The enumeration of strings of a given length in an n-ary non-associative non-commutative algebra Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/r207ts08z

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  • In his book on abstract algebra, Nathan Jacobson poses and solves the problem of finding the number of ways of inserting parentheses in a string of given length with binary operators. We continue the work of Jacobson and go beyond it in that we no longer consider one binary operator but general n-ary operators chosen from a given set of p n-ary operators. Furthermore, the algebra we consider is neither associative nor commutative. We thus obtain a count of the number of strings of given length where the strings contain any of the given p n-ary operators.
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  • File scanned at 300 ppi using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
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  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2014-06-18T16:04:15Z (GMT) No. of bitstreams: 1 KlosinskiLeonard1963.pdf: 754923 bytes, checksum: 8b9a0c791886e001252ae56dc6c95a7f (MD5)
  • description.provenance : Submitted by Georgeann Booth (gbscannerosu@gmail.com) on 2014-06-09T18:35:48Z No. of bitstreams: 1 KlosinskiLeonard1963.pdf: 754923 bytes, checksum: 8b9a0c791886e001252ae56dc6c95a7f (MD5)
  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2014-06-18T16:07:29Z (GMT) No. of bitstreams: 1 KlosinskiLeonard1963.pdf: 754923 bytes, checksum: 8b9a0c791886e001252ae56dc6c95a7f (MD5)
  • description.provenance : Made available in DSpace on 2014-06-18T16:07:29Z (GMT). No. of bitstreams: 1 KlosinskiLeonard1963.pdf: 754923 bytes, checksum: 8b9a0c791886e001252ae56dc6c95a7f (MD5) Previous issue date: 1963-05-02

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