.29703Smith, P. F. 32 1971 Second modules over noncommutative rings. Zbl 1270.16001Çeken, S.; Alkan, M.; Smith, P. F. 29 2013 On \(\oplus\)-supplemented modules. Zbl 0933.16008Harmanci, A.; Keskin, D.; Smith, P. F. 27 1999 The dual notion of the prime radical of a module. Zbl 1301.16001Çeken, Seçil; Alkan, Mustafa; Smith, Patrick F. 27 2013 Modules whose maximal submodules have supplements. Zbl 0989.16001Alizade, R.; Bilhan, G.; Smith, P. F. 25 2001 Modules with many homomorphisms. Zbl 1087.16001Smith, Patrick F. 21 2005 A principal ideal theorem analogue for modules over commutative rings. Zbl 0795.13001George, Seleena M.; McCasland, Roy L.; Smith, Patrick F. 19 1994 Injective modules and prime ideals. Zbl 0458.16015Smith, P. F. 19 1981 Quotient rings of group rings. Zbl 0214.05301Smith, P. F. 18 1971 Modules with chain conditions on superfluous submodules. Zbl 0734.16009Al-Khazzi, Ibrahim; Smith, Patrick F. 18 1991 Dual Krull dimension and duality. Zbl 0953.16021Albu, Toma; Smith, Patrick F. 17 1999 A characterization of prime submodules. Zbl 0924.13003Tıraş, Yücel; Harmancı, Abdullah; Smith, P. F. 17 1999 Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem. I. Zbl 0854.06008Albu, Toma; Smith, Patrick F. 17 1996 Rings characterized by their cyclic modules. Zbl 0412.16012Smith, P. F. 17 1979 Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem. II. Zbl 0878.06006Albu, Toma; Smith, Patrick F. 16 1997 Modules for which every submodule has a unique closure. Zbl 0853.16006Smith, Patrick F. 16 1993 An introduction to Zariski spaces over Zariski topologies. Zbl 0939.13007McCasland, R. L.; Moore, M. E.; Smith, P. F. 16 1998 Rings for which certain modules are \(CS\). Zbl 0919.16002Nguyen Viet Dung; Smith, Patrick F. 15 1995 Rings whose modules are \(\oplus\)-supplemented. Zbl 0942.16004Keskin, Derya; Smith, Patrick F.; Xue, Weimin 15 1999 On the dimension of group rings. Zbl 0236.16011Smith, P. F. 15 1972 Comultiplication modules over commutative rings. Zbl 1238.13018Al-Shaniafi, Yousef; Smith, Patrick F. 15 2011 \(\Sigma\)-CS-modules. Zbl 0804.16001Nguyen Viet Dung; Smith, Patrick F. 14 1994 Finite direct sums of CS-modules. Zbl 0802.16006Harmanci, Abdullah; Smith, Patrick F. 14 1993 Module theory, extending modules and generalizations. With the cooperation of Patrick F. Smith. Zbl 1368.16002Tercan, Adnan; Yücel, Canan C. 14 2016 On chains of prime submodules. Zbl 1067.13006Man, Shing Hing; Smith, Patrick F. 13 2002 Direct summands of modules which satisfy \((C_{11})\). Zbl 1075.16002Smith, Patrick F.; Tercan, Adnan 13 2004 Modules which satisfy the radical formula. Zbl 1006.13002Pusat-Yilmaz, D.; Smith, P. F. 12 2002 Multiplication modules and ideals. Zbl 0737.13001Low, Gordan M.; Smith, Patrick F. 11 1990 Units in integral group rings. Zbl 0459.16008Passman, D. S.; Smith, P. F. 11 1981 Primary modules over commutative rings. Zbl 0979.13003Smith, Patrick F. 10 2001 A note on hypercentral group rings. Zbl 0328.16010Roseblade, J. E.; Smith, P. F. 10 1976 Decomposing modules into projectives and injectives. Zbl 0399.16012Smith, P. F. 10 1978 Continuous and quasi-continuous modules. Zbl 0762.16004Smith, Patrick F.; Tercan, Adnan 9 1992 Radicals of submodules of free modules. Zbl 0944.13001Pusat-Yilmaz, Dilek; Smith, Patrick F. 9 