Advanced search
Publication Cover
Communications in Algebra Volume 48, 2020 - Issue 2
Submit an article Journal homepage
625
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Cell structure of bimodules over radical square zero Nakayama algebras

Helena JonssonDepartment of Mathematics, Uppsala University, Uppsala, SwedenCorrespondence[email protected]
View further author information
Pages 573-588 | Received 22 Oct 2018, Accepted 13 Dec 2018, Published online: 04 Sep 2019

References

  • Butler, M. C. R., Ringel, C. M. (1987). Auslander-Reiten sequences with few middle terms and applications to string algebras. Comm. Algebra 15(1-2):145–179. DOI: 10.1080/00927878708823416.
  • Darpö, E., Herschend, M. (2010). On the representation ring of the polynomial algebra over a perfect field. Math. Z. 265(3):601–615. DOI: 10.1007/s00209-009-0532-9.
  • Forsberg, L. Sub-bimodules of the identity bimodule for cyclic quivers. Preprint arXiv:1702.04583.
  • Ganyushkin, O., Mazorchuk, V. (2009). Classical Finite Transformation Semigroups. An Introduction. Series: Algebra and Applications, Vol. 9. London: Springer.
  • Green, J. A. (1951). On the structure of semigroups. Ann. Math. 2(54):163–172. DOI: 10.2307/1969317.
  • Grensing, A.-L., Mazorchuk, V. (2014). Categorification of the Catalan monoid. Semigroup Forum. 89(1):155–168. DOI: 10.1007/s00233-013-9510-y.
  • Grensing, A.-L., Mazorchuk, V. (2017). Categorification using dual projection functors. Commun. Contemp. Math. 19(03):1650016–1650040. DOI: 10.1142/S0219199716500164.
  • Jonsson, H. (2017). Bimodules over dual numbers. Master Thesis. Uppsala: Uppsala University.
  • Kudryavtseva, G., Mazorchuk, V. (2015). On multisemigroups. Port. Math. 72(1):47–80. DOI: 10.4171/PM/1956.
  • Mazorchuk, V. (2010). Lectures on sl2(C)-Modules. London: Imperial College Press.
  • Mazorchuk, V., Miemietz, V. (2011). Cell 2-representations of finitary 2-categories. Compositio Math. 147(5):1519–1545. DOI: 10.1112/S0010437X11005586.
  • Mazorchuk, V., Miemietz, V. (2014). Additive versus abelian 2-representations of fiat 2-categories. Moscow Math. J. 14(3):595–615. DOI: 10.17323/1609-4514-2014-14-3-595-615.
  • Mazorchuk, V., Miemietz, V., Zhang, X. Characterisation and applications of k-split bimodules. Preprint arXiv:1701.03025.
  • Mazorchuk, V., Zhang, X. Bimodules over uniformly oriented An-quivers with radical square zero. Kyoto J. Math. Preprint arXiv:1703.08377.
  • Nakayama, T. (1940). Note on uni-serial and generalized uni-serial rings. Proc. Imp. Acad. 16(7):285–289. DOI: 10.3792/pia/1195579089.
  • Riedtmann, C. (1980). Algebren, Darstellungskcher, Überlagerungen und zurück. Comment. Math. Helv. 55(1):199–224. DOI: 10.1007/BF02566682.
  • Wald, B., Waschbusch, J. (1985). Tame biserial algebras. J. Algebra 95(2):480–500. DOI: 10.1016/0021-8693(85)90119-X.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.