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Author ID: nielsen.pace-p Recent zbMATH articles by "Nielsen, Pace P."
Published as: Nielsen, Pace P.; Nielsen, Pace
Documents Indexed: 61 Publications since 2002, including 1 Additional arXiv Preprint
Reviewing Activity: 32 Reviews
Co-Authors: 49 Co-Authors with 46 Joint Publications
909 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 462 times in 307 Documents Cited by Year
Semi-commutativity and the McCoy condition. Zbl 1110.16036
Nielsen, Pace P.
78
2006
McCoy rings and zero-divisors. Zbl 1162.16021
Camillo, Victor; Nielsen, Pace P.
55
2008
Odd perfect numbers have at least nine distinct prime factors. Zbl 1142.11086
Nielsen, Pace P.
19
2007
Jacobson’s Lemma for Drazin inverses. Zbl 1294.15005
Lam, T. Y.; Nielsen, Pace P.
19
2014
Nilpotent ideals in polynomial and power series rings. Zbl 1209.16014
Camillo, Victor; Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
17
2010
Idempotent lifting and ring extensions. Zbl 1345.16041
Diesl, Alexander J.; Dittmer, Samuel J.; Nielsen, Pace P.
15
2016
Odd perfect numbers, Diophantine equations, and upper bounds. Zbl 1325.11009
Nielsen, Pace P.
15
2015
Square-free modules with the exchange property. Zbl 1213.16003
Nielsen, Pace P.
14
2010
Commuting idempotents, square-free modules, and the exchange property. Zbl 1337.16008
Mazurek, Ryszard; Nielsen, Pace P.; Ziembowski, Michał
14
2015
Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings. Zbl 1445.16008
Nielsen, Pace P.; Šter, Janez
14
2018
An upper bound for odd perfect numbers. Zbl 1085.11003
Nielsen, Pace P.
11
2003
An ensemble of idempotent lifting hypotheses. Zbl 1416.16011
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
11
2018
Exchange elements in rings, and the equation \(XA-BX=I\). Zbl 1396.16033
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
10
2017
Row and column finite matrices. Zbl 1143.16029
Nielsen, Pace P.
9
2007
A covering system whose smallest modulus is 40. Zbl 1234.11011
Nielsen, Pace P.
9
2009
Uniquely clean elements in rings. Zbl 1335.16025
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Zhou, Yiqiang
9
2015
Perspectivity and von Neumann regularity. Zbl 1491.16005
Khurana, Dinesh; Nielsen, Pace P.
9
2021
Countable exchange and full exchange rings. Zbl 1118.16006
Nielsen, Pace P.
8
2007
Half-orthogonal sets of idempotents. Zbl 1344.16034
Camillo, Victor P.; Nielsen, Pace P.
8
2016
The upper nilradical and Jacobson radical of semigroup graded rings. Zbl 1309.16029
Mazurek, Ryszard; Nielsen, Pace P.; Ziembowski, Michał
8
2015
Special clean elements in rings. Zbl 1460.16043
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Šter, Janez
8
2020
The minimal prime spectrum of rings with annihilator conditions. Zbl 1218.16001
Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
7
2009
Sieve methods for odd perfect numbers. Zbl 1268.11004
Fletcher, S. Adam; Nielsen, Pace P.; Ochem, Pascal
6
2012
Inner inverses and inner annihilators in rings. Zbl 1327.16023
Lam, T. Y.; Nielsen, Pace P.
6
2014
Covering systems with restricted divisibility. Zbl 1441.11005
Hough, Robert D.; Nielsen, Pace P.
6
2019
Non-self-injective injective hulls with compatible multiplication. Zbl 1127.16002
Camillo, Victor; Herzog, Ivo; Nielsen, Pace P.
5
2007
Abelian exchange modules. Zbl 1087.16005
Nielsen, Pace P.
5
2005
Derivations and bounded nilpotence index. Zbl 1325.16016
Nielsen, Pace P.; Ziembowski, Michał
5
2015
On a question of Hartwig and Luh. Zbl 1307.16013
Dittmer, Samuel J.; Khurana, Dinesh; Nielsen, Pace P.
