Minimal prime ideals of skew Hurwitz series ring
Let R be a ring with an endomorphism α. In this paper we obtain necessary and sufficient conditions on R and α such that the skew Hurwitz series ring (HR, α) is a 2-primal ring. In particular, it is proved that, under suitable conditions, (HR,α) is 2-primal if and only if for every minimal prime ideal P∗ in (HR, α) there exists a minimal prime ideal P of R such that P is completely prime and P∗=(HP,α) if and only if P((HR,α))=(H(nil(R)),α) if and only if R is 2-primal and nil((HR,α))=(H(nil(R)),α) if and only if every minimal α-prime ideal of R is completely prime.
Copyright (c) 2021 K. Paykan
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.