Mathematical Structures: History of Multiplicative lattices

[Home]History of Multiplicative lattices

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Revision 2 . . July 29, 2004 12:30 pm by Jipsen
Revision 1 . . July 9, 2004 10:22 am by Jipsen
  

Difference (from prior major revision) (no other diffs)

Changed: 28,30c28,29
\Large Name of class
\quad\href{http://math.chapman.edu/cgi-bin/structures?action=edit;id=Template}{edit}
% Note: replace "Template" with Name_of_class in previous line
\Large Multiplicative lattices
\quad\href{http://math.chapman.edu/cgi-bin/structures?action=edit;id=Multiplicative_lattices}{edit}

Changed: 32c31
\abbreviation{Abbr}
\abbreviation{MultLat}

Changed: 35,38c34
A ... is a structure $\mathbf{A}=\langle A,...\rangle$ of type $\langle
...\rangle$ such that

$\langle A,...\rangle$ is a \href{Name_of_class.pdf}{name of class}
A multiplicative lattice (or $m$-lattice) is a structure $\mathbf{A}=\langle A,\vee,\wedge,\cdot\rangle$ of type $\langle 2,2,2\rangle$ such that

Changed: 40c36
$op_1$ is (name of property): $axiom_1$
$\langle A,\vee,\wedge\rangle$ is a \href{Lattices.pdf}{lattice}

Changed: 42c38
$op_2$ is ...: $...$
$\cdot$ distributes over $\vee$: $x(y\vee z)=xy\vee xz$, $(x\vee y)z=xz\vee yz$

Changed: 78c74
Classtype & (value, see description) \cite{Ln19xx} \\\hline
Classtype & variety \\\hline

Changed: 84,85c80,81
Congruence distributive & \\\hline
Congruence modular & \\\hline
Congruence distributive & yes\\\hline
Congruence modular & yes\\\hline

Changed: 120,122c116
\href{....pdf}{...} subvariety

\href{....pdf}{...} expansion
\href{Lattice-ordered_semigroups.pdf}{Lattice-ordered semigroups}

Changed: 128c122
\href{....pdf}{...} supervariety
\href{Lattices.pdf}{Lattices} reduced type

Changed: 130c124
\href{....pdf}{...} subreduct
\href{Multiplicative_semilattices.pdf}{Multiplicative semilattices} reduced type

Changed: 136c130
\bibitem{Ln19xx}
\bibitem{Lastname19xx}

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