5
2014
Two-sided properties of elements in exchange rings. Zbl 1337.16007
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
4
2015
The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078
Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe
4
2014
Zero-divisor placement, a condition of Camillo, and the McCoy property. Zbl 1465.16037
Baeck, Jongwook; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
4
2020
Transitivity of perspectivity. Zbl 1491.16006
Khurana, Dinesh; Nielsen, Pace P.
4
2022
On \(\sigma\)-nil ideals of bounded index of \(\sigma\)-nilpotence. Zbl 1276.16022
Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
4
2012
Dedekind-finite strongly clean rings. Zbl 1302.16034
Camillo, Victor; Dorsey, Thomas J.; Nielsen, Pace P.
4
2014
Homogeneous nilradicals over semigroup graded rings. Zbl 1401.16021
Hong, Chan Yong; Kim, Nam Kyun; Madill, Blake W.; Nielsen, Pace P.; Ziembowski, Michał
3
2018
Exchange rings, exchange equations, and lifting properties. Zbl 1372.16042
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
3
2016
On Vaughan Pratt’s crossword problem. Zbl 1484.06032
Bergman, George M.; Nielsen, Pace P.
3
2016
Amitsur’s property for skew polynomials of derivation type. Zbl 1383.16028
Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
3
2017
Convolution operators and entire functions with simple zeros. Zbl 1043.44004
Cardon, David A.; Nielsen, Pace P.
3
2002
Simplifying Smoktunowicz’s extraordinary example. Zbl 1283.16018
Nielsen, Pace P.
3
2013
Bootstrapping the bounded nilradical. Zbl 1287.16021
Nielsen, Pace P.
3
2013
Sums of units in self-injective rings. Zbl 1301.16043
Khurana, Anjana; Khurana, Dinesh; Nielsen, Pace P.
2
2014
Properties which do not pass to classical rings of quotients. Zbl 1308.16024
Diesl, Alexander J.; Hong, Chan Yong; Kim, Nam Kyun; Nielsen, Pace P.
2
2013
IC rings and transitivity of perspectivity. Zbl 1514.16005
Mary, Xavier; Nielsen, Pace P.
2
2022
Radicals in skew polynomial and skew Laurent polynomial rings. Zbl 1314.16012
Hong, Chan Yong; Kim, Nam Kyun; Nielsen, Pace P.
2
2014
Jacobson pairs and Bott-Duffin decompositions in rings. Zbl 1429.16008
Lam, T. Y.; Nielsen, Pace P.
1
2019
Transfinitely valued Euclidean domains have arbitrary indecomposable order type. Zbl 1411.13030
Conidis, Chris J.; Nielsen, Pace P.; Tombs, Vandy
1
2019
Idempotent chains and bounded generation of \(\mathrm{SL}_2\). Zbl 07701479
Khurana, Dinesh; Mary, Xavier; Nielsen, Pace P.
1
2023
On a theorem of Camps and Dicks. Zbl 1194.16014
Camillo, Victor; Nielsen, Pace P.
1
2010
Idempotent chains and bounded generation of \(\mathrm{SL}_2\). Zbl 07701479
Khurana, Dinesh; Mary, Xavier; Nielsen, Pace P.
1
2023
Transitivity of perspectivity. Zbl 1491.16006
Khurana, Dinesh; Nielsen, Pace P.
4
2022
IC rings and transitivity of perspectivity. Zbl 1514.16005
Mary, Xavier; Nielsen, Pace P.
2
2022
Perspectivity and von Neumann regularity. Zbl 1491.16005
Khurana, Dinesh; Nielsen, Pace P.
9
2021
Special clean elements in rings. Zbl 1460.16043
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Šter, Janez
8
2020
Zero-divisor placement, a condition of Camillo, and the McCoy property. Zbl 1465.16037
Baeck, Jongwook; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
4
2020
Covering systems with restricted divisibility. Zbl 1441.11005
Hough, Robert D.; Nielsen, Pace P.
6
2019
Jacobson pairs and Bott-Duffin decompositions in rings. Zbl 1429.16008
Lam, T. Y.; Nielsen, Pace P.
