Advanced search
Publication Cover
Communications in Algebra Volume 51, 2023 - Issue 12
Submit an article Journal homepage
97
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Distributivity in congruence lattices of graph inverse semigroups

Yongle Luoa School of Mathematical Sciences, Nanjing Normal University, Nanjing, China;b School of Mathematics and Statistics, Southwest University, Chongqing, ChinaView further author information
,
Zhengpan Wangb School of Mathematics and Statistics, Southwest University, Chongqing, ChinaView further author information
&
Jiaqun Weia School of Mathematical Sciences, Nanjing Normal University, Nanjing, ChinaCorrespondence[email protected]
View further author information
Pages 5046-5053 | Received 29 Oct 2022, Accepted 07 Jun 2023, Published online: 23 Jun 2023

References

  • Abrams, G., Pino, G. A. (2005). The Leavitt path algebra of a graph. J. Algebra 293(2):319–334. DOI: 10.1016/j.jalgebra.2005.07.028.
  • Anagnostopoulou-Merkouri, M., Mesyan, Z., Mitchell, J. D. (2022). Properties of congruence lattices of graph inverse semigroups. arXiv: DOI: 10.48550/arXiv.2108.08277.
  • Ash, C. J., Hall, T. E. (1975). Inverse semigroups on graphs. Semigroup Forum 11(1):140–145. DOI: 10.1007/BF02195262.
  • Grätzer, G. (2011). Lattice Theory: Foundation. Basel: Springer, Birkhäuser. DOI: 10.1007/978-3-0348-0018-1.
  • Jones, P. R. (1983). On congruence lattices of regular semigroups. J. Algebra 82(1):18–39. DOI: 10.1016/0021-8693(83)90171-0.
  • Kumjian, A., Pask, D., Raeburn, I. (1998). Cuntz-Krieger algebras of directed graphs. Pac. J. Math. 184(1):161–174. DOI: 10.2140/pjm.1998.184.161.
  • Luo, Y., Wang, Z. (2021). Semimodularity in congruence lattice of graph inverse semigroups. Commun. Algebra 49(6):2623–2632. DOI: 10.1080/00927872.2021.1879826.
  • Meakin, J., Milan, D., Wang, Z. (2021). On a class of inverse semigroups related to Leavitt path algebras. Adv. Math 384:107729. DOI: 10.1016/j.aim.2021.107729.
  • Mesyan, Z., Mitchell, J. D. (2016). The structure of a graph inverse semigroup. Semigroup Forum 93(1):111–130. DOI: 10.1007/s00233-016-9793-x.
  • Paterson, A. L. T. (2002). Graph inverse semigroups, groupoids and their C ∗-Algebras. J. Oper. Theory 48(3):645–662.
  • Wang, Z. (2019). Congruences on graph inverse semigroups. J. Algebra 534:51–64. DOI: 10.1016/j.jalgebra.2019.06.020.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

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.