1999 Dual relative Krull dimension of modules over commutative rings. Zbl 0841.16033Albu, Toma; Smith, Patrick F. 9 1995 CS-modules and weak CS-modules. Zbl 0714.16007Smith, Patrick F. 9 1990 Modules complemented with respect to a torsion theory. Zbl 0879.16017Smith, Patrick F.; de Viola-Prioli, Ana M.; Viola-Prioli, Jorge E. 8 1997 A generalization of CS-modules. Zbl 0842.16003Çelik, Cesim; Harmanci, Abdullah; Smith, Patrick F. 8 1995 Essentially compressible modules and rings. Zbl 1114.16007Smith, P. F.; Vedadi, M. R. 8 2006 On dual Baer modules. Zbl 1296.16010Keskin Tütüncü, Derya; Smith, Patrick F.; Toksoy, Sultan Eylem 8 2014 Submodules of direct sums of compressible modules. Zbl 1155.16004Smith, P. F.; Vedadi, M. R. 8 2008 On semi-artinian modules and injectivity conditions. Zbl 0855.16003Clark, J.; Smith, P. F. 7 1996 The injective test lemma in fully bounded rings. Zbl 0464.16017Smith, P. F. 7 1981 On non-commutative regular local rings. Zbl 0326.16005Smith, P. F. 7 1976 Injectivity relative to closed submodules. Zbl 1175.16006Mermut, Engin; Santa-Clara, Catarina; Smith, Patrick F. 7 2009 A characterization of rings with Krull dimension. Zbl 0706.16013Dinh Van Huynh; Nguyen V. Dung; Smith, Patrick F. 7 1990 Some rings characterised by their modules. Zbl 0713.16004Dinh Van Huynh; Smith, Patrick F. 7 1990 A note on GV-modules with Krull dimension. Zbl 0713.16005Dinh Van Huynh; Smith, Patrick F.; Wisbauer, Robert 7 1990 Modules with chain conditions on non-essential submodules. Zbl 1074.16012Smith, P. F.; Vedadi, M. R. 6 2004 Some remarks on dense submodules of multiplication modules. Zbl 0963.13003Tıraṡ, Yücel; Harmancı, Abdullah; Smith, P. F. 6 2000 Multiplication modules and projective modules. Zbl 0824.13008Smith, P. F. 6 1994 Modules with coindependent maximal submodules. Zbl 1233.16001Smith, Patrick F. 6 2011 Modules which are extending relative to module classes. Zbl 0928.16006Doǧruöz, Semra; Smith, Patrick F. 6 1998 Short modules and almost Noetherian modules. Zbl 1134.16008Bilhan, G.; Smith, P. F. 5 2006 Multiplication modules and theorems of Mori and Mott. Zbl 0642.13003Abd El-Bast, Zeinab; Smith, Patrick F. 5 1988 On two-sided artinian quotient rings. Zbl 0243.16001Smith, P. F. 5 1972 A note on idempotent ideals in group rings. Zbl 0318.16003Smith, P. F. 5 1976 A note on projective modules. Zbl 0332.16010Smith, P. F. 5 1976 Finitely generated supplemented modules are amply supplemented. Zbl 1271.16007Smith, Patrick F. 5 2000 Zariski spaces of modules over arbitrary rings. Zbl 1168.16027McCasland, Roy L.; Smith, Patrick F. 5 2006 Some rings which are characterised by their finitely generated modules. Zbl 0383.16013Smith, P. F. 5 1978 A note on the Artin-Rees property of certain polycyclic group algebras. Zbl 0413.16009Roseblade, J. E.; Smith, P. F. 5 1979 Mappings between module lattices. Zbl 1302.13018Smith, Patrick F. 5 2014 Direct sums of semi-projective modules. Zbl 1260.16002Keskin Tütüncü, Derya; Kaleboğaz, Berke; Smith, Patrick F. 5 2012 A result on semi-Artinian rings. Zbl 1032.16004Dinh, Hai Quang; Smith, Patrick F. 4 2003 Corrigendum and addendum: Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem. II. Zbl 0984.06004Albu, Toma; Smith, Patrick F. 4 2001 Radical submodules and uniform dimension of modules. Zbl 