Research
Dissertation - Generalized Factorization in Commutative Rings with Zero-Divisors (Full Thesis) (Abstract Only)
Published/Submitted Papers:
On magic type labelings of zero divisor graphs, with Jackson Feggestad, Jacob Halvorson, Noah Royce, and Nathaen Wanta, to appear, International Electronic Journal of Algebra (paper).
On cordial labelings of zero divisor graphs, with Will Canter, Nathan Dreher, and Gabe Trebelhorn, in review (paper).
Pseudo-Dedekind rings, semistar operations, and content formulas for power series, with Jason Juett, Communications in Algebra, 52:4, 1578-1603 (2024) (paper).
Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings. In: Chabert, JL., Fontana, M., Frisch, S., Glaz, S., Johnson, K. (eds) Algebraic, Number Theoretic, and Topological Aspects of Ring Theory . Springer, Cham. (Paper).
On Gracefully and Harmoniously Labeling Zero-Divisor Graphs. In: Badawi, A., Coykendall, J. (eds) Rings, Monoids and Module Theory. AUS-ICMS 2020. Springer Proceedings in Mathematics & Statistics, vol 382. Springer, Singapore.(Paper).
Unique factorization of ideals in commutative rings with zero divisors. J. Juett C.P. Mooney and L.W. Ndungu, Communications in Algebra 49, 2101–2125, 2021. (Paper)
Unique factorization properties in commutative monoid rings with zero divisors. Juett, J., Mooney, C.P. and Roberts, R., Semigroup Forum, Volume 102, pages 674–696, (2021). (Paper)
Notions of unique factorization in rings with zero divisors. Juett, J. and Mooney, C.P., Houston Journal of Mathematics, Vol. 47, No. 1, 2021, 1-29. (Paper)
Factorization of Ideals. Anderson, D.D., Juett, J., and Mooney, C.P., Communications in Algebra , 47 No. 4, 1742–1772, 2019. (Abstract) (DOI)
Generalized U-Irreducible Elements in Strongly Associate Rings. Mooney, Christopher Park and Wang, Ying, Minnesota Journal of Undergraduate Mathematics. (16 pages). (Abstract) (DOI)
U-Factorization of Ideals. Juett, J. and Mooney, C.P., Communications in Algebra 47, No. 2, 878–895, 2019. (Abstract) (DOI)
Module Cancellation Properties, Anderson, D.D., Juett, J. and Mooney, C. P., Journal of Algebra and Its Applications, 17:8, 1850156, 59 pp., 2018. (Abstract) (DOI)
Tau-Regular Factorization in Commutative Rings with Zero-Divisors. Mooney, Christopher Park, Rocky Mountain Journal of Mathematics, 46:4 (2016) 1309-1349. (Abstract) (DOI)
Tau-Complete Factorization in Commutative Rings. Mooney, Christopher Park, Houston Journal of Mathematics, Houston J. Math., 42:1 (2016) 23-44. (Abstract) (DOI)
Generalized Irreducible Divisor Graphs in Rings with Zero-Divisors. Mooney, Christopher Park, International Electronic Journal of Algebra, 20 (2016) 45-69. (Abstract)(DOI)
Generalized Factorization in Z/mZ. Mahlum, Austin and Mooney, Christopher Park, Involve, Vol. 9 (2016), No. 3, 379–393. (Abstract)(DOI)
Generalized Factorization in Commutative Rings with Zero-Divisors. Mooney, Christopher Park, Houston J. Math., 41:1 (2015) 15-32. (Abstract) (DOI)
Generalized U-factorization in Commutative Rings with Zero-Divisors. Mooney, Christopher Park, Rocky Mountain Journal of Mathematics, 45:2 (2015) 637-660. (Abstract) (DOI)
On Irreducible Divisor Graphs in Commutative Rings with Zero-Divisors, Mooney, Christopher Park, Tamkang Journal of Mathematics, 46:4 (2015) 365-388. (Abstract) (DOI)
Tau-U-Factorization and Their Graphs in Commutative Rings with Zero-Divisors. Axtell, M., and Mooney, C.P., International Electronic Journal of Algebra, 18, (2015) 72-91. (Abstract) (DOI)
Generalized Irreducible Divisor Graphs (in Integral Domains). Mooney, Christopher Park, Communications in Algebra, 42:10, (2014) 4366-4375. (Abstract) (DOI)
Generalized Factorization in Commutative Rings with Zero-Divisors. Mooney, Christopher Park, Ph.D. Thesis. The University of Iowa (2013). (125 pages) (Abstract) (Thesis)
Papers in Production:
Mixed invertibility and content formulas for polynomials, with Jason Juett, final revisions
On Edge Graceful Labeling Zero-Divisor Graphs. Mooney, Christopher Park, final revisions (22 pages). (Current Version)
On Prime and Vertex Prime Labeling Zero-Divisor Graphs, with N.B. Fox, in production, (19 pages).
On antimagic labeling of zero-divisor graphs, with S. Cornelius, J. Feggestad, C.P. Mooney, K. Nikolai, and N. Wanta, in production.
On Radio Labeling Zero-Divisor Graphs. Benson, K.F., Mooney, C. P., Niedzialomski, A., in production.
On Magic and Anti-magic Labeling Zero-Divisor Graphs. Mooney, Christopher Park, in production.
Tau-U Irreducible Factorizations and Graphs. Axtell, M. and Mooney, C.P., in production.
On Generalized Elasticity of Commutative Rings with Zero-Divisors. Mooney, Christopher Park, in production.
Undergraduate Research:
Generalized U-Finite Factorization Properties in Strongly Associate Rings. Mooney, Christopher Park and Wang, Ying, in production.
Generalized U-Irreducible Elements in Strongly Associate Rings. Mooney, Christopher Park and Wang, Ying, Minnesota Journal of Undergraduate Mathematics, to appear. (17 pages). (Abstract) (Paper)
Generalized Factorization in Z/mZ. Mahlum, Austin and Mooney, Christopher Park, Involve, Vol. 9 (2016), No. 3, 379–393. (Abstract)(DOI)
Determining Existence of Hadamard Difference Sets in Groups of Order 144. N Kroeger, M. Miller, C.P. Mooney, K. Shepard, and K. Smith, NSF-REU research report Central Michigan, (2007). (Abstract) (paper)
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