Acta mathematica scientia, Series B >
ON INVERSES AND ALGEBRAIC LOOPS OF CO-H-SPACES
Received date: 2013-01-14
Revised date: 2013-06-20
Online published: 2014-07-20
Supported by
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0022035).
In this paper we study the properties of homotopy inverses of comultiplications and algebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primar-ily interested in the algebraic loops which have inversive, power-associative and Moufang
properties for some comultiplications.
Dae-Woong LEE . ON INVERSES AND ALGEBRAIC LOOPS OF CO-H-SPACES[J]. Acta mathematica scientia, Series B, 2014 , 34(4) : 1193 -1211 . DOI: 10.1016/S0252-9602(14)60079-5
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