A characterization of homomorphisms between groupoids and the relationships existing among them

dc.contributor.advisorPetrucco, Oswalden_US
dc.contributor.authorGrant, David J.en_US
dc.date.accessioned2011-06-03T19:31:54Z
dc.date.available2011-06-03T19:31:54Z
dc.date.created1977en_US
dc.date.issued1977
dc.description.abstractThis thesis presents a partition of the class of homomorphisms between groupoids of n-tuples in a system g = (G,&,@), where G = { a,b,c,d,e }is a set of five elements such that: 1) a is the &-identity and annihilates all elements under @; 2) b is the @-identity; 3) d absorbs all all elements except e under & and all elements except a and e under @; 4) e absorbs all elements under & and all elements except a under @; 5) & is a binary operation on G and is commutative in G; 6) @ is a binary operation on G and is left-distributive over & in G.Matrices over g were examined for characteristics which would determine different atomic properties of homomorphisms. A matrix operation @ was defined, which allowed the homomorphisms of groupoids of the form, (G(n) , &), to be modeled by a matrix equation. Using the atomic proper ties, a partition of the class of homomorphisms between groupoids was developed, and an example of an element in each of its disjoint subsets was presented. A listing of theorems was also derived.Ball State UniversityMuncie, IN 47306en_US
dc.description.degreeThesis (M.S.)--Ball State University, 1977.en_US
dc.format.extent[v], 59 leaves : ill. ; 28 cm.en_US
dc.identifierLD2489.Z78 1977 .G72en_US
dc.identifier.cardcat-urlhttp://liblink.bsu.edu/catkey/415997en_US
dc.identifier.urihttp://cardinalscholar.bsu.edu/handle/20.500.14291/181476
dc.sourceVirtual Pressen_US
dc.subject.lcshGroup theory -- Relations.en_US
dc.subject.lcshSet theory.en_US
dc.subject.otherBall State University. Thesis (M.S.)en_US
dc.titleA characterization of homomorphisms between groupoids and the relationships existing among themen_US
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