P-algebras and Q-algebras

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dc.contributorBrown, Marcus
dc.contributorAllen, Paul J.
dc.contributorEvans, Martin J.
dc.contributorTrent, Tavan T.
dc.contributor.advisorNeggers, Joseph
dc.contributor.authorMahawanniarachchi, Padmal Sathyajith
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2017-03-01T14:37:50Z
dc.date.available2017-03-01T14:37:50Z
dc.date.issued2010
dc.descriptionElectronic Thesis or Dissertationen_US
dc.description.abstractWe 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.en_US
dc.format.extent77 p.
dc.format.mediumelectronic
dc.format.mimetypeapplication/pdf
dc.identifier.otheru0015_0000001_0000506
dc.identifier.otherMahawanniarachchi_alatus_0004D_10577
dc.identifier.urihttps://ir.ua.edu/handle/123456789/1011
dc.languageEnglish
dc.language.isoen_US
dc.publisherUniversity of Alabama Libraries
dc.relation.hasversionborn digital
dc.relation.ispartofThe University of Alabama Electronic Theses and Dissertations
dc.relation.ispartofThe University of Alabama Libraries Digital Collections
dc.rightsAll rights reserved by the author unless otherwise indicated.en_US
dc.subjectMathematics
dc.titleP-algebras and Q-algebrasen_US
dc.typethesis
dc.typetext
etdms.degree.departmentUniversity of Alabama. Department of Mathematics
etdms.degree.disciplineMathematics
etdms.degree.grantorThe University of Alabama
etdms.degree.leveldoctoral
etdms.degree.namePh.D.
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