Advanced search
Publication Cover
Communications in Algebra Volume 51, 2023 - Issue 5
Submit an article Journal homepage
135
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

On prime and radical subacts of acts over semigroups

Mohammad Ali NaghipoorDepartment of Mathematics, Faculty of Science, Jahrom University, Jahrom, IranCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-2453-9604
ORCID Icon
Pages 1779-1799 | Received 29 Apr 2022, Accepted 25 Oct 2022, Published online: 15 Nov 2022

References

  • Ahsan, J., Zhongkui L. (2001). Prime and semiprime acts over monoids with zero. Math. J. Ibaraki Univ. 33:9–15. DOI: 10.5036/mjiu.33.9.
  • Clifford, A. H., Preston, G. B. (1961). The algebraic theory of semigroups. Vols. 1,2, Math. Surveys, No. 7. Providence, RI: American Mathematical Society.
  • Dauns, J. (1978). Prime modules. J. Reine Agnew. Math. 298:156–181.
  • Dikranjan, D., Tholen, W. (1995). Categorical Structure Of Closure Operators, Dordrecht: Kluwer Academic Publishers.
  • Estaji, A. A., Tajnia, S. (2011). Prime subacts over commutative monoids with zero. Lobachevski J. Math. 32(4):358–365.
  • Hochster, M. (1969). Prime ideal structure in commutative rings. Trans. Am. Math. Soc. 142:43–60. DOI: 10.1090/S0002-9947-1969-0251026-X.
  • Keimel, K. (1971). The representation of lattice ordered groups and rings by sections in sheafs. In: Lectures on the Applications of Sheaves to Ring Theory, Lecture Notes in Mathematics, Vol. 248. Berlin: Springer Verlag, pp. 2–96.
  • Kilp, M., Knauer, U., Mikhalev, A. V. (2000). Monoids, Acts and Categories. Berlin, New York: Walter de Gruyter.
  • Lambek, J. (1971). On representation of modules by sheaves of factor modules. Can. Math. Bull. 14:359–368. DOI: 10.4153/CMB-1971-065-1.
  • Luo, C. (2012). S-Lattice congruences of S-lattices. Algebra Colloq. 19(3):465–472. DOI: 10.1142/S1005386712000326.
  • McCasland, R. L., Moore, M. E., Smith P. F. (1998). An introduction to Zariski spaces over Zariski topologies. Rocky. Mtn. J. Math. 29:1467–1482.
  • McCasland, R. L., Smith P. F. (2006). Zariski spaces of modules over arbitrary rings. Commun. Algebra 34:3961–3973. DOI: 10.1080/00927870600875880.
  • Mulvey, C. J. (1979). Representation of rings and modules. In: Fourman, M., Mulvey, C., Scott, D., eds. Applications of Sheaves. Lecture Notes in Mathematics, Vol. 753. Berlin: Springer Verlag, pp. 542–585.
  • Naghipoor, M. A., Ershad, M. (2016). Retractable and coretractable acts over semigroups. Southeast Asian Bull. Math. 40:887–903.
  • Pirashvili, I. (2013). On the spectrum of monoids and semilattices. J. Pure Appl. Algebra. 217(5):901–906.
  • Shabir, M., Shaheen, S. (2017). On prime and semiprime generalized hyperaction of hypermonoid. Math. Slovaca. 67(3):657–670. DOI: 10.1515/ms-2016-0299.
  • Wu, H., Li, Q. (2020). On the spectra of commutative semigroups. Semigroup Forum. 101:465–485. DOI: 10.1007/s00233-020-10119-0.

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.