Single identities for lattice theory and for weakly associative lattices

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Description

We present a single identity for the variety of all lattices that is much simpler than those previously known to us. We also show that the variety of weakly associative lattices is one-based, and we present a generalized one-based theorem for subvarieties of weakly associative lattices that can be defined with absorption laws. The automated theorem-proving program OTTER was used in substantial way to obtain the results.

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16 p.

Creation Information

McCune, W. & Padmanabhan, R. March 13, 1995.

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  • McCune, W. Argonne National Lab., IL (United States)
  • Padmanabhan, R. Univ. of Manitoba, Winnipeg (Canada). Dept. of Mathematics

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Description

We present a single identity for the variety of all lattices that is much simpler than those previously known to us. We also show that the variety of weakly associative lattices is one-based, and we present a generalized one-based theorem for subvarieties of weakly associative lattices that can be defined with absorption laws. The automated theorem-proving program OTTER was used in substantial way to obtain the results.

Physical Description

16 p.

Notes

OSTI as DE97008386

Source

  • Other Information: PBD: 13 Mar 1995

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  • Other: DE97008386
  • Report No.: ANL/MCS/PP--86040
  • Grant Number: W-31109-ENG-38
  • DOI: 10.2172/510566 | External Link
  • Office of Scientific & Technical Information Report Number: 510566
  • Archival Resource Key: ark:/67531/metadc691103

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • March 13, 1995

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

Description Last Updated

  • Dec. 15, 2015, 11:42 a.m.

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McCune, W. & Padmanabhan, R. Single identities for lattice theory and for weakly associative lattices, report, March 13, 1995; Illinois. (digital.library.unt.edu/ark:/67531/metadc691103/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.