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## Schultz, Phillip

Compute Distance To:
 Author ID: schultz.phillip Published as: Schultz, Phill; Schultz, Phillip; Schultz, P.; Schultz, Ph.
 Documents Indexed: 84 Publications since 1970, including 3 Books Reviewing Activity: 308 Reviews
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#### Co-Authors

 48 single-authored 6 Breaz, Simion 5 Praeger, Cheryl Elisabeth 4 Calugareanu, Grigore Dumitru jun. 4 Cornelius, E. F. jun. 3 Fuchs, László 3 Mader, Adolf 2 Albrecht, Ulrich F. 2 Göbel, Rüdiger 2 Hausen, Jutta 2 Vinsonhaler, Charles I. 1 Abraham, Ross Peder 1 Aviñó, María Alicia 1 Blagoveshchenskaya, Ekaterina Anatol’evna 1 Bowshell, R. A. 1 Braun, Gábor 1 Dickson, Tom 1 Faticoni, Theodore G. 1 Franzsen, William N. 1 Kelarev, Andrei Vladimirovich 1 Rangaswamy, Kulumani M. 1 Sebel’din, Anatolij M. 1 Stoyanov, Luchezar N. 1 Stoyanova, Elena 1 Strüngmann, Lutz H. 1 Sullivan, Robert Patrick 1 Sylla, A. L. 1 Wickless, William J. 1 Wormald, Nicholas Charles
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#### Serials

 24 The Australian Mathematical Society Gazette 4 Proceedings of the American Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Journal of Algebra 3 Rendiconti del Seminario Matematico della Università di Padova 2 American Mathematical Monthly 2 Pacific Journal of Mathematics 2 Forum Mathematicum 2 Journal of the Australian Mathematical Society. Series A 2 Journal of the Australian Mathematical Society 2 Contemporary Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Communications in Algebra 1 Discrete Mathematics 1 Houston Journal of Mathematics 1 Archiv der Mathematik 1 Ars Combinatoria 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Journal of Recreational Mathematics 1 Mathematica 1 Journal of Integer Sequences 1 Journal of Algebra and its Applications 1 Lecture Notes in Pure and Applied Mathematics
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#### Fields

