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dc.contributor Brown, Marcus
dc.contributor Allen, Paul J.
dc.contributor Evans, Martin J.
dc.contributor Trent, Tavan T.
dc.contributor.advisor Neggers, Joseph Mahawanniarachchi, Padmal Sathyajith 2017-03-01T14:37:50Z 2017-03-01T14:37:50Z 2010
dc.identifier.other u0015_0000001_0000506
dc.identifier.other Mahawanniarachchi_alatus_0004D_10577
dc.description Electronic Thesis or Dissertation
dc.description.abstract We define two classes of algebras P- and Q-, which are derived from the definitions of BCK- and BCI- algebras. The birth of P-algebras is based on the symmetric difference in set theory. We prove that the class of P-algebras is a variety, and the definition of P-algebras is an alternative definition for groups of exponent 2, which we call P-groups. The class of Q-algebras consists of a combination of three axioms of BCK- and P- algebras. We study the relationship among P-, Q- and BCI- algebras. The theory of P- and Q- algebras is developed parallel to the theory of BCK- and BCI- algebras.
dc.format.extent 77 p.
dc.format.medium electronic
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en_US
dc.publisher University of Alabama Libraries
dc.relation.ispartof The University of Alabama Electronic Theses and Dissertations
dc.relation.ispartof The University of Alabama Libraries Digital Collections
dc.relation.hasversion born digital
dc.rights All rights reserved by the author unless otherwise indicated.
dc.subject.other Mathematics
dc.title P-algebras and Q-algebras
dc.type thesis
dc.type text University of Alabama. Dept. of Mathematics Mathematics The University of Alabama doctoral Ph.D.

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