A Set of Five Postulates for Boolean Algebras in Terms of the Operation "exception"
Title | A Set of Five Postulates for Boolean Algebras in Terms of the Operation "exception" PDF eBook |
Author | James Sturdevant Taylor |
Publisher | |
Pages | 94 |
Release | 1920 |
Genre | Algebra |
ISBN |
A Set of Five Postulates for Boolean Algebras in Terms of the Operation "exception,"
Title | A Set of Five Postulates for Boolean Algebras in Terms of the Operation "exception," PDF eBook |
Author | James Sturdevant Taylor |
Publisher | |
Pages | 248 |
Release | 1920 |
Genre | Algebra |
ISBN |
A Set of Five Postulates for Boolean Algebras in Terms of the Operation "exception," by J.S. Taylor
Title | A Set of Five Postulates for Boolean Algebras in Terms of the Operation "exception," by J.S. Taylor PDF eBook |
Author | James Sturdevant Taylor |
Publisher | |
Pages | 248 |
Release | 1920 |
Genre | Algebra, Boolean |
ISBN |
A Set of Five Postulates for Boolean Algebras in Terms of the Operation "Exception" by J. S. Taylor. Berkeley, University of California Press [1920
Title | A Set of Five Postulates for Boolean Algebras in Terms of the Operation "Exception" by J. S. Taylor. Berkeley, University of California Press [1920 PDF eBook |
Author | James Sturdevant Taylor |
Publisher | |
Pages | 248 |
Release | 1918 |
Genre | Algebra |
ISBN |
A Set of Five Postulates for Boolean Algebras in Terms of the Operations "exception"
Title | A Set of Five Postulates for Boolean Algebras in Terms of the Operations "exception" PDF eBook |
Author | J. S. Taylor |
Publisher | |
Pages | 8 |
Release | 1966 |
Genre | |
ISBN |
Axioms for Lattices and Boolean Algebras
Title | Axioms for Lattices and Boolean Algebras PDF eBook |
Author | Ranganathan Padmanabhan |
Publisher | World Scientific |
Pages | 229 |
Release | 2008 |
Genre | Mathematics |
ISBN | 9812834540 |
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.
On Numbers which Contain No Factors of the Form P(kp+u)
Title | On Numbers which Contain No Factors of the Form P(kp+u) PDF eBook |
Author | Henry Walter Stager |
Publisher | |
Pages | 298 |
Release | 1912 |
Genre | Numbers, Prime |
ISBN |