| Semi-commutativity and the McCoy condition PP Nielsen Journal of Algebra 298 (1), 134-141, 2006 | 200 | 2006 |
| McCoy rings and zero-divisors V Camillo, PP Nielsen Journal of Pure and Applied Algebra 212 (3), 599-615, 2008 | 130 | 2008 |
| Odd perfect numbers have at least nine distinct prime factors P Nielsen Mathematics of Computation 76 (260), 2109-2126, 2007 | 99 | 2007 |
| An upper bound for odd perfect numbers PP Nielsen Integers 3 (A14), 1-9, 2003 | 57 | 2003 |
| Odd perfect numbers, Diophantine equations, and upper bounds P Nielsen Mathematics of Computation 84 (295), 2549-2567, 2015 | 44 | 2015 |
| Jacobson’s Lemma for Drazin Inverses TY Lam, PP Nielsen Ring Theory and Its Applications 609, 185, 2014 | 34 | 2014 |
| A covering system whose smallest modulus is 40 PP Nielsen Journal of Number Theory 129 (3), 640-666, 2009 | 34 | 2009 |
| Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings P Nielsen, J Šter Transactions of the American Mathematical Society 370 (3), 1759-1782, 2018 | 27 | 2018 |
| Commuting idempotents, square-free modules, and the exchange property R Mazurek, PP Nielsen, M Ziembowski Journal of Algebra 444, 52-80, 2015 | 25 | 2015 |
| Nilpotent ideals in polynomial and power series rings V Camillo, C Hong, N Kim, Y Lee, P Nielsen Proceedings of the American Mathematical Society 138 (5), 1607-1619, 2010 | 25 | 2010 |
| Idempotent lifting and ring extensions AJ Diesl, SJ Dittmer, PP Nielsen Journal of Algebra and Its Applications 15 (06), 1650112, 2016 | 23 | 2016 |
| Exchange elements in rings, and the equation 𝑋𝐴-𝐵𝑋= 𝐼 D Khurana, TY Lam, P Nielsen Transactions of the American Mathematical Society 369 (1), 495-516, 2017 | 22 | 2017 |
| Square-free modules with the exchange property PP Nielsen Journal of Algebra 323 (7), 1993-2001, 2010 | 22 | 2010 |
| Sieve methods for odd perfect numbers S Fletcher, P Nielsen, P Ochem Mathematics of Computation 81 (279), 1753-1776, 2012 | 20 | 2012 |
| Uniquely Clean Elements in Rings D Khurana, TY Lam, PP Nielsen, Y Zhou Communications in Algebra 43 (5), 1742-1751, 2015 | 19 | 2015 |
| Perspectivity and von Neumann regularity D Khurana, PP Nielsen Communications in Algebra 49 (12), 5483-5499, 2021 | 17 | 2021 |
| An ensemble of idempotent lifting hypotheses D Khurana, TY Lam, PP Nielsen Journal of Pure and Applied Algebra 222 (6), 1489-1511, 2018 | 17 | 2018 |
| The upper nilradical and Jacobson radical of semigroup graded rings R Mazurek, PP Nielsen, M Ziembowski Journal of Pure and Applied Algebra 219 (4), 1082-1094, 2015 | 17 | 2015 |
| Row and column finite matrices P Nielsen Proceedings of the American Mathematical Society 135 (9), 2689-2697, 2007 | 16 | 2007 |
| Countable exchange and full exchange rings PP Nielsen Communications in Algebra 35 (1), 3-23, 2006 | 16 | 2006 |
Dinesh KhuranaDepartment of Mathematics, Panjab University, ChandigarhVerified email at pu.ac.in
