Skew Hurwitz series over quasi Baer and PS-rings
AbstractIn this paper, we consider some properties of rings which are shared by the ring R and the ring T = (HR, σ ) of skew Hurwitz series. In particular we show that:
1) If R is a ring with char(R) = 0 and σ is an R -automorphism such that σ (e) = e and the left annihilator of every left ideal is σ -invariant, then the following are equivalent:
i) T is a quasi Baer ring.
ii) R is a quasi Baer ring.
2) If R is a right PS-ring with char(R) = 0, then T is a right PS-ring.
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.