Mathematical Structures: History of Goedel algebras

[Home]History of Goedel algebras

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Revision 7 . . July 8, 2004 2:35 pm by Jipsen
Revision 6 . . July 8, 2004 2:33 pm by Jipsen
Revision 5 . . December 14, 2003 12:45 pm by 68.5.251.xxx
  

Difference (from prior major revision) (author diff)

Changed: 27,28c27,28
\Large Gödel algebras
\quad\href{http://math.chapman.edu/cgi-bin/structures?action=edit;id=Gödel_algebras}{edit}
\Large G\"odel algebras
\quad\href{http://math.chapman.edu/cgi-bin/structures?action=edit;id=Goedel_algebras}{edit}

Changed: 30c30
\abbreviation{GödA}
\abbreviation{G\"odA}

Changed: 33c33
A Gödel algebra is a \href{Heyting_algebras.pdf}{Heyting algebras} $\mathbf{A}=\langle A,\vee,0,\wedge,1,\rightarrow\rangle$ such that
A G\"odel algebra is a \href{Heyting_algebras.pdf}{Heyting algebras} $\mathbf{A}=\langle A,\vee,0,\wedge,1,\rightarrow\rangle$ such that

Changed: 38,39c38
Gödel algebras are also called linear Heyting algebras since subdirectly irreducible Gödel algebras are linearly ordered Heyting algebras.

G\"odel algebras are also called linear Heyting algebras since subdirectly irreducible G\"odel algebras are linearly ordered Heyting algebras.

Changed: 43,45c42
A Gödel algebra is a \href{Representable_FLew-algebras.pdf}{representable FLew-algebras} $\mathbf{A}=\left\langle A,\vee
,0,\wedge ,1,\cdot ,\rightarrow \right\rangle $ such that

A G\"odel algebra is a \href{Representable_FLew-algebras.pdf}{representable FLew-algebra} $\mathbf{A}=\langle A, \vee, 0, \wedge, 1, \cdot, \rightarrow\rangle$ such that

Changed: 51c48
Let $\mathbf{A}$ and $\mathbf{B}$ be Gödel algebras. A morphism from $\mathbf{A}$ to $\mathbf{B}$ is a function $h:A\rightarrow B$ that is a
Let $\mathbf{A}$ and $\mathbf{B}$ be G\"odel algebras. A morphism from $\mathbf{A}$ to $\mathbf{B}$ is a function $h:A\rightarrow B$ that is a

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