Title: Modules, Monoids, and Factorizations
Participants:
Alfred Geroldinger (PI, 1.10.2023 - ...)
Zahra Nazemian (Post doc, 1.6.2023 - ... )
Andreas Reinhart (Senior Post doc, 1.8.2024 - ...)
Daniel Smertnig (PI, 1.6.2023 - 30.9. 2023)
Publications Funded by this poroject:
1) Andreas Reinhart, Gulsen Ulucak: Multiplicative Lattices with Absorbing Factorization, 2024 (PDF)
https://arxiv.org/abs/2408.01100
2) Zahra Nazemian: Realization of monoids with countable sum, 2024, (PDF)
https://arxiv.org/abs/2404.15769
3) Zahra Nazemian and Daniel Smertnig: A monoid-theoretical approach to infinite direct sum decompositions of modules, 2024, (PDF)
https://arxiv.org/pdf/2401.08203.pdf
4) Mara Pompili: On class groups of upper cluster algebras, 2023. (PDF)
https://arxiv.org/pdf/2312.03457.pdf
5) Jason Bell, Daniel Smertnig and Hellis Tamm: Duality of lattices associated to left and right quotients, 2023.
Proceedings of the 16th International Conference on Automata and Formal Languages, AFL 2023, Eger, Hungary, September 5-7, 2023, EPTCS, vol. 386, 2023, pp. 35–50.
https://arxiv.org/abs/2306.02491v2
6) Primes and absolutely or non-absolutely irreducible elements in atomic domains (V. Fadinger, S. Frisch, S. Nakato,
D. Smertnig, D. Windisch),http://arxiv.org/abs/2411.01051, Preprint
7) Monoid Algebras and Graph Products (W. Imrich, I. Klep, D. Smertnig), https://arxiv.org/pdf/2407.02615,
to appear in The Art of Discrete and Applied Mathematics.
8) Ideal Theory of Commutative Rings and Monoids, Franz Halter-Koch, Alfred Geroldinger, and Andreas Reinhart,
Springer Lecture Notes in Mathematics, Mathematics, vol. 2368, (2025)
https://link.springer.com/book/9783031888779
9) Relative Cancellation, with H. Huang, Y. Wang, and J . J. Zhang, 2025, https://arxiv.org/pdf/2503.10083
10) Aut-stable subspaces of Grassmann algebras, with M. K. Demir, 2025, (PDF)