Ore extensions of zip and reversible rings

Muhiddin Başer

doi:10.1501/Commua1_0000000311

EN

Ore extensions of zip and reversible rings

Abstract

We investigate Ore extensions zip and reversible rings. Let a be an endomorphism and 5 an a-derivation of a ring R. Assume that R is an a-rigid ring. Then (1) R is a right zip ring if and only if the Ore extension R[x;a, <5) is a right zip ring. (2) R is a reversible ring if and only if the Ore extension R[a:; a, 5] is a reversible ring.

Keywords

References

Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Muhiddin Başer This is me
Türkiye

Publication Date

January 1, 2006

Submission Date

January 1, 2006

Acceptance Date

-

Published in Issue

Year 2006 Volume: 55 Number: 01

DOI

https://doi.org/10.1501/Commua1_0000000311

IZ

https://izlik.org/JA94EU56HZ

Cite

RIS / Bibtex

APA

Başer, M. (2006). Ore extensions of zip and reversible rings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 55(01). https://doi.org/10.1501/Commua1_0000000311

AMA

1.Başer M. Ore extensions of zip and reversible rings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2006;55(01). doi:10.1501/Commua1_0000000311

Chicago

Başer, Muhiddin. 2006. “Ore Extensions of Zip and Reversible Rings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 55 (01). https://doi.org/10.1501/Commua1_0000000311.

EndNote

Başer M (January 1, 2006) Ore extensions of zip and reversible rings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 55 01

IEEE

[1]M. Başer, “Ore extensions of zip and reversible rings”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 55, no. 01, Jan. 2006, doi: 10.1501/Commua1_0000000311.

ISNAD

Başer, Muhiddin. “Ore Extensions of Zip and Reversible Rings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 55/01 (January 1, 2006). https://doi.org/10.1501/Commua1_0000000311.

JAMA

1.Başer M. Ore extensions of zip and reversible rings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2006;55. doi:10.1501/Commua1_0000000311.

MLA

Başer, Muhiddin. “Ore Extensions of Zip and Reversible Rings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 55, no. 01, Jan. 2006, doi:10.1501/Commua1_0000000311.

Vancouver

1.Muhiddin Başer. Ore extensions of zip and reversible rings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2006 Jan. 1;55(01). doi:10.1501/Commua1_0000000311