Ontology type: schema:ScholarlyArticle
2019-02-19
AUTHORSSin-Ei Takahasi, Takeshi Miura, Hirokazu Oka
ABSTRACTGiven any cancellative continuous semigroup operation ⋆ on the positive real numbers R+ with the ordinary topology, we completely characterize the set D⋆(R+) of all cancellative continuous semigroup operations on R+ which are distributed by ⋆ in terms of homeomorphism. As a consequence, we show that an arbitrary semigroup operation in D⋆(R+) is homeomorphically isomorphic to the ordinary addition + on R+. More... »
PAGES1-20
http://scigraph.springernature.com/pub.10.1007/s00233-019-10006-3
DOIhttp://dx.doi.org/10.1007/s00233-019-10006-3
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