1077.16022Smith, P. F. 4 2004 The Bass-Papp theorem and some related results. Zbl 0885.16007Harmanci, A.; Smith, P. F.; Tercan, A.; Tiras, Y. 4 1997 Localization in group rings. Zbl 0208.30302Smith, P. F. 4 1971 On non-commutative Noetherian multiplication rings. Zbl 0554.16010Smith, Patrick F.; Ukegawa, Takasaburo; Umaya, Noriaki 4 1983 Complete homomorphisms between module lattices. Zbl 1307.13016Smith, Patrick F. 4 2014 The AR property and chain conditions in group rings. Zbl 0399.16004Smith, P. F. 4 1979 A characterization of Noetherian modules. Zbl 0712.16016Smith, Patrick F.; Dinh Van Huynh; Nguyen V. Dung 4 1990 Relative injectivity and module classes. Zbl 0787.16005Harmanci, Abdullah; Smith, Patrick F. 3 1992 The \(Z^*\) functor for rings whose primitive images are Artinian. Zbl 1023.16020Özcan, A. Çiğdem; Smith, Patrick F. 3 2002 Krull dimension of modules over involution rings. Zbl 0805.16032Beidar, K. I.; Puczyłowski, E. R.; Smith, P. F. 3 1994 Generators for the semimodule of varieties of a free module. Zbl 0980.13007McCasland, R. L.; Moore, M. E.; Smith, P. F. 3 1999 Modules which are self-injective relative to closed submodules. Zbl 0968.16002Santa-Clara, Catarina; Smith, Patrick F. 3 2000 On \(\mu\)-complemented and singular modules. Zbl 0879.16018Smith, Patrick F.; de Viola-Prioli, Ana M.; Viola-Prioli, Jorge E. 3 1997 Modules with bounded spectra. Zbl 0905.13003McCasland, R. L.; Moore, M. E.; Smith, P. F. 3 1998 Anti-homomorphisms between module lattices. Zbl 1341.13006Smith, Patrick F. 3 2015 Direct products of simple modules over Dedekind domains. Zbl 1055.16003Santa-Clara, Catarina; Smith, Patrick F. 3 2004 The Artin-Rees property. Zbl 0483.16010Smith, P. F. 3 1982 Rings with enough invertible ideals. Zbl 0512.16013Smith, P. F. 3 1983 Corrigendum: On the dimension of group rings. Zbl 0266.16009Smith, P. F. 3 1973 Group rings of hypercyclic groups. Zbl 0313.20016Smith, Patrick F. 3 1975 Chain conditions in modules with Krull dimension. Zbl 0889.16010Pusat-Yılmaz, Dilek; Smith, Patrick F. 3 1996 Finitely embedded modules over group rings. Zbl 0383.16008Smith, P. F. 3 1978 On Dedekind modules. Zbl 1113.13011Saraç, Bülent; Smith, Patrick F.; Tiraş, Yücel 3 2007 Comultiplication modules over commutative rings. II. Zbl 1260.13017Al-Shaniafi, Yousef; Smith, Patrick F. 3 2012 A note on simple modules over quasi-local rings. Zbl 1427.13023Carvalho, Paula A. A. B.; Lomp, Christian; Smith, Patrick F. 2 2018 Module theory, extending modules and generalizations. With the cooperation of Patrick F. Smith. Zbl 1368.16002Tercan, Adnan; Yücel, Canan C. 14 2016 Anti-homomorphisms between module lattices. Zbl 1341.13006Smith, Patrick F. 3 2015 Fully invariant multiplication modules. Zbl 1389.13015Smith, Patrick F. 1 2015 On dual Baer modules. Zbl 1296.16010Keskin Tütüncü, Derya; Smith, Patrick F.; Toksoy, Sultan Eylem 8 2014 Mappings between module lattices. Zbl 1302.13018Smith, Patrick F. 5 2014 Complete homomorphisms between module lattices. Zbl 1307.13016Smith, Patrick F. 4 2014 Some rings for which the cosingular submodule of every module is a direct summand. Zbl 1303.16001Keskin Tütüncü, Derya; Orhan Ertaş, Nil; Smith, Patrick F.; Tribak, Rachid 2 2014 Second modules over noncommutative rings. Zbl 1270.16001Çeken, S.; Alkan, M.; Smith, P. F. 