### 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] | On the algebraic and arithmetic structure of the monoid of product-one sequences II, (2018). (to appear)
[bib] [arXiv] | ,

[13] | 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] | Multiplicative Ideal Theory and Factorization Theory, Springer Proceedings in Mathematics &\ Statistics, 170, (2016).
[bib] [doi/article] | ,

#### Publications 2015

[11] | Factorization theory: from commutative to noncommutative settings, J. Algebra, 441, 475-551, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[10] | 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] | Factorization theory in maximal orders, PhD thesis, KFU Graz, (2014).
[bib] [doi/article] | ,

[8] | 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] | Torsion pairs and rigid objects in tubes, Algebr. Represent. Theory, 17(2), 565-591, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

#### Publications 2013

[6] | A note on cancellation in totally definite quaternion algebras, J. Reine Angew. Math., 707, 209-216, (2013).
[bib] [MR] [doi/article] | ,

[5] | Sets of lengths in maximal orders in central simple algebras, J. Algebra, 390, 1-43, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[4] | The monotone catenary degree of Krull monoids, Results Math., 63(3-4), 999-1031, (2013).
[bib] [MR] [doi/article] | ,

[3] | Factorization in the self-idealization of a PID, Boll. Unione Mat. Ital. (9), 6(2), 363-377, (2013).
[bib] [arXiv] [MR] | ,

#### Publications 2012

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

#### Publications 2010

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