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

Publications 2018

[14] Jun Seok Oh, On the algebraic and arithmetic structure of the monoid of product-one sequences II, (2018). (to appear)
[bib] [arXiv]
[13] Jun Seok Oh, On the algebraic and arithmetic structure of the monoid of product-one sequences, Journal of Commutative Algebra, (2018). (to appear)
[bib] [arXiv]

Publications 2016

[12] Scott T. Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding, Multiplicative Ideal Theory and Factorization Theory, Springer Proceedings in Mathematics &\ Statistics, 170, (2016).
[bib] [doi/article]

Publications 2015

[11] Nicholas R. Baeth, Daniel Smertnig, Factorization theory: from commutative to noncommutative settings, J. Algebra, 441, 475-551, (2015).
[bib] [arXiv] [MR] [doi/article]
[10] Nicholas R. Baeth, Alfred Geroldinger, David Grynkiewicz, Daniel Smertnig, A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems, J. Algebra Appl., 14(2), 1550016, 60 pp., (2015).
[bib] [arXiv] [MR] [doi/article]

Publications 2014

[9] Daniel Smertnig, Factorization theory in maximal orders, PhD thesis, KFU Graz, (2014).
[bib] [doi/article]
[8] Alberto Facchini, Nguyen Khanh Tung, 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).
[bib] [arXiv] [MR] [doi/article]
[7] Karin Baur, Aslak Bakke Buan, Robert J. Marsh, Torsion pairs and rigid objects in tubes, Algebr. Represent. Theory, 17(2), 565-591, (2014).
[bib] [arXiv] [MR] [doi/article]

Publications 2013

[6] Daniel Smertnig, A note on cancellation in totally definite quaternion algebras, J. Reine Angew. Math., 707, 209-216, (2013).
[bib] [MR] [doi/article]
[5] Daniel Smertnig, Sets of lengths in maximal orders in central simple algebras, J. Algebra, 390, 1-43, (2013).
[bib] [arXiv] [MR] [doi/article]
[4] Alfred Geroldinger, Pingzhi Yuan, The monotone catenary degree of Krull monoids, Results Math., 63(3-4), 999-1031, (2013).
[bib] [MR] [doi/article]
[3] Gyu Whan Chang, Daniel Smertnig, Factorization in the self-idealization of a PID, Boll. Unione Mat. Ital. (9), 6(2), 363-377, (2013).
[bib] [arXiv] [MR]

Publications 2012

[2] Alfred Geroldinger, Pingzhi Yuan, The set of distances in Krull monoids, Bull. Lond. Math. Soc., 44(6), 1203-1208, (2012).
[bib] [MR] [doi/article]

Publications 2010

[1] Daniel Smertnig, On the Davenport constant and group algebras, Colloq. Math., 121(2), 179-193, (2010).
[bib] [arXiv] [MR] [doi/article]