29 2013 The dual notion of the prime radical of a module. Zbl 1301.16001Çeken, Seçil; Alkan, Mustafa; Smith, Patrick F. 27 2013 Direct sums of semi-projective modules. Zbl 1260.16002Keskin Tütüncü, Derya; Kaleboğaz, Berke; Smith, Patrick F. 5 2012 Comultiplication modules over commutative rings. II. Zbl 1260.13017Al-Shaniafi, Yousef; Smith, Patrick F. 3 2012 Comultiplication modules over commutative rings. Zbl 1238.13018Al-Shaniafi, Yousef; Smith, Patrick F. 15 2011 Modules with coindependent maximal submodules. Zbl 1233.16001Smith, Patrick F. 6 2011 On fully idempotent modules. Zbl 1269.16002Keskin Tütüncü, Derya; Orhan Ertaş, Nil; Tribak, Rachid; Smith, Patrick F. 3 2011 Chain conditions on non-summands. Zbl 1242.16023Aydoğdu, Pinar; Özcan, A. Çiğdem.; Smith, Patrick F. 2 2011 Modules with unique closure relative to a torsion theory. Zbl 1198.16028Doğruöz, S.; Harmanci, A.; Smith, P. F. 3 2010 Injectivity relative to closed submodules. Zbl 1175.16006Mermut, Engin; Santa-Clara, Catarina; Smith, Patrick F. 7 2009 Modules satisfying the ascending chain condition on submodules with bounded uniform dimension. Zbl 1190.16031Sánchez Campos, Esperanza; Smith, Patrick F. 1 2009 Modules with unique closure relative to a torsion theory. II. Zbl 1203.16022Doğruöz, Semra; Harmancı, Abdullah; Smith, Patrick F. 1 2009 Submodules of direct sums of compressible modules. Zbl 1155.16004Smith, P. F.; Vedadi, M. R. 8 2008 Generalised associated primes and radicals of submodules. Zbl 1161.13303McCasland, R. L.; Smith, P. F. 1 2008 On Dedekind modules. Zbl 1113.13011Saraç, Bülent; Smith, Patrick F.; Tiraş, Yücel 3 2007 Uniqueness of coprimary decompositions. Zbl 1124.16005Maani-Shirazi, M.; Smith, P. F. 1 2007 Krull dimension of bimodules. Zbl 1117.16011Smith, P. F.; Woodward, A. R. 1 2007 Duo modules. Zbl 1116.16003Özcan, A. Ç.; Harmanci, A.; Smith, P. F. 37 2006 Essentially compressible modules and rings. Zbl 1114.16007Smith, P. F.; Vedadi, M. R. 8 2006 Short modules and almost Noetherian modules. Zbl 1134.16008Bilhan, G.; Smith, P. F. 5 2006 Zariski spaces of modules over arbitrary rings. Zbl 1168.16027McCasland, Roy L.; Smith, Patrick F. 5 2006 Ascertaining mathematical theorems. Zbl 1273.68324McCasland, Roy L.; Bundy, Alan; Smith, Patrick F. 2 2006 Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups. Zbl 1111.16026Linnell, Peter A.; Puninski, Gena; Smith, Patrick 2 2006 Subtractive bases of Zariski spaces. Zbl 1111.13010McCasland, R. L.; Moore, M. E.; Smith, P. F. 2 2006 On isolated submodules. Zbl 1105.16009McCasland, Roy L.; Smith, Patrick F. 2 2006 Artinian rings and the H-condition. Zbl 1121.16022Smith, P. F.; Woodward, A. R. 1 2006 On finitely annihilated modules and Artinian rings. Zbl 1119.16021Smith, Patrick F.; Woodward, Alex R. 1 2006 Modules with many homomorphisms. Zbl 1087.16001Smith, Patrick F. 21 2005 Uniqueness of primary decompositions. Zbl 1069.16006Smith, P. F. 1 2005 Direct summands of modules which satisfy \((C_{11})\). Zbl 1075.16002Smith, Patrick F.; Tercan, Adnan 13 2004 Modules with chain conditions on non-essential submodules. Zbl 1074.16012Smith, P. F.; Vedadi, M. R. 6 2004 Radical submodules and uniform dimension of modules. Zbl 1077.16022Smith, P. F. 4 2004 Direct products of simple modules