 48 Group theory and generalizations (20-XX) 24 Associative rings and algebras (16-XX) 22 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 7 Combinatorics (05-XX) 5 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 223 times in 148 Documents Cited by Year
The endomorphism ring of the additive group of a ring. Zbl 0257.20037
Schultz, P.
1973
Unital rings whose additive endomorphisms commute. Zbl 0336.20040
Bowshell, R. A.; Schultz, P.
1977
The Baer-Kaplansky theorem for almost completely decomposable groups. Zbl 0985.20044
Blagoveshchenskaya, E.; Ivanov, G.; Schultz, P.
2001
Direct decompositions of acd groups with primary regulating index. Zbl 0869.20038
Faticoni, Theodore G.; Schultz, Phillip
1996
Abelian groups, rings and modules. Proceedings of the AGRAM 2000 conference, Perth, Australia, July 9–15, 2000. Zbl 0960.00043
Kelarev, A. V. (ed.); Göbel, R. (ed.); Rangaswamy, K. M. (ed.); Schultz, P. (ed.); Vinsonhaler, C. (ed.)
2001
Dualities for self-small groups. Zbl 1262.20057
Breaz, Simion; Schultz, Phill
2012
Self-splitting Abelian groups. Zbl 0990.20036
Schultz, P.
2001
Periodic homomorphism sequences of abelian groups. Zbl 0194.33602
Schultz, Phillip
1970
On a paper of Szele and Szendrei on groups with commutative endomorphism rings. Zbl 0259.20046
Schultz, Ph.
1973
Endomorphism rings and automorphism groups of almost completely decomposable groups. Zbl 0952.20043
Mader, A.; Schultz, P.
2000
Mortality of $$2\times 2$$ matrices. Zbl 0381.15007
Schultz, P.
1977
Completely decomposable direct summands of torsion-free abelian groups of finite rank. Zbl 1435.20060
Mader, Adolf; Schultz, Phill
2018
Most abelian $$p$$-groups are determined by the Jacobson radical of their endomorphism rings. Zbl 0811.20046
Hausen, Jutta; Praeger, Cheryl E.; Schultz, Phillip
1994
Modules with Abelian endomorphism rings. Zbl 1209.16005
Călugăreanu, Grigore; Schultz, Phill
2010
The endomorphism ring of a locally free module. Zbl 0523.16023
Franzsen, W. N.; Schultz, P.
1983
Torsion-free extensions of torsion-free abelian groups. Zbl 0282.20046
Schultz, Phillip
1974
Modules with Dedekind finite endomorphism rings. Zbl 1240.16006
Breaz, Simion; Călugăreanu, Grigore; Schultz, Phill
2011
The typeset and cotypeset of a rank 2 Abelian group. Zbl 0358.20059
Schultz, Phillip
1978
When is an abelian $$p$$-group determined by the Jacobson radical of its endomorphism ring? Zbl 0827.20067
Schultz, Phillip
1994
When Ext commutes with direct sums. Zbl 1273.20057
Breaz, Simion; Schultz, Phill
2012
Notes on mixed groups. II. Zbl 0588.20032
Schultz, Phillip
1986
The Ext functor and self-sums. Zbl 1311.20054
Albrecht, Ulrich; Breaz, Simion; Schultz, Phill
2014
Automorphisms which determine an Abelian $$p$$-group. Zbl 0914.20050
Schultz, Phillip
1998
Functorial properties of Hom and Ext. Zbl 1273.20056
Albrecht, Ulrich; Breaz, Simion; Schultz, Phill
2012
The endomorphism ring of a valuated group. Zbl 0676.20033
Schultz, Phillip
1989
The Loewy length of the Jacobson radical of a bounded endomorphism ring. Zbl 0773.20024
Praeger, Cheryl E.; Schultz, Phillip
1992
Subgroups which admit extensions of homomorphisms. Zbl 1336.20054
Breaz, Simion; Călugăreanu, Grigore; Schultz, Phill
2015
Commuting properties of Ext. Zbl 1285.20059
Schultz, Phill
2013
The maximal normal $$p$$-subgroup of the automorphism group of an Abelian $$p$$-group. Zbl 0911.20037
Hausen, Jutta; Schultz, Phillip
1998
The near endomorphism ring of an almost completely decomposable group. Zbl 0844.20033
Schultz, Phillip
1995
Determination of torsion Abelian groups by their automorphism groups. Zbl 1037.20056
Schultz, P.; Sebeldin, A.; Sylla, A. L.
2003
Multinomial points. Zbl 1151.11013
Cornelius, E. F. jun.; Schultz, Phill
2008
Tartaglia, Archimedes and cubic equations. Zbl 0556.01003
Schultz, Phillip
1984
Notes on mixed groups. I. Zbl 0566.20039
Schultz, Phillip
1984
Annihilator classes of torsion-free Abelian groups. Zbl 0392.20037
Schultz, Phillip
1978
Correction to: The typeset and cotypeset of a rank 2 Abelian group. Zbl 0474.20028
Schultz, Phillip
1981
Endomorphism rings of valued vector spaces. Zbl 0495.16029
Fuchs, L.; Schultz, P.
1981
Enumerations of rooted trees with an application to group presentations. Zbl 0496.05024
Schultz, Phillip
1982
Completely decomposable direct summands of torsion-free abelian groups of finite rank. Zbl 1435.20060
Mader, Adolf; Schultz, Phill
2018
Subgroups which admit extensions of homomorphisms. Zbl 1336.20054
Breaz, Simion; Călugăreanu, Grigore; Schultz, Phill
2015
The Ext functor and self-sums. Zbl 1311.20054
Albrecht, Ulrich; Breaz, Simion; Schultz, Phill
2014
Commuting properties of Ext. Zbl 1285.20059
Schultz, Phill
2013
Dualities for self-small groups. Zbl 1262.20057
Breaz, Simion; Schultz, Phill
2012
When Ext commutes with direct sums. Zbl 1273.20057
Breaz, Simion; Schultz, Phill
2012
Functorial properties of Hom and Ext. Zbl 1273.20056
Albrecht, Ulrich; Breaz, Simion; Schultz, Phill
2012
Modules with Dedekind finite endomorphism rings. Zbl 1240.16006
Breaz, Simion; Călugăreanu, Grigore; Schultz, Phill
2011
Modules with Abelian endomorphism rings. Zbl 1209.16005
Călugăreanu, Grigore; Schultz, Phill
2010
Multinomial points. Zbl 1151.11013
Cornelius, E. F. jun.; Schultz, Phill
2008
Determination of torsion Abelian groups by their automorphism groups. Zbl 1037.20056
Schultz, P.; Sebeldin, A.; Sylla, A. L.
2003
The Baer-Kaplansky theorem for almost completely decomposable groups. Zbl 0985.20044
Blagoveshchenskaya, E.; Ivanov, G.; Schultz, P.
2001
Abelian groups, rings and modules. Proceedings of the AGRAM 2000 conference, Perth, Australia, July 9–15, 2000. Zbl 0960.00043
Kelarev, A. V.; Göbel, R.; Rangaswamy, K. M.; Schultz, P.; Vinsonhaler, C.
2001
Self-splitting Abelian groups. Zbl 0990.20036
Schultz, P.
2001
Endomorphism rings and automorphism groups of almost completely decomposable groups. Zbl 0952.20043
Mader, A.; Schultz, P.
2000
Automorphisms which determine an Abelian $$p$$-group. Zbl 0914.20050
Schultz, Phillip
1998
The maximal normal $$p$$-subgroup of the automorphism group of an Abelian $$p$$-group. Zbl 0911.20037
Hausen, Jutta; Schultz, Phillip
1998
Direct decompositions of acd groups with primary regulating index. Zbl 0869.20038
Faticoni, Theodore G.; Schultz, Phillip
1996
The near endomorphism ring of an almost completely decomposable group. Zbl 0844.20033
Schultz, Phillip
1995
Most abelian $$p$$-groups are determined by the Jacobson radical of their endomorphism rings. Zbl 0811.20046
Hausen, Jutta; Praeger, Cheryl E.; Schultz, Phillip
1994
When is an abelian $$p$$-group determined by the Jacobson radical of its endomorphism ring? Zbl 0827.20067
Schultz, Phillip
1994
The Loewy length of the Jacobson radical of a bounded endomorphism ring. Zbl 0773.20024
Praeger, Cheryl E.; Schultz, Phillip
1992
The endomorphism ring of a valuated group. Zbl 0676.20033
Schultz, Phillip
1989
Notes on mixed groups. II. Zbl 0588.20032
Schultz, Phillip
1986
Tartaglia, Archimedes and cubic equations. Zbl 0556.01003
Schultz, Phillip
1984
Notes on mixed groups. I. Zbl 0566.20039
Schultz, Phillip
1984
The endomorphism ring of a locally free module. Zbl 0523.16023
Franzsen, W. N.; Schultz, P.
1983
Enumerations of rooted trees with an application to group presentations. Zbl 0496.05024
Schultz, Phillip
1982
Correction to: The typeset and cotypeset of a rank 2 Abelian group. Zbl 0474.20028
Schultz, Phillip
1981
Endomorphism rings of valued vector spaces. Zbl 0495.16029
Fuchs, L.; Schultz, P.
1981
The typeset and cotypeset of a rank 2 Abelian group. Zbl 0358.20059
Schultz, Phillip
1978
Annihilator classes of torsion-free Abelian groups. Zbl 0392.20037
Schultz, Phillip
1978
Unital rings whose additive endomorphisms commute. Zbl 0336.20040
Bowshell, R. A.; Schultz, P.
1977
Mortality of $$2\times 2$$ matrices. Zbl 0381.15007
Schultz, P.
1977
Torsion-free extensions of torsion-free abelian groups. Zbl 0282.20046
Schultz, Phillip
1974
The endomorphism ring of the additive group of a ring. Zbl 0257.20037
Schultz, P.
1973
On a paper of Szele and Szendrei on groups with commutative endomorphism rings. Zbl 0259.20046
Schultz, Ph.
1973
Periodic homomorphism sequences of abelian groups. Zbl 0194.33602
Schultz, Phillip
1970
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#### Cited by 104 Authors

