Bibliographic Details
| Title: |
On inverse skew Laurent series extensions of weakly rigid rings. |
| Authors: |
Habibi, Mohammad |
| Superior Title: |
Communications in Algebra; 2017, Vol. 45 Issue 1, p151-161, 11p |
| Subject Terms: |
LAURENT series, RING extensions (Algebra), AUTOMORPHISMS, COMMUTATIVE rings, ASSOCIATIVE rings |
| Abstract: |
LetRbe a ring equipped with an automorphism α and an α-derivation δ. We studied on the relationship between the quasi Baerness and (α, δ)-quasi Baerness of a ringRand these of the inverse skew Laurent series ringR((x−1; α, δ)), in caseRis an (α, δ)-weakly rigid ring. Also we proved that for a semicommutative (α, δ)-weakly rigid ringR,Ris Baer if and only if so isR((x−1; α, δ)). Moreover for an (α, δ)-weakly rigid ringR, it is shown that the inverse skew Laurent series ringR((x−1; α, δ)) is left p.q.-Baer if and only ifRis left p.q.-Baer and every countable subset of left semicentral idempotents ofRhas a generalized countable join inR. [ABSTRACT FROM AUTHOR] |
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| Database: |
Complementary Index |
