Some properties of *-weak rings with involution.
DOI:
https://doi.org/10.54172/v8ree613Keywords:
*-weak *-IFP, *-weak quasi *-IFP, *-weak *-reversible *-ringsAbstract
Throughout this paper, we introduced the concept of *-weak (*-IFP, quasi-*-IFP, and *-reversible) *-rings also study properties and the basic structure of *-weak *-rings, giving some of the results. Moreover, we will clarify the conditions for the *-weak *rings to extend into subrings with the involution of the ring, at the upper triangular matrices , with the same diagonal).
References
Aburawash, M. S. and U. A. (2023). IFP for rings with involution. Mathematica Pannonica New Series, 1, 172–137.
Aburawash, U. A. (1997). On Embedding of Involution Rings. Mathematica Pannonica, 8(2), 245–250.
Aburawash, U. A., & Abdulhafed, M. E. (2018a). On reflexive rings with involution. International Journal of Algebra, 12(3), 115–132. https://doi.org/10.12988/ija.2018.8412
Aburawash, U. A., & Abdulhafed, M. E. (2018b). On reversibility of rings with involution. East-West J. of Mathematics, 20(1), 19–36. https://doi.org/10.2140/pjm.1975.60.131
Aburawash, U. A., & Saad, M. (2014). On Biregular , IFP and Quasi-Baer *-Rings. East-West J. of Mathematics Mathematics, 16(2), 182–192.
Aburawash, U. A., & Saad, M. (2016). *-Baer property for rings with involution. Studia Scientiarum Mathematicarum Hungarica, 53(2), 243–255. https://doi.org/10.1556/012.2016.53.2.1338
Aburawash, U. A., & Saad, M. (2019). Reversible and reflexive properties for rings with involution. Miskolc Mathematical Notes, 20(2), 635–650. https://doi.org/10.18514/MMN.2019.2676
I. Kaplansky. (1968). Rings of Operators. Benjamin, New York.
Kim, N. K., & Lee, Y. (2003). Extensions of reversible rings. Journal of Pure and Applied Algebra, 185(1–3), 207–223. https://doi.org/10.1016/S0022-4049(03)00109-9
Martindale, W. S., & 3rd. (1969). Rings with involution and polynomial identities. Journal, of Algebra, 11, 186–194.
Usama A. Aburawash and Khadija B. Sola. (2010). *-zero divisors and *-prime ideals. East-West J. of Mathematics, 12, 27–31.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Muna E. Abdulhafed, Aafaf E. Abduelhafid (Author)
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright of the articles Published by Al-Mukhtar Journal of Basic Sciences (MJBS) is retained by the author(s), who grant MJBS a license to publish the article. Authors also grant any third party the right to use the article freely as long as its integrity is maintained and its original authors and cite MJSc as the original publisher. Also, they accept the article remains published by the MJBS website (except in the occasion of a retraction of the article).
How to Cite
