DSpace logo

Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11451
Title: Maximal Non ϕ -Chained Rings and Maximal Non Chained Rings
Authors: Kumar, Rahul
Keywords: Mathematics
Maximal Non Chained Rings
Issue Date: Jun-2019
Publisher: Springer
Abstract: Let R be a commutative ring with unity. The notion of maximal non chained subrings of a ring and maximal non ϕ-chained subrings of a ring is introduced which generalizes the concept of maximal non valuation subrings of a domain. A ring R is said to be a maximal non chained (resp., ϕ-chained) subring of S if R is a proper subring of S, R is not a chained (resp., ϕ-chained) ring and every subring of S which contains R properly is a chained (resp., ϕ-chained) ring. We study the properties and characterizations of a maximal non chained (ϕ-chained) subring of a ring. Examples of a maximal non ϕ-chained subring which is not a maximal non chained subring and a maximal non chained subring which is not a maximal non ϕ-chained subring are also given to strengthen the concept.
URI: https://link.springer.com/article/10.1007/s00025-019-1043-6
http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11451
Appears in Collections:Department of Mathematics

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.