Paper 2008/256
ON MIDDLE UNIVERSAL WEAK AND CROSS INVERSE PROPERTY LOOPS WITH EQUAL LENGHT OF INVERES CYCLES
JAIYEOLA Temitope Gbolahan
Abstract
This study presents a special type of middle isotopism under which
the weak inverse property(WIP) is isotopic invariant in loops. A
sufficient condition for a WIPL that is specially isotopic to a loop
to be isomorphic to the loop isotope is established. Cross inverse
property loops(CIPLs) need not satisfy this sufficient condition. It
is shown that under this special type of middle isotopism, if
Note: Loops are weaker algebraic structures that generalize groups. Every group is a loop but not every loop is a group.
Metadata
- Available format(s)
-
PDF
- Publication info
- Published elsewhere. Submitted for Publication
- Keywords
- cross inverse property loops(CIPLs)weak inverse property(WIPLs)inverse cycles
- Contact author(s)
- tjayeola @ oauife edu ng
- History
- 2008-06-10: received
- Short URL
- https://ia.cr/2008/256
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2008/256, author = {JAIYEOLA Temitope Gbolahan}, title = {{ON} {MIDDLE} {UNIVERSAL} {WEAK} {AND} {CROSS} {INVERSE} {PROPERTY} {LOOPS} {WITH} {EQUAL} {LENGHT} {OF} {INVERES} {CYCLES}}, howpublished = {Cryptology {ePrint} Archive, Paper 2008/256}, year = {2008}, url = {https://eprint.iacr.org/2008/256} }