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\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 |
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\Large Integral relation algebras \quad\href{http://math.chapman.edu/cgi-bin/structures?action=edit;id=Integral_relation_algebras}{edit} |
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\abbreviation{Abbr} |
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\abbreviation{IRA} |
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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} $op_1$ is (name of property): $axiom_1$ |
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An integral relation algebra is a \href{Relation_algebras.pdf}{relation algebra} $\mathbf{A}=\langle A,\vee,0, \wedge,1,\neg,\circ,^{\smile},e\rangle$ that is |
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$op_2$ is ...: $...$ |
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integral: $x\circ y=0\implies x=0\mbox{ or }y=0$ |
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Classtype & (value, see description) \cite{Ln19xx} \\\hline Equational theory & \\\hline Quasiequational theory & \\\hline First-order theory & \\\hline Locally finite & \\\hline Residual size & \\\hline Congruence distributive & \\\hline Congruence modular & \\\hline Congruence $n$-permutable & \\\hline Congruence regular & \\\hline Congruence uniform & \\\hline Congruence extension property & \\\hline Definable principal congruences & \\\hline Equationally def. pr. cong. & \\\hline |
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Classtype & universal \\\hline Equational theory & undecidable \\\hline Quasiequational theory & undecidable \\\hline First-order theory & undecidable \\\hline Locally finite & no \\\hline Residual size & no \\\hline Congruence distributive & yes \\\hline Congruence modular & yes \\\hline Congruence $n$-permutable & yes \\\hline Congruence regular & yes \\\hline Congruence uniform & yes \\\hline Congruence extension property & yes \\\hline Definable principal congruences & no \\\hline Equationally def. pr. cong. & no \\\hline |
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