1
2019
Transfinitely valued Euclidean domains have arbitrary indecomposable order type. Zbl 1411.13030
Conidis, Chris J.; Nielsen, Pace P.; Tombs, Vandy
1
2019
Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings. Zbl 1445.16008
Nielsen, Pace P.; Šter, Janez
14
2018
An ensemble of idempotent lifting hypotheses. Zbl 1416.16011
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
11
2018
Homogeneous nilradicals over semigroup graded rings. Zbl 1401.16021
Hong, Chan Yong; Kim, Nam Kyun; Madill, Blake W.; Nielsen, Pace P.; Ziembowski, Michał
3
2018
Exchange elements in rings, and the equation \(XA-BX=I\). Zbl 1396.16033
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
10
2017
Amitsur’s property for skew polynomials of derivation type. Zbl 1383.16028
Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
3
2017
Idempotent lifting and ring extensions. Zbl 1345.16041
Diesl, Alexander J.; Dittmer, Samuel J.; Nielsen, Pace P.
15
2016
Half-orthogonal sets of idempotents. Zbl 1344.16034
Camillo, Victor P.; Nielsen, Pace P.
8
2016
Exchange rings, exchange equations, and lifting properties. Zbl 1372.16042
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
3
2016
On Vaughan Pratt’s crossword problem. Zbl 1484.06032
Bergman, George M.; Nielsen, Pace P.
3
2016
Odd perfect numbers, Diophantine equations, and upper bounds. Zbl 1325.11009
Nielsen, Pace P.
15
2015
Commuting idempotents, square-free modules, and the exchange property. Zbl 1337.16008
Mazurek, Ryszard; Nielsen, Pace P.; Ziembowski, Michał
14
2015
Uniquely clean elements in rings. Zbl 1335.16025
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.; Zhou, Yiqiang
9
2015
The upper nilradical and Jacobson radical of semigroup graded rings. Zbl 1309.16029
Mazurek, Ryszard; Nielsen, Pace P.; Ziembowski, Michał
8
2015
Derivations and bounded nilpotence index. Zbl 1325.16016
Nielsen, Pace P.; Ziembowski, Michał
5
2015
Two-sided properties of elements in exchange rings. Zbl 1337.16007
Khurana, Dinesh; Lam, T. Y.; Nielsen, Pace P.
4
2015
Jacobson’s Lemma for Drazin inverses. Zbl 1294.15005
Lam, T. Y.; Nielsen, Pace P.
19
2014
Inner inverses and inner annihilators in rings. Zbl 1327.16023
Lam, T. Y.; Nielsen, Pace P.
6
2014
On a question of Hartwig and Luh. Zbl 1307.16013
Dittmer, Samuel J.; Khurana, Dinesh; Nielsen, Pace P.
5
2014
The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078
Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe
4
2014
Dedekind-finite strongly clean rings. Zbl 1302.16034
Camillo, Victor; Dorsey, Thomas J.; Nielsen, Pace P.
4
2014
Sums of units in self-injective rings. Zbl 1301.16043
Khurana, Anjana; Khurana, Dinesh; Nielsen, Pace P.
2
2014
Radicals in skew polynomial and skew Laurent polynomial rings. Zbl 1314.16012
Hong, Chan Yong; Kim, Nam Kyun; Nielsen, Pace P.
2
2014
Simplifying Smoktunowicz’s extraordinary example. Zbl 1283.16018
Nielsen, Pace P.
3
2013
Bootstrapping the bounded nilradical. Zbl 1287.16021
Nielsen, Pace P.
3
2013
Properties which do not pass to classical rings of quotients. Zbl 1308.16024
Diesl, Alexander J.; Hong, Chan Yong; Kim, Nam Kyun; Nielsen, Pace P.
2
2013
Sieve methods for odd perfect numbers. Zbl 1268.11004
Fletcher, S. Adam; Nielsen, Pace P.; Ochem, Pascal
6
2012
On \(\sigma\)-nil ideals of bounded index of \(\sigma\)-nilpotence. Zbl 1276.16022
Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
4
2012
Nilpotent ideals in polynomial and power series rings. Zbl 1209.16014
Camillo, Victor; Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
17
2010
Square-free modules with the exchange property. Zbl 1213.16003
Nielsen, Pace P.
