Edit Profile (opens in new tab) Oman, Greg G. Compute Distance To: Compute Author ID: oman.greg-g Published as: Oman, Greg; Oman, Greg G. Documents Indexed: 52 Publications since 2007 Co-Authors: 21 Co-Authors with 26 Joint Publications 114 Co-Co-Authors all top 5 Co-Authors 26 single-authored 6 Salminen, Adam 2 Kearnes, Keith A. 2 Loper, Kenneth Alan 2 Schwiebert, Ryan C. 2 Werner, Nicholas J. 1 Azarang, Alborz 1 Berndt, Ryan M. 1 Coykendall, James 1 Eidolon, Katrina 1 Griffith, Ben 1 Hammett, Adam 1 Harmon, Luke J. 1 Hovenga, Van 1 Lojewski, Jacob 1 Marth, Veronica 1 Mesyan, Zachary 1 Morrow, Greg 1 Randall, Caitlin 1 Robinson, Logan 1 Slattum, Victoria 1 Stroud, John all top 5 Serials 8 Communications in Algebra 5 Semigroup Forum 4 Pi Mu Epsilon Journal 4 Journal of Algebra and its Applications 3 Algebra Universalis 3 Involve 2 Houston Journal of Mathematics 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 Missouri Journal of Mathematical Sciences 2 The College Mathematics Journal 2 Journal of Commutative Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 International Journal of Mathematics and Mathematical Sciences 1 Real Analysis Exchange 1 Reports on Mathematical Logic 1 Forum Mathematicum 1 Elemente der Mathematik 1 Archive for Mathematical Logic 1 Mathematical Logic Quarterly (MLQ) 1 Mediterranean Journal of Mathematics 1 International Journal of Algebra all top 5 Fields 26 Commutative algebra (13-XX) 16 Mathematical logic and foundations (03-XX) 13 Group theory and generalizations (20-XX) 7 Associative rings and algebras (16-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Mathematics education (97-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 2 General algebraic systems (08-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 109 times in 51 Documents Cited by ▼ Year ▼ Jónsson modules over Noetherian rings. Zbl 1220.13008Oman, Greg 10 2010 Some results on Jónsson modules over a commutative ring. Zbl 1163.13005Oman, Greg 8 2009 Cardinalities of residue fields of Noetherian integral domains. Zbl 1204.13012Kearnes, Keith A.; Oman, Greg 8 2010 More results on congruent modules. Zbl 1168.13005Oman, Greg 7 2009 On modules whose proper homomorphic images are of smaller cardinality. Zbl 1239.13015Oman, Greg; Salminen, Adam 7 2012 The converse of the intermediate value theorem: from Conway to Cantor to cosets and beyond. Zbl 1311.26002Oman, Greg 7 2014 Small and large ideals of an associative ring. Zbl 1298.16002Oman, Greg 6 2014 Ring semigroups whose subsemigroups form a chain. Zbl 1170.20038Oman, Greg 5 2009 On elementarily \(\kappa \)-homogeneous unary structures. Zbl 1245.03054Oman, Greg 5 2011 On modules \(M\) for which \(N\cong M\) for every submodule \(N\) of size \(|M|\). Zbl 1184.13031Oman, Greg 4 2009 Divisible multiplicative groups of fields. Zbl 1331.12008Oman, Greg 4 2016 Jónsson posets and unary Jónsson algebras. Zbl 1282.06002Kearnes, Keith A.; Oman, Greg 4 2013 Residually small commutative rings. Zbl 1400.13010Oman, Greg; Salminen, Adam 3 2018 On infinite modules \(M\) over a Dedekind domain for which \(N\cong M\) for every submodule \(N\) of cardinality \(|M|\). Zbl 1166.13014Oman, Greg 3 2009 Rings which admit faithful torsion modules. II. Zbl 1244.16003Oman, Greg; Schwiebert, Ryan 3 