over Dedekind domains. Zbl 1055.16003Santa-Clara, Catarina; Smith, Patrick F. 3 2004 A result on semi-Artinian rings. Zbl 1032.16004Dinh, Hai Quang; Smith, Patrick F. 4 2003 On chains of prime submodules. Zbl 1067.13006Man, Shing Hing; Smith, Patrick F. 13 2002 Modules which satisfy the radical formula. Zbl 1006.13002Pusat-Yilmaz, D.; Smith, P. F. 12 2002 The \(Z^*\) functor for rings whose primitive images are Artinian. Zbl 1023.16020Özcan, A. Çiğdem; Smith, Patrick F. 3 2002 Modules whose maximal submodules have supplements. Zbl 0989.16001Alizade, R.; Bilhan, G.; Smith, P. F. 25 2001 Primary modules over commutative rings. Zbl 0979.13003Smith, Patrick F. 10 2001 Corrigendum and addendum: Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem. II. Zbl 0984.06004Albu, Toma; Smith, Patrick F. 4 2001 Some remarks on dense submodules of multiplication modules. Zbl 0963.13003Tıraṡ, Yücel; Harmancı, Abdullah; Smith, P. F. 6 2000 Finitely generated supplemented modules are amply supplemented. Zbl 1271.16007Smith, Patrick F. 5 2000 Modules which are self-injective relative to closed submodules. Zbl 0968.16002Santa-Clara, Catarina; Smith, Patrick F. 3 2000 Commutative domains whose finitely generated projective modules have an injectivity property. Zbl 0973.16003Smith, Patrick F. 2 2000 Modules which are weak extending relative to module classes. Zbl 1062.16001Doǧruöz, S.; Smith, P. F. 2 2000 Global Krull dimension. Zbl 0991.16014Albu, Toma; Smith, Patrick F. 1 2000 Zariski-finite modules. Zbl 0980.13008McCasland, R. L.; Moore, M. E.; Smith, P. F. 1 2000 On \(\oplus\)-supplemented modules. Zbl 0933.16008Harmanci, A.; Keskin, D.; Smith, P. F. 27 1999 Dual Krull dimension and duality. Zbl 0953.16021Albu, Toma; Smith, Patrick F. 17 1999 A characterization of prime submodules. Zbl 0924.13003Tıraş, Yücel; Harmancı, Abdullah; Smith, P. F. 17 1999 Rings whose modules are \(\oplus\)-supplemented. Zbl 0942.16004Keskin, Derya; Smith, Patrick F.; Xue, Weimin 15 1999 Radicals of submodules of free modules. Zbl 0944.13001Pusat-Yilmaz, Dilek; Smith, Patrick F. 9 1999 Generators for the semimodule of varieties of a free module. Zbl 0980.13007McCasland, R. L.; Moore, M. E.; Smith, P. F. 3 1999 An introduction to Zariski spaces over Zariski topologies. Zbl 0939.13007McCasland, R. L.; Moore, M. E.; Smith, P. F. 16 1998 Modules which are extending relative to module classes. Zbl 0928.16006Doǧruöz, Semra; Smith, Patrick F. 6 1998 Modules with bounded spectra. Zbl 0905.13003McCasland, R. L.; Moore, M. E.; Smith, P. F. 3 1998 Chain conditions in modular lattices. Zbl 0913.06004Galvão, M. Luísa; Smith, Patrick F. 2 1998 Rings whose free modules satisfy the ascending chain condition on submodules with a bounded number of generators. Zbl 0914.16011Antunes Simões, Maria Elisa; Smith, Patrick F. 1 1998 On the spectrum of a module over a commutative ring. Zbl 0876.13002McCasland, R. L.; Moore, M. E.; Smith, P. F. 75 1997 Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem. II. Zbl 0878.06006Albu, Toma; Smith, Patrick F. 16 1997 Modules complemented with respect to a torsion theory. Zbl 0879.16017Smith, Patrick F.; de Viola-Prioli, Ana M.; Viola-Prioli, Jorge E. 8 1997 The Bass-Papp theorem and some related results. Zbl 0885.16007Harmanci, A.; Smith, P. F.; Tercan, A.; Tiras, Y. 