% This is our bibliography file for FPSAC abstract.

@article{asai2025brick,
  title={Brick-splitting Torsion Pairs and Trim Lattices},
  author={Asai, Sota and Iyama, Osamu and Mousavand, Kaveh and Paquette, Charles},
  journal={arXiv preprint arXiv:2506.13602},
  year={2025}
}

@book{assem2006elements,
  title={Elements of the representation theory of associative algebras: Techniques of representation theory},
  author={Assem, Ibrahim and Simson, Daniel and Skowro{\'n}ski, Andrzej},
  year={2006},
  publisher={Cambridge University Press}
}

@article{barnard2019minimal,
  title={Minimal inclusions of torsion classes},
  author={Barnard, Emily and Carroll, Andrew and Zhu, Shijie},
  journal={Algebraic Combinatorics},
  volume={2},
  number={5},
  pages={879--901},
  year={2019}
}

@article{blass1997mobius,
  title={M{\"o}bius functions of lattices},
  author={Blass, Andreas and Sagan, Bruce E},
  journal={Advances in Mathematics},
  volume={127},
  number={1},
  pages={94--123},
  year={1997},
  publisher={Elsevier}
}

@book{davey2002introduction,
  title={Introduction to lattices and order},
  author={Davey, Brian A and Priestley, Hilary A},
  year={2002},
  publisher={Cambridge university press}
}

@article{defant2025rowmotion,
  title={Rowmotion and Echelonmotion},
  author={Defant, Colin and Jiang, Yuhan and Marczinzik, Rene and Segovia, Adrien and Speyer, David E and Thomas, Hugh and Williams, Nathan},
  journal={arXiv preprint arXiv:2507.18230},
  year={2025}
}


@article{demonet2023lattice,
  title={Lattice theory of torsion classes: beyond $\tau$-tilting theory},
  author={Demonet, Laurent and Iyama, Osamu and Reading, Nathan and Reiten, Idun and Thomas, Hugh},
  journal={Transactions of the American Mathematical Society, Series B},
  volume={10},
  number={18},
  pages={542--612},
  year={2023}
}

@article{garver2019lattice,
  title={Lattice properties of oriented exchange graphs and torsion classes},
  author={Garver, Alexander and McConville, Thomas},
  journal={Algebras and Representation Theory},
  volume={22},
  number={1},
  pages={43--78},
  year={2019},
  publisher={Springer}
}

@book{gratzer2009lattice,
  title={Lattice theory: First concepts and distributive lattices},
  author={Gratzer, George},
  year={2009},
  publisher={Courier Corporation}
}

@article{liu2000left,
  title={Left-modular elements of lattices},
  author={Liu, Shu-Chung and Sagan, Bruce E},
  journal={Journal of Combinatorial Theory, Series A},
  volume={91},
  number={1-2},
  pages={369--385},
  year={2000},
  publisher={Elsevier}
}

@article{markowsky1992primes,
  title={Primes, irreducibles and extremal lattices},
  author={Markowsky, George},
  journal={Order},
  volume={9},
  number={3},
  pages={265--290},
  year={1992},
  publisher={Springer}
}

@article{muhle2023extremality,
  title={Extremality, left-modularity and semidistributivity},
  author={M{\"u}hle, Henri},
  journal={Algebra universalis},
  volume={84},
  number={2},
  pages={16},
  year={2023},
  publisher={Springer}
}

@article{reading2021fundamental,
  title={The fundamental theorem of finite semidistributive lattices},
  author={Reading, Nathan and Speyer, David E and Thomas, Hugh},
  journal={Selecta Mathematica},
  volume={27},
  number={4},
  pages={59},
  year={2021},
  publisher={Springer}
}

@article{thomas2006analogue,
  title={An analogue of distributivity for ungraded lattices},
  author={Thomas, Hugh},
  journal={Order},
  volume={23},
  number={2},
  pages={249--269},
  year={2006},
  publisher={Springer}
}

@article{thomas2019rowmotion,
  title={Rowmotion in slow motion},
  author={Thomas, Hugh and Williams, Nathan},
  journal={Proceedings of the London Mathematical Society},
  volume={119},
  number={5},
  pages={1149--1178},
  year={2019},
  publisher={Wiley Online Library}
}