 11 Vinsonhaler, Charles I. 10 Göbel, Rüdiger 9 Chekhlov, Andreĭ Rostislavovich 9 Dugas, Manfred H. 9 Mader, Adolf 8 Schultz, Phillip 7 Blagoveshchenskaya, Ekaterina Anatol’evna 7 Breaz, Simion 7 Tsarev, A. V. 7 Tuganbaev, Askar Akanovich 6 Kelarev, Andrei Vladimirovich 6 Krylov, Piotr A. 6 Wickless, William J. 5 Albrecht, Ulrich F. 5 Mutzbauer, Otto 5 Yearwood, J. L. 4 Faticoni, Theodore G. 4 Fomin, Aleksandr Aleksandrovich 4 Goeters, H. Pat 4 Herden, Daniel 4 Mishina, A. P. 4 Shelah, Saharon 4 Solak, Ebru 4 Watters, Paul A. 3 Arnold, David M. 3 Calugareanu, Grigore Dumitru jun. 3 Feigelstock, Shalom 3 Hausen, Jutta 3 Pierce, Richard Scott 3 Strüngmann, Lutz H. 3 Trlifaj, Jan jun. 2 Braun, Gábor 2 Danchev, Peter Vassilev 2 Eklof, Paul C. 2 Flagg, Mary 2 Grishin, Aleksandr V. 2 Lewis, Wayne 2 Reid, James D. 2 Wolfson, Kenneth Graham 1 Abawajy, Jemal H. 1 Abraham, Ross Peder 1 Abrams, Gene D. 1 Abulebda, Lamis J. M. 1 Aceves, Kelly 1 Anokhin, M. I. 1 Antoine, Ramon 1 Artemov, D. Yu. 1 Baker, Kirby A. 1 Baupradist, Samruam 1 Ben Yakoub, L’Moufadal 1 Bowshell, R. A. 1 Chinram, Ronnason 1 Cornelius, E. F. jun. 1 D’Este, Gabriella 1 Elliott, Jesse 1 Fan, Yushuang 1 Fendley, Paul 1 Fuchs, László 1 Geroldinger, Alfred 1 Goeters, Pat 1 Goldsmith, Brendan 1 Gordeeva, Ekaterina Vyacheslavovna 1 Guil Asensio, Pedro A. 1 Gutiérrez, Javier J. 1 Kainrath, Florian 1 Kichenassamy, Satyanad 1 Kunetz, D. 1 Lee, Sangbum 1 Lesage, Frédéric J. 1 Lomp, Christian 1 Loth, Peter 1 Markov, Viktor T. 1 Matczuk, Jerzy 1 Mazurek, Ryszard 1 Mikhalëv, Aleksandr Vasil’evich 1 Nghiem, Nguyen Dang Hoa 1 Nongxa, Loyiso G. 1 Oman, Greg G. 1 O’Meara, Kevin C. 1 Pan, Linlin 1 Paradero-Vilela, Jocelyn S. 1 Paras, Agnes T. 1 Perera, Francesc 1 Pop, Flaviu Vasile 1 Praeger, Cheryl Elisabeth 1 Przeździecki, Adam J. 1 Quynh, Truong Cong 1 Racca, Robert 1 Saleur, Hubert 1 Sebel’din, Anatolij M. 1 Skornyakov, Lev Anatolevich 1 Srivastava, Ashish Kumar 1 Thiel, Hannes 1 Timoshenko, Egor A. 1 Toubassi, Elias 1 Tribak, Rachid 1 Tringali, Salvatore 1 Valculescu, Claudiu 1 Vershina, S. V. 1 Wagner, Bradley G. ...and 4 more Authors
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#### Cited in 49 Serials

 21 Journal of Algebra 19 Journal of Mathematical Sciences (New York) 13 Communications in Algebra 8 Rendiconti del Seminario Matematico della Università di Padova 6 Journal of Pure and Applied Algebra 5 Rocky Mountain Journal of Mathematics 5 Proceedings of the American Mathematical Society 4 Bulletin of the Australian Mathematical Society 4 Journal of Soviet Mathematics 4 Semigroup Forum 4 Journal of the Australian Mathematical Society 4 Chebyshevskiĭ Sbornik 3 Mathematical Notes 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Acta Mathematica Hungarica 2 Journal of Group Theory 2 Algebras and Representation Theory 2 Journal of Algebra and its Applications 2 Journal of Mathematics 1 Journal of Statistical Physics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Algebra and Logic 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 Historia Mathematica 1 International Journal of Computer Mathematics 1 Russian Mathematics 1 Applied Categorical Structures 1 Journal of the European Mathematical Society (JEMS) 1 Lobachevskii Journal of Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Asian-European Journal of Mathematics 1 Journal of Commutative Algebra 1 Bulletin of Mathematical Sciences 1 Axioms 1 Prikladnaya Diskretnaya Matematika
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#### Cited in 22 Fields

 116 Group theory and generalizations (20-XX) 80 Associative rings and algebras (16-XX) 30 Commutative algebra (13-XX) 10 Category theory; homological algebra (18-XX) 8 Number theory (11-XX) 6 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 6 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Combinatorics (05-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX)