Research Article

Amalgamated Rings with n-UJ-Properties

Volume: 9 Number: 2 June 30, 2022
EN

Amalgamated Rings with n-UJ-Properties

Abstract

This paper examines the transfer of n­UJ-rings between A and B in an amalgamated duplication of a ring A along some ideal K of a ring B with a ring homomorphism f:A→B (denoted by A⋈^f K).

Keywords

References

  1. Anderson, D. D., Bennis, D., Fahid, B., & Shaiea, A. (2017). On n-trivial extension of rings. Rocky Mountain J. Math., 47(8), 2439-2511. doi:10.1216/RMJ-2017-47-8-2439
  2. Calugareanu, G. (2015). UU rings. Carpathian J. Math., 31(2), 157-163. doi:10.37193/CJM.2015.02.02
  3. Chen, H. (2010). On strongly J-clean rings. Communications in Algebra, 38(10), 3790-3804. doi:10.1080/00927870903286835
  4. D’Anna, M., Finocchiaro, C. A., & Fontana, M. (2009). Amalgamated algebras along an ideal. In: M. Fontana, S-E. Kabbaj, B. Olberding & I. Swanson (Eds.), Commutative Algebra and Its Applications, Proceedings of the Fifth International Fez Conference on Commutative Algebra and Applications, Morocco, June 23-28, 2008, (pp. 155-172), De Gruyter, Berlin. doi:10.1515/9783110213188.155
  5. Diesl, A. J. (2013). Nil clean rings. Journal of Algebra, 383, 197-211. doi:10.1016/j.jalgebra.2013.02.020
  6. Farshad, N., SafariSabet, S. A., & Moussavi, A. (2021). Amalgamated rings with clean-type properties. Hacettepe J. Mathematics and Statistics, 50(5), 1358-1370. doi:10.15672/hujms.676342
  7. Koşan, M. T., Leroy, A., & Matczuk, J. (2018). On UJ-rings. Communications in Algebra, 46(5), 2297-2303. doi:10.1080/00927872.2017.1388814
  8. Koşan, M. T., Quynh, T. C., & Yildirim, T. (2020). Rings such that, for each unit u,u-u^n belongs to the Jacobson radical. Hacettepe J. Mathematics and Statistics, 49(4), 1397-1404. doi:10.15672/hujms.542574

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 30, 2022

Submission Date

April 20, 2022

Acceptance Date

June 24, 2022

Published in Issue

Year 2022 Volume: 9 Number: 2

APA
Memişoğullarından, E., & Özdin, T. (2022). Amalgamated Rings with n-UJ-Properties. Gazi University Journal of Science Part A: Engineering and Innovation, 9(2), 112-119. https://doi.org/10.54287/gujsa.1106287
AMA
1.Memişoğullarından E, Özdin T. Amalgamated Rings with n-UJ-Properties. GU J Sci, Part A. 2022;9(2):112-119. doi:10.54287/gujsa.1106287
Chicago
Memişoğullarından, Esra, and Tufan Özdin. 2022. “Amalgamated Rings With N-UJ-Properties”. Gazi University Journal of Science Part A: Engineering and Innovation 9 (2): 112-19. https://doi.org/10.54287/gujsa.1106287.
EndNote
Memişoğullarından E, Özdin T (June 1, 2022) Amalgamated Rings with n-UJ-Properties. Gazi University Journal of Science Part A: Engineering and Innovation 9 2 112–119.
IEEE
[1]E. Memişoğullarından and T. Özdin, “Amalgamated Rings with n-UJ-Properties”, GU J Sci, Part A, vol. 9, no. 2, pp. 112–119, June 2022, doi: 10.54287/gujsa.1106287.
ISNAD
Memişoğullarından, Esra - Özdin, Tufan. “Amalgamated Rings With N-UJ-Properties”. Gazi University Journal of Science Part A: Engineering and Innovation 9/2 (June 1, 2022): 112-119. https://doi.org/10.54287/gujsa.1106287.
JAMA
1.Memişoğullarından E, Özdin T. Amalgamated Rings with n-UJ-Properties. GU J Sci, Part A. 2022;9:112–119.
MLA
Memişoğullarından, Esra, and Tufan Özdin. “Amalgamated Rings With N-UJ-Properties”. Gazi University Journal of Science Part A: Engineering and Innovation, vol. 9, no. 2, June 2022, pp. 112-9, doi:10.54287/gujsa.1106287.
Vancouver
1.Esra Memişoğullarından, Tufan Özdin. Amalgamated Rings with n-UJ-Properties. GU J Sci, Part A. 2022 Jun. 1;9(2):112-9. doi:10.54287/gujsa.1106287