Reversible Rings with Involutions and Some Minimalities
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
In continuation of the recent developments on extended reversibilities on rings, we initiate here a study on reversible rings with involutions, or, in short, *-reversible rings.
These rings are symmetric, reversible, reflexive, and semicommutative.
In this note we will study some properties and examples of *-reversible rings.
It is proved here that the polynomial rings of *-reversible rings may not be *-reversible.
A criterion for rings which cannot adhere to any involution is developed and it is observed that a minimal noninvolutary ring is of order 4 and that a minimal noncommutative *-reversible ring is of order 16.
American Psychological Association (APA)
Fakieh, W. M.& Nauman, S. K.. 2013. Reversible Rings with Involutions and Some Minimalities. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1033165
Modern Language Association (MLA)
Fakieh, W. M.& Nauman, S. K.. Reversible Rings with Involutions and Some Minimalities. The Scientific World Journal No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1033165
American Medical Association (AMA)
Fakieh, W. M.& Nauman, S. K.. Reversible Rings with Involutions and Some Minimalities. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1033165
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033165