Morita equivalence of finitely presented algebras
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- by Adel Alahmadi and Hamed Alsulami PDF
- Proc. Amer. Math. Soc. 148 (2020), 4577-4579 Request permission
Abstract:
We prove that if two algebras are Morita equivalent and one of these algebras is finitely presented, then the other one is finitely presented as well.References
- Adel Alahmadi and Hamed Alsulami, On finitely presented algebras, J. Algebra Appl. 15 (2016), no. 8, 1650153, 3. MR 3528775, DOI 10.1142/S021949881650153X
- T. Y. Lam, Lectures on modules and rings, Graduate Texts in Mathematics, vol. 189, Springer-Verlag, New York, 1999. MR 1653294, DOI 10.1007/978-1-4612-0525-8
- S. Montgomery and L. W. Small, Some remarks on affine rings, Proc. Amer. Math. Soc. 98 (1986), no. 4, 537–544. MR 861745, DOI 10.1090/S0002-9939-1986-0861745-5
Additional Information
- Adel Alahmadi
- Affiliation: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia; and Research Group of Algebraic Structures and Applications, Deanship of Scientific Research, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
- MR Author ID: 771392
- ORCID: 0000-0002-7758-3537
- Email: analahmadi@kau.edu.sa
- Hamed Alsulami
- Affiliation: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
- Email: hhaalsalmi@kau.edu.sa
- Received by editor(s): March 29, 2017
- Published electronically: July 30, 2020
- Additional Notes: This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University. The authors, therefore, acknowledge the technical and financial support of KAU.
- Communicated by: Kailash C. Misra
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 4577-4579
- MSC (2010): Primary 16G99
- DOI: https://doi.org/10.1090/proc/13761
- MathSciNet review: 4143377