4 1997 On \(\mu\)-complemented and singular modules. Zbl 0879.16018Smith, Patrick F.; de Viola-Prioli, Ana M.; Viola-Prioli, Jorge E. 3 1997 Krull dimension of modules over involution rings. II. Zbl 0864.16030Beidar, K. I.; Puczyłowski, E. R.; Smith, P. F. 1 1997 Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem. I. Zbl 0854.06008Albu, Toma; Smith, Patrick F. 17 1996 On semi-artinian modules and injectivity conditions. Zbl 0855.16003Clark, J.; Smith, P. F. 7 1996 Chain conditions in modules with Krull dimension. Zbl 0889.16010Pusat-Yılmaz, Dilek; Smith, Patrick F. 3 1996 Modules with finitely generated spectra. Zbl 0866.14001McCasland, R. L.; Moore, M. E.; Smith, P. F. 2 1996 Direct sums of CS-modules. Zbl 0864.16002Harmanci, A.; Smith, P. F.; Tercan, A.; Tiraş, Y. 2 1996 Ascending chains of submodules in modules having Krull dimension. Zbl 0928.16016Albu, Toma; Lenagan, T. H.; Smith, Patrick F. 2 1996 Extending modules which are direct sums of injective modules and semisimple modules. Zbl 0882.16004Santa-Clara, Catarina; Smith, Patrick F. 1 1996 On the ascending chain condition for submodules with a bounded number of generators. Zbl 0848.16015Antunes Simoes, Maria Elisa; Smith, Patrick F. 1 1996 Rings for which certain modules are \(CS\). Zbl 0919.16002Nguyen Viet Dung; Smith, Patrick F. 15 1995 Dual relative Krull dimension of modules over commutative rings. Zbl 0841.16033Albu, Toma; Smith, Patrick F. 9 1995 A generalization of CS-modules. Zbl 0842.16003Çelik, Cesim; Harmanci, Abdullah; Smith, Patrick F. 8 1995 Classes of modules with many direct summands. Zbl 0838.16003Al-Khazzi, I.; Smith, P. F. 2 1995 Direct products satisfying the ascending chain condition for submodules with a bounded number of generators. Zbl 0834.16018Antunes Simões, Maria Elisa; Smith, Patrick F. 1 1995 Revisiting a theorem of Higman. Zbl 0841.16035Jespers, E.; Parmenter, M. M.; Smith, P. F. 1 1995 Extending modules. Zbl 0841.16001Nguyen Viet Dung; Dinh Van Huynh; Smith, Patrick F.; Wisbauer, Robert 177 1994 A principal ideal theorem analogue for modules over commutative rings. Zbl 0795.13001George, Seleena M.; McCasland, Roy L.; Smith, Patrick F. 19 1994 \(\Sigma\)-CS-modules. Zbl 0804.16001Nguyen Viet Dung; Smith, Patrick F. 14 1994 Multiplication modules and projective modules. Zbl 0824.13008Smith, P. F. 6 1994 Krull dimension of modules over involution rings. Zbl 0805.16032Beidar, K. I.; Puczyłowski, E. R.; Smith, P. F. 3 1994 Concerning a theorem of I. S. Cohen. Zbl 0853.16027Smith, Patrick F. 2 1994 On endomorphisms of multiplication modules. Zbl 0820.13003Choi, Chang Woo; Smith, Patrick F. 1 1994 Prime submodules of Noetherian modules. Zbl 0814.16017McCasland, R. L.; Smith, P. F. 80 1993 Generalizations of CS-modules. Zbl 0779.16002Smith, P. F.; Tercan, A. 47 1993 Modules for which every submodule has a unique closure. Zbl 0853.16006Smith, Patrick F. 16 1993 Finite direct sums of CS-modules. Zbl 0802.16006Harmanci, Abdullah; Smith, Patrick F. 14 1993 On the prime radical of a module over a commutative ring. Zbl 0776.13003Jenkins, James; Smith, Patrick F. 46 1992 On semi-artinian \(V\)-modules. Zbl 0786.16002Nguyen V. Dung; Smith, Patrick F. 36 1992 Continuous and quasi-continuous modules. Zbl 0762.16004Smith, Patrick