Publications

21. Alexander J. Diesl, Chan Yong Hong, Nam Kyun Kim, Yang Lee, and Pace P. Nielsen: Properties which do not pass to classical rings of quotients. J. Algebra 379:208-222, 2013. Preprint version: pdf. Published version: DOI.

20. Pace P. Nielsen: Bootstrapping the bounded nilradical. J. Pure Appl. Algebra 217(9):1711-1715, 2013. Preprint version: pdf. Published version: DOI.

19. Chan Yong Hong, Nam Kyun Kim, Yang Lee, and Pace P. Nielsen: On σ-nil ideals of bounded index of σ-nilpotence. J. Algebra 371:492-509, 2012. Preprint version: pdf. Published version: DOI.

18. S. Adam Fletcher, Pace P. Nielsen, and Pascal Ochem: Sieve methods for odd perfect numbers. Math. Comp. 81(279):1753-1776, 2012. Preprint version: pdf. Published version: DOI.

(Here are the data files demonstrating the results of the above paper: OPN chains)

17. David A. Cardon and Pace P. Nielsen: Nonnegative minors of minor matrices. Linear Algebra Appl. 436(7):2187-2200, 2012. Preprint version: pdf. Published version: DOI.

16. Victor Camillo, Thomas J. Dorsey, and Pace P. Nielsen: Dedekind-finite strongly clean rings. Comm. Alg. (accepted). Preprint version: pdf.

15. Victor Camillo and Pace P. Nielsen: On a theorem of Camps and Dicks. Advances in ring theory (Trends Math.), 83-84, Birkhauser/Springer Basel AG, Basel, 2010. Preprint version: pdf.

14. Victor Camillo, Chan Yong Hong, Nam Kyun Kim, Yang Lee, and Pace P. Nielsen: Nilpotent ideals in polynomial and power series rings. Proc. Amer. Math. Soc. 138(5):1607-1619, 2010. Preprint version: pdf, errata. Published version: DOI.

13. Pace P. Nielsen: Square-free modules with the exchange property. J. Algebra 323(7):1993-2001, 2010. Preprint version: pdf. Published version: DOI.

12. Chan Yong Hong, Nam Kyun Kim, Yang Lee, and Pace P. Nielsen: The minimal prime spectrum of rings with annihilator conditions. J. Pure Appl. Algebra 213(7):1478-1488, 2009. Preprint version: pdf. Published version: DOI.

11. Pace P. Nielsen: A covering system whose smallest modulus is 40. J. Number Theory 129:640-666, 2009. Preprint version: pdf. Published version: DOI.

10. Victor Camillo and Pace P. Nielsen: McCoy rings and zero-divisors. J. Pure Appl. Algebra 212(3):599-615, 2008. Preprint version: pdf. Published version: DOI.

9. Victor Camillo, Ivo Herzog, and Pace P. Nielsen: Non-self-injective injective hulls with compatible multiplication. J. Algebra 314(1):471-478, 2007. Preprint version: pdf. Published version: DOI.

8. Pace P. Nielsen: Odd perfect numbers have at least nine distinct prime factors. Math. Comp. 76(260):2109-2126, 2007. Preprint version: pdf. Published version: DOI.

(Here are compressed copies of the printouts demonstrating the results of the above paper: First Result and Second Result)

7. Pace P. Nielsen: Row and column finite matrices. Proc. Amer. Math. Soc. 135(9):2689-2697, 2007. Preprint version: pdf. Published version: DOI.

6. Pace P. Nielsen: Countable exchange and full exchange rings. Comm. Algebra 35(1):3-23, 2007. Preprint version: pdf. Published version available at http://journalsonline.tandf.co.uk

5. Pace P. Nielsen: The exchange property for modules and rings. Ph.D. thesis, University of California, Berkeley, May 2006. Published version: pdf, errata.

4. Pace P. Nielsen: Semi-commutativity and the McCoy condition. J. Algebra 298(1):134-141, 2006. Preprint version: pdf. Published version: DOI.

3. Pace P. Nielsen: Abelian exchange modules. Comm. Algebra 33(4):1107-1118, 2005. Preprint version: pdf. Published version: DOI.

2. Pace P. Nielsen: An upper bound for odd perfect numbers. Integers 3 (2003), A14, 9 pp. Preprint version: pdf. Published version: http://www.integers-ejcnt.org/vol3.html

1. David A. Cardon and Pace P. Nielsen: Convolution operators and entire functions with simple zeros. Number theory for the millennium, I (Urbana, IL, 2000), 153-181, A K Peters, Natick, MA, 2002. Preprint version: pdf