14
2010
On a theorem of Camps and Dicks. Zbl 1194.16014
Camillo, Victor; Nielsen, Pace P.
1
2010
A covering system whose smallest modulus is 40. Zbl 1234.11011
Nielsen, Pace P.
9
2009
The minimal prime spectrum of rings with annihilator conditions. Zbl 1218.16001
Hong, Chan Yong; Kim, Nam Kyun; Lee, Yang; Nielsen, Pace P.
7
2009
McCoy rings and zero-divisors. Zbl 1162.16021
Camillo, Victor; Nielsen, Pace P.
55
2008
Odd perfect numbers have at least nine distinct prime factors. Zbl 1142.11086
Nielsen, Pace P.
19
2007
Row and column finite matrices. Zbl 1143.16029
Nielsen, Pace P.
9
2007
Countable exchange and full exchange rings. Zbl 1118.16006
Nielsen, Pace P.
8
2007
Non-self-injective injective hulls with compatible multiplication. Zbl 1127.16002
Camillo, Victor; Herzog, Ivo; Nielsen, Pace P.
5
2007
Semi-commutativity and the McCoy condition. Zbl 1110.16036
Nielsen, Pace P.
78
2006
Abelian exchange modules. Zbl 1087.16005
Nielsen, Pace P.
5
2005
An upper bound for odd perfect numbers. Zbl 1085.11003
Nielsen, Pace P.
11
2003
Convolution operators and entire functions with simple zeros. Zbl 1043.44004
Cardon, David A.; Nielsen, Pace P.
3
2002
all top 5

Cited by 339 Authors