F.; Tercan, Adnan 9 1992 ...and 49 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 660 Authors 66 Smith, Patrick Fleming 30 Huynh, Dinh Van 25 Tercan, Adnan 23 Tribak, Rachid 22 Ansari-Toroghy, Habibollah 22 Tekir, Unsal 21 Tuganbaev, Askar Akanovich 20 Alkan, Mustafa 19 Birkenmeier, Gary Francis 18 Albu, Toma 18 Crivei, Septimiu 18 Keskin Tutuncu, Derya 17 Farshadifar, Faranak 16 Koşan, Muhammet Tamer 16 Quynh, Truong Cong 16 Vedadi, Mohammad Reza 15 Rizvi, Syed Tariq 14 Çeken, Seçil 14 Yousif, Mohamed F. 13 Abyzov, Adel Nailevich 13 Behboodi, Mahmood 13 Harmanci, Abdullah 13 Jain, Surender Kumar 12 Ali, Majid M. 12 Koç, Suat 12 McCasland, Roy L. 12 Zhou, Yiqiang 11 Azizi, Abdulrasool 11 Brown, Kenneth Alexander 11 Davoudian, Maryam 11 Türkmen, Burcu Nişanci 10 Büyükasik, Engin 10 Durğun, Yılmaz 10 López-Permouth, Sergio Roberto 10 Nguyen Viet Dung 10 Özcan, Ayşe Çiğdem 9 Ding, Nanqing 9 Ebrahimi Atani, Shahabaddin 9 Er, Noyan 9 Haghany, Ahmad 9 Ibrahim, Yasser F. 9 Kara, Yeliz 9 Park, Jae Keol 8 Abuhlail, Jawad Y. 8 Asgari, Sh. 8 Moore, Marion E. 8 Naoum, Adil G. 8 Nekooei, Reza 8 Tiraş, Yücel 8 Wang, Yongduo 7 Chaturvedi, Avanish Kumar 7 Marubayashi, Hidetoshi 7 Wisbauer, Robert 7 Yaşar, Ramazan 6 Alizade, Rafail 6 Celep Yücel, Canan 6 Guil Asensio, Pedro A. 6 Hamzekolaee, Ali Reza Moniri 6 Iosif, Mihai 6 Lelekaami, Dawood Hassanzadeh 6 Mao, Lixin 6 Nguyen Van Sanh 6 Nikseresht, Ashkan 6 Olteanu, Gabriela 6 Orhan Ertaş, Nil 6 Pancar, Ali 6 Puczyłowski, Edmund R. 6 Shirali, Nasrin 6 Tolooei, Yaser 6 Türkmen, Ergül 5 Al-Shaniafi, Yousef 5 Alahmadi, Adel N. 5 Beidar, Konstantin Igorevich 5 Dehghani, Najmeh 5 Doǧruöz, Semra 5 Khoramdel, Mehdi 5 Naghipour, Ali Reza 5 Nebiyev, Celil 5 Ones, Ortac 5 Parkash, Anand 5 Passman, Donald Steven 5 Ríos Montes, José 5 Ungor, Burcu 5 Wang, Fanggui 5 Žemlička, Jan 4 Akalan, Evrim 4 Anderson, Daniel D. 4 Baziar, Mohammad 4 Beachy, John A. 4 Beyranvand, Reza 4 Clark, John 4 de Viola-Prioli, Ana M. 4 Diallo, Abdoul Djibril 4 Diop, Papa Cheikhou 4 Dolati Pishhesari, Saboura 4 Ebrahimpour, Mahdieh 4 Ghalandarzadeh, Shaban 4 Gupta, Ashok Ji 4 Haily, Abdelfattah 4 Jategaonkar, Arun Vinayak ...and 560 more Authors all top 5 Cited in 126 Serials 258 Communications in Algebra 74 Journal of Algebra and its Applications 64 Journal of Algebra 27 Glasgow Mathematical Journal 24 Journal of Pure and Applied Algebra 20 Journal of Algebraic Systems 19 Algebra Colloquium 18 Ukrainian Mathematical Journal 16 Journal of Mathematical Sciences (New York) 14 Bulletin of the Australian Mathematical Society 14 Hacettepe Journal of Mathematics and Statistics 14 Asian-European Journal of Mathematics 13 Rocky Mountain Journal of Mathematics 11 Turkish Journal of Mathematics 9 Israel Journal of Mathematics 9 Periodica Mathematica Hungarica 9 Beiträge zur Algebra und Geometrie 9 Czechoslovak Mathematical Journal 9 Bulletin of the Korean Mathematical Society 9 Palestine Journal of Mathematics 8 Archiv der Mathematik 8 Proceedings of the American Mathematical Society 8 Quaestiones Mathematicae 8 Transactions of the American Mathematical Society 8 Mediterranean Journal of Mathematics 7 Algebras and Representation Theory 7 Bulletin of the Malaysian Mathematical Sciences Society. 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