2012 Rings which admit faithful torsion modules. Zbl 1247.16002Oman, Greg; Schwiebert, Ryan 3 2012 Strongly Jónsson and strongly HS modules. Zbl 1317.13005Oman, Greg 3 2014 Factorization theory of root closed monoids of small rank. Zbl 1402.20065Coykendall, Jim; Oman, Greg 3 2017 Residual smallness in commutative algebra. Zbl 1439.13010Oman, Greg; Salminen, Adam 2 2018 Ring semigroups whose subsemigroups intersect. Zbl 1181.20057Oman, Greg 2 2009 Commutative rings with infinitely many maximal subrings. Zbl 1308.13012Azarang, Alborz; Oman, Greg 2 2014 The axiomatizability of the class of root closed monoids. Zbl 1467.03012Loper, K. Alan; Oman, Greg; Werner, Nicholas J. 2 2015 Rings whose multiplicative endomorphisms are power functions. Zbl 1275.13006Oman, Greg 2 2013 Modules which are isomorphic to their factor modules. Zbl 1266.13006Oman, Greg; Salminen, Adam 1 2013 A characterization of large Dedekind domains. Zbl 1445.13017Oman, Greg 1 2020 An infinite cardinal-valued Krull dimension for rings. Zbl 1409.13045Loper, K. Alan; Mesyan, Zachary; Oman, Greg 1 2019 Jonsson and HS modules over commutative rings. Zbl 1286.13007Oman, Greg 1 2014 Elementarily \(\lambda\)-homogeneous binary functions. Zbl 1421.03017Oman, Greg 1 2017 A note on strongly Jónsson binary relational structures. Zbl 1321.06004Oman, Greg 1 2015 A characterization of large Dedekind domains. Zbl 1445.13017Oman, Greg 1 2020 An infinite cardinal-valued Krull dimension for rings. Zbl 1409.13045Loper, K. Alan; Mesyan, Zachary; Oman, Greg 1 2019 Residually small commutative rings. Zbl 1400.13010Oman, Greg; Salminen, Adam 3 2018 Residual smallness in commutative algebra. Zbl 1439.13010Oman, Greg; Salminen, Adam 2 2018 Factorization theory of root closed monoids of small rank. Zbl 1402.20065Coykendall, Jim; Oman, Greg 3 2017 Elementarily \(\lambda\)-homogeneous binary functions. Zbl 1421.03017Oman, Greg 1 2017 Divisible multiplicative groups of fields. Zbl 1331.12008Oman, Greg 4 2016 The axiomatizability of the class of root closed monoids. Zbl 1467.03012Loper, K. Alan; Oman, Greg; Werner, Nicholas J. 2 2015 A note on strongly Jónsson binary relational structures. Zbl 1321.06004Oman, Greg 1 2015 The converse of the intermediate value theorem: from Conway to Cantor to cosets and beyond. Zbl 1311.26002Oman, Greg 7 2014 Small and large ideals of an associative ring. Zbl 1298.16002Oman, Greg 6 2014 Strongly Jónsson and strongly HS modules. Zbl 1317.13005Oman, Greg 3 2014 Commutative rings with infinitely many maximal subrings. Zbl 1308.13012Azarang, Alborz; Oman, Greg 2 2014 Jonsson and HS modules over commutative rings. Zbl 1286.13007Oman, Greg 1 2014 Jónsson posets and unary Jónsson algebras. Zbl 1282.06002Kearnes, Keith A.; Oman, Greg 4 2013 Rings whose multiplicative endomorphisms are power functions. Zbl 1275.13006Oman, Greg 2 2013 Modules which are isomorphic to their factor modules. Zbl 1266.13006Oman, Greg; Salminen, Adam 1 2013 On modules whose proper homomorphic images are of smaller cardinality. Zbl 1239.13015Oman, Greg; Salminen, Adam 7 2012 Rings which admit faithful torsion modules. II. Zbl 1244.16003Oman, Greg; Schwiebert, Ryan 3 2012 Rings which admit faithful torsion modules. Zbl 1247.16002Oman, Greg; Schwiebert, Ryan 3 2012 On elementarily \(\kappa \)-homogeneous unary structures. Zbl 1245.03054Oman, Greg 5 2011 Jónsson modules over Noetherian rings. Zbl 1220.13008Oman, Greg 10 2010 Cardinalities of residue fields of Noetherian integral domains. Zbl 1204.13012Kearnes, Keith A.; Oman, Greg 8 2010 Some results on Jónsson modules over a commutative ring. Zbl 1163.13005Oman, Greg 8 2009 More results on congruent modules. Zbl 1168.13005Oman, Greg 7 2009 Ring semigroups whose subsemigroups form a chain. Zbl 1170.20038Oman, Greg 5 2009 On modules \(M\) for which \(N\cong M\) for every submodule \(N\) of size \(|M|\). Zbl 1184.13031Oman, Greg 4 2009 On infinite modules \(M\) over a Dedekind domain for which \(N\cong M\) for every submodule \(N\) of cardinality \(|M|\). Zbl 1166.13014Oman, Greg 3 2009 Ring semigroups whose subsemigroups intersect. Zbl 1181.20057Oman, Greg 2 2009 all cited Publications top 5 cited Publications all top 5 Cited by 55 Authors 21 Oman, Greg G. 3 Mazurek, Ryszard 3 Salminen, Adam 2 Azarang, Alborz 2 Bernardi, Claudio 2 Eubanks-Turner, Christina 2 Fallah-Moghaddam, R. 2 Gaur, Atul 2 Gotti, Felix 2 Kumar, Rahul 2 Trombetti, Marco 1 Assous, Roland 1 Bair, Jacques 1 Beyranvand, Reza 1 Błaszczyk, Piotr 1 Celikbas, Ela 1 Chapman, Scott Thomas 1 Colbert, Cory H. 1 Farzi-Safarabadi, Ahadollah 1 Ferrara, Maria 1 Filipowicz, M. 1 Gaber, Iris 1 Ghosh, Aniruddha 1 Gotti, Marly 1 Guillén, Elías Fuentes 1 Harmon, Luke J. 1 Heinig, Peter 1 Kabbouch, Oussama 1 Kanovei, Vladimir G. 1 Katz, Mikhail G. 1 Kearnes, Keith A. 1 Kępczyk, Marek 1 Khan, Mohammed Ali 1 Kodess, Alex M. 1 Kronenthal, Brian G. 1 Lettl, Günter Hermann Alexander 1 Lev, Arieh 1 Lojewski, Jacob 1 Loper, Kenneth Alan 1 Luckas, Melissa R. 1 Mesyan, Zachary 1 Mirzaii, Behrooz 1 Moshtagh, Hossein 1 Najmeddine, Mustapha 1 Pouzet, Maurice 1 Rainaldi, Claudio 1 Rigby, Simon W. 1 Robinett, Ethan 1 Saydam, Azime Serpil 1 Stroud, John 1 Uyanık, Metin 1 van den Hove, Thibaud 1 Wiegand, Sylvia M. 1 Wong, Wing Hong Tony 1 Zigdon, Romina all top 5 Cited in 25 Serials 6 Semigroup Forum 5 Journal of Algebra 5 Journal of Algebra and its Applications 4 Algebra Universalis 3 Communications in Algebra 3 Journal of Pure and Applied Algebra 2 American Mathematical Monthly 2 Archiv der Mathematik 2 International Journal of Mathematics and Mathematical Sciences 2 Involve 2 Journal of Commutative Algebra 1 Bulletin of the Australian Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Le Matematiche 1 Quaestiones Mathematicae 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Mathematical Logic Quarterly (MLQ) 1 The Electronic Journal of Combinatorics 1 Soft Computing 1 International Electronic Journal of Algebra (IEJA) 1 Games 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 British Journal for the History of Mathematics all top 5 Cited in 17 Fields 23 Commutative algebra (13-XX) 15 Group theory and generalizations (20-XX) 12 Mathematical logic and foundations (03-XX) 7 Associative rings and algebras (16-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Field theory and polynomials (12-XX) 4 Real functions (26-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 General algebraic systems (08-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 \(K\)-theory (19-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year