31 Lee, Yang
31 Nielsen, Pace P.
15 Kim, Nam Kyun
14 Alhevaz, Abdollah
14 Kwak, Tai Keun
13 Ibrahim, Yasser F.
13 Yousif, Mohamed F.
12 Khurana, Dinesh
10 Hong, Chan Yong
10 Mary, Xavier
9 Hashemi, Ebrahim
9 Moussavi, Ahmad
9 Ziembowski, Michał
7 Danchev, Peter Vassilev
7 Ilić-Georgijević, Emil
7 Kim, Hong Kee
7 Lam, Tsit-Yuen
7 Yamada, Tomohiro
6 Chen, Jianlong
6 Habibi, Mohammad Hassan
6 López-Permouth, Sergio Roberto
6 Mazurek, Ryszard
6 Yun, Sang Jo
6 Zhou, Yiqiang
5 Baeck, Jongwook
5 Lee, Chang Ik
4 Altun-Özarslan, Meltem
4 Birkenmeier, Gary Francis
4 Koşan, Muhammet Tamer
4 Mohammadi, Rasul
4 Ouyang, Lunqun
4 Paykan, Kamal
4 Ryu, Sung Ju
4 Šter, Janez
4 Zahiri, Masoome
3 Balister, Paul N.
3 Bollobás, Béla
3 Calugareanu, Grigore Dumitru jun.
3 Camillo, Victor P.
3 Cardon, David A.
3 Chen, Huanyin
3 Guil Asensio, Pedro A.
3 Infusino, Federico G.
3 Jung, Dawoon
3 Khurana, Anjana
3 Liu, Zhong-kui
3 Marks, Greg
3 Morris, Robert D.
3 Ochem, Pascal
3 Özcan, Ayşe Çiğdem
3 Sahasrabudhe, Julian
3 Seo, Yeonsook
3 Singh, Amit Bhooshan
3 Smoktunowicz, Agata
3 Srivastava, Ashish Kumar
3 Tercan, Adnan
3 Tiba, Marius
3 Zelinsky, Joshua
2 Aghapouramin, Vahid
2 Aydoğdu, Pınar
2 Celep Yücel, Canan
2 Chaturvedi, Avanish Kumar
2 Chebotar, Mikhail A.
2 Chen, Feiyu
2 Chen, Yonggao
2 Chiaselotti, Giampiero
2 Ding, Nanqing
2 Drazin, Michael P.
2 Filaseta, Michael A.
2 Ghashghaei, Ebrahim
2 Goto, Takeshi
2 Hagan, Hannah
2 Han, Juncheol
2 Harrington, Joshua
2 Holdener, Judy A.
2 Jin, Hailan
2 Kiani, Dariush
2 Kumar, Nirbhay
2 Leroy, André Gérard
2 Mai Hoang Bien
2 Muhammad, Rebin A.
2 Nikmehr, Mohammad Javad
2 Park, Jae Keol
2 Park, Sangwon
2 Patrício, Pedro
2 Piao, Zhelin
2 Positselski, Leonid Efimovich
2 Rao, Michaël
2 Rizvi, Syed Tariq
2 Seo, Young Joo
2 Sharma, Rajendra Kumar
2 Stanley, Benjamin
2 Šťovíček, Jan
2 Tarizadeh, Abolfazl
2 Wang, Allison Yi Fang
2 Wang, Zhou
2 Wei, Junchao
2 Wu, Cang
2 Wu, Liyun
2 Wu, Zhenying
...and 239 more Authors
all top 5

Cited in 92 Serials

57 Communications in Algebra
30 Journal of Algebra and its Applications
18 Journal of Pure and Applied Algebra
12 Journal of Algebra
10 Mathematics of Computation
9 Integers
7 Linear and Multilinear Algebra
7 International Journal of Algebra and Computation
7 Filomat
6 Bulletin of the Australian Mathematical Society
6 Bulletin of the Korean Mathematical Society
5 Algebras and Representation Theory
5 Communications of the Korean Mathematical Society
4 Israel Journal of Mathematics
4 Acta Arithmetica
4 Journal of Number Theory
3 Rocky Mountain Journal of Mathematics
3 Glasgow Mathematical Journal
3 Transactions of the American Mathematical Society
3 Linear Algebra and its Applications
3 Algebra Colloquium
3 Turkish Journal of Mathematics
3 Journal of Integer Sequences
3 International Journal of Number Theory
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Korean Journal of Mathematics
2 Discrete Mathematics
2 Journal of Mathematical Analysis and Applications
2 The Mathematical Intelligencer
2 Journal of the Korean Mathematical Society
2 Proceedings of the American Mathematical Society
2 Semigroup Forum
2 Publicacions Matemàtiques
2 Buletinul Academiei de Științe a Republicii Moldova. Matematica
2 Taiwanese Journal of Mathematics
2 Mediterranean Journal of Mathematics
2 Asian-European Journal of Mathematics
2 Cogent Mathematics & Statistics
1 American Mathematical Monthly
1 Indian Journal of Pure & Applied Mathematics
1 Advances in Mathematics
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Gaṇita
1 Inventiones Mathematicae
1 The Journal of the Indian Mathematical Society. New Series
1 Kyungpook Mathematical Journal
1 Le Matematiche
1 Mathematica Slovaca
1 Quaestiones Mathematicae
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ricerche di Matematica
1 Synthese
1 Acta Mathematica Hungarica
1 Advances in Mathematics (Beijing)
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Acta Mathematica Universitatis Comenianae. New Series
1 Designs, Codes and Cryptography
1 Glasnik Matematički. Serija III
1 Expositiones Mathematicae
1 Journal de Théorie des Nombres de Bordeaux
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 ELA. The Electronic Journal of Linear Algebra
1 Doklady Mathematics
1 Vietnam Journal of Mathematics
1 Matematychni Studiï
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 JP Journal of Algebra, Number Theory and Applications
1 Proyecciones
1 Frontiers of Mathematics in China
1 International Electronic Journal of Algebra (IEJA)
1 Algebra & Number Theory
1 São Paulo Journal of Mathematical Sciences
1 Applied General Topology
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Journal of Mahani Mathematical Research Center
1 Palestine Journal of Mathematics
1 Communications in Mathematics and Statistics
1 Open Mathematics
1 Algebraic Structures and their Applications
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Algebraic Systems

Citations by Year