Axioms for Lattices and Boolean Algebras

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Publisher : World Scientific
ISBN 13 : 9812834540
Total Pages : 229 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Axioms for Lattices and Boolean Algebras by : Ranganathan Padmanabhan

Download or read book Axioms for Lattices and Boolean Algebras written by Ranganathan Padmanabhan and published by World Scientific. This book was released on 2008 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of ?join and meet? or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems. A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices. Here, the celebrated problem of E V Huntington is addressed, which ? according to G Gratzer, a leading expert in modern lattice theory ? is one of the two problems that shaped a century of research in lattice theory. Among other things, it is shown that there are infinitely many non-modular lattice identities that force a uniquely complemented lattice to be Boolean, thus providing several new axiom systems for Boolean algebras within the class of all uniquely complemented lattices. Finally, a few related lines of research are sketched, in the form of appendices, including one by Dr Willian McCune of the University of New Mexico, on applications of modern theorem-proving to the equational theory of lattices.

Bulletin of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1920 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin (new Series) of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Bulletin (new Series) of the American Mathematical Society by :

Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1920 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contribution from the Department of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis Contribution from the Department of Mathematics by :

Download or read book Contribution from the Department of Mathematics written by and published by . This book was released on 1920 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Algebra and Lattice Theory

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Publisher : Springer
ISBN 13 : 3540409548
Total Pages : 314 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Universal Algebra and Lattice Theory by : R.S. Freese

Download or read book Universal Algebra and Lattice Theory written by R.S. Freese and published by Springer. This book was released on 2006-11-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transactions of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transactions of the American Mathematical Society by : American Mathematical Society

Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1924 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.

Contributions

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Publisher :
ISBN 13 :
Total Pages : 502 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Contributions by : Massachusetts Institute of Technology. Dept. of Mathematics

Download or read book Contributions written by Massachusetts Institute of Technology. Dept. of Mathematics and published by . This book was released on 1920 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Provability, Computability and Reflection

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Publisher : Elsevier
ISBN 13 : 0080957323
Total Pages : 493 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Report of the President and the Chancellor - Massachusetts Institute of Technology

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Publisher :
ISBN 13 :
Total Pages : 910 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Report of the President and the Chancellor - Massachusetts Institute of Technology by : Massachusetts Institute of Technology

Download or read book Report of the President and the Chancellor - Massachusetts Institute of Technology written by Massachusetts Institute of Technology and published by . This book was released on 1917 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:

東北数學雑誌

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Publisher :
ISBN 13 :
Total Pages : 598 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis 東北数學雑誌 by :

Download or read book 東北数學雑誌 written by and published by . This book was released on 1921 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Journal of Symbolic Logic

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Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Journal of Symbolic Logic by :

Download or read book The Journal of Symbolic Logic written by and published by . This book was released on 1936 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes lists of members.

President's Report for the Year Ending ...

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Publisher :
ISBN 13 :
Total Pages : 990 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis President's Report for the Year Ending ... by : Massachusetts Institute of Technology

Download or read book President's Report for the Year Ending ... written by Massachusetts Institute of Technology and published by . This book was released on 1917 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Science

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Publisher :
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Science by :

Download or read book Science written by and published by . This book was released on 1920 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1911-13 contain the Proceedings of the Helminothological Society of Washington, ISSN 0018-0120, 1st-15th meeting.

The American Mathematical Monthly

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Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The American Mathematical Monthly by :

Download or read book The American Mathematical Monthly written by and published by . This book was released on 1920 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes section "Recent publications."

The Mathematical Gazette

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Publisher :
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Mathematical Gazette by :

Download or read book The Mathematical Gazette written by and published by . This book was released on 1922 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Acta Scientiarum Mathematicarum

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Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Acta Scientiarum Mathematicarum by : József Attila Tudományegyetem

Download or read book Acta Scientiarum Mathematicarum written by József Attila Tudományegyetem and published by . This book was released on 1963 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamenta Informaticae

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Publisher :
ISBN 13 :
Total Pages : 880 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fundamenta Informaticae by : Polskie Towarzystwo Matematyczne

Download or read book Fundamenta Informaticae written by Polskie Towarzystwo Matematyczne and published by . This book was released on 2004 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: