Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Project 3:
Additive theory, zero-sum theory and non-unique factorizations

2010
[22]Daniel Smertnig, On the Davenport constant and group algebras, Colloq. Math., 121(2), 179-193, (2010). [bibtex] [doi]
2012
[21]Alfred Geroldinger and Pingzhi Yuan, The set of distances in Krull monoids, Bull. Lond. Math. Soc., 44(6), 1203-1208, (2012). [bibtex] [doi]
2013
[20]Gyu Whan Chang and Daniel Smertnig, Factorization in the self-idealization of a PID, Boll. Unione Mat. Ital. (9), 6(2), 363-377, (2013). [bibtex]
[19]Alfred Geroldinger and Pingzhi Yuan, The monotone catenary degree of Krull monoids, Results Math., 63(3-4), 999-1031, (2013). [bibtex] [pdf] [doi]
[18]Daniel Smertnig, Sets of lengths in maximal orders in central simple algebras, J. Algebra, 390, 1-43, (2013). [bibtex] [doi]
[17]Daniel Smertnig, A note on cancellation in totally definite quaternion algebras, J. Reine Angew. Math., 707, 209-216, (2013). [bibtex] [pdf] [doi]
2014
[16]Alberto Facchini, Nguyen Khanh Tung and Daniel Smertnig, Cyclically presented modules, projective covers and factorizations, Chapter in Ring theory and its applications (Dinh Van Huynh, others, eds.), Amer. Math. Soc., Providence, RI, 609, 89-106, (2014). [bibtex] [doi]
[15]Daniel Smertnig, Factorization theory in maximal orders, PhD thesis, KFU Graz, (2014). [bibtex] [url]
2015
[14]Nicholas R. Baeth, Alfred Geroldinger, David Grynkiewicz and Daniel Smertnig, A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems, J. Algebra Appl., 14(2), 1550016, 60 pp., (2015). [bibtex] [doi]
[13]Nicholas R. Baeth and Daniel Smertnig, Factorization theory: from commutative to noncommutative settings, J. Algebra, 441, 475-551, (2015). [bibtex] [doi]
2016
[12]Scott T. Chapman, Marco Fontana, Alfred Geroldinger and Bruce Olberding, Multiplicative Ideal Theory and Factorization Theory, Springer Proceedings in Mathematics &\ Statistics, 170, (2016). [bibtex] [doi]
2019
[11]Oh, Jun Seok, On the algebraic and arithmetic structure of the monoid of product-one sequences II, Period. Math. Hung., 78, 203 – 230, (2019). [bibtex] [doi]
[10]Oh, Jun Seok and Zhong, Qinghai, On minimal product-one sequences of maximal length over Dihedral and Dicyclic groups, Commun. Korean Math. Soc., 35(1), 83–116, (2019). [bibtex] [doi]
[9]Jun Seok Oh, Product-one Sequences over Finite Groups: Algebraic, Arithmetic, and Combinatorial Aspects, PhD thesis, KFU Graz, (2019). [bibtex] [url]
2020
[8]A. Geroldinger, D.J. Grynkiewicz, Jun Seok Oh and Q. Zhong, On product-one sequences over dihedral groups, (2020). (preprint) [bibtex]
[7]J.S. Oh, On the algebraic and arithmetic structure of the monoid of product-one sequences, J. Commut. Algebra, 12, 409 – 433, (2020). [bibtex] [doi]
[6]A. Bashir, A. Geroldinger and A. Reinhart, On the arithmetic of stable domains, (2020). (preprint) [bibtex] [url]
[5]A. Bashir, A. Geroldinger and Q. Zhong, On a zero-sum problem arising from factorization theor, In Combinatorial and Additive Number Theory (M. Nathanson, ed.), Springer, (2020). [bibtex] [url]
[4]V. Fadinger and D.Windisch, A characterization of weakly Krull monoid algebras, (2020). (preprint) [bibtex]
[3]A. Facchini, M. Fontana, A. Geroldinger and B. Olberding, Advances in Rings, Modules, and Factorizations, In Springer Proceedings in mathematics & Statistics, 321, (2020). [bibtex] [url]
[2]A. Geroldinger and Q. Zhong, Factorization Theory in Commutative Monoids, Semigroup Forum, 100, 22 – 51, (2020). [bibtex] [doi]
[1]J.S. Oh and Q. Zhong, On Erd\Hos-Ginzburg-Ziv inverse theorems for dihedral and dicyclic groups, Israel J. Math., 238, 715 – 743, (2020). [bibtex] [doi]