Relatively Orthocomplemented Skew Nearlattices in Rickart Rings

Relatively Orthocomplemented Skew Nearlattices in Rickart Rings

A class of (right) Rickart rings, called strong, is isolated. In particular, every Rickart *-ring is strong. It is shown in the paper that every strong Rickart ring R admits a binary operation which turns R into a right normal band having an upper bound property with respect to its natural order ≤;...

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Bibliographic Details
Main Author: Cīırulis Jānis
Format: Article
Language:English
Published: De Gruyter 2015-12-01
Series:Demonstratio Mathematica
Subjects:
orthogonality
relatively orthocomplemented poset
restrictive semigroup
Rickart ring
right normal band
right-star order
skew nearlattice
Online Access:http://www.degruyter.com/view/j/dema.2015.48.issue-4/dema-2015-0036/dema-2015-0036.xml?format=INT

Internet

http://www.degruyter.com/view/j/dema.2015.48.issue-4/dema-2015-0036/dema-2015-0036.xml?format=INT

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