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start [2021/02/22 20:15]
jipsen created
start [2021/02/22 20:55]
jipsen
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 mathematical structures. The aim is to have a central place to check mathematical structures. The aim is to have a central place to check
 what properties are known about these structures.  what properties are known about these structures. 
- 
-These pages are currently still under construction. /*Knowledgeable readers are encouraged to email additions or corrections to Peter Jipsen add or correct information.*/ 
-/*To enable the edit button on each page, use the Login link (above) to log in or create an account.*/ 
  
 Initially the main content concerns mostly first-order classes of relational Initially the main content concerns mostly first-order classes of relational
 structures and, more particularly, equationally defined classes of algebraic structures. structures and, more particularly, equationally defined classes of algebraic structures.
-If you are familiar with some of these classes of structures and would like some information added, please email Peter Jipsen (jipsen@chapman.edu). [Account creation unfortunately had to be disabled.] /*feel +If you are familiar with some of these classes of structures and would like some information added, please email Peter Jipsen (jipsen@chapman.edu). [Account creation unfortunately had to be disabled.] 
-free to add some relevant information and references by using the edit +
-link on the respective page. Pages are written in DokuWiki syntax, but mathematical notation is in standard LaTeX.  +
-The previous +
-versions of these pages are still available at http://math.chapman.edu/cgi-bin/structures.pl and http://math.chapman.edu/cgi-bin/structures . +
-You can use this [[Sandbox]] page to try out editing (without worrying about deleting +
-useful information).*/ +
- +
-/*[[Suggestions or comments]]? Just follow the link and edit the page.*/+
  
 **New:** Boldface links below display lists of finite algebras in a particular class (calculated locally in the browser). **New:** Boldface links below display lists of finite algebras in a particular class (calculated locally in the browser).
- 
-/*This front page can also be edited to add further classes of structures. A criterion  
-for inclusion in this list is that there should be some journal publication or book  
-where the class has been named and defined.*/ 
  
 [[Acknowledgements]] | [[Notation and terminology]] | [[Properties]] | [[Tools]] | [[Online books and lecture notes]] [[Acknowledgements]] | [[Notation and terminology]] | [[Properties]] | [[Tools]] | [[Online books and lecture notes]]
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 === Alphabetical list of all classes === === Alphabetical list of all classes ===
-  -[[Abelian groups]] nbsp [[wp>Abelian group]]+  -[[Abelian groups]] [[wp>Abelian group]]
   -[[Abelian lattice-ordered groups]]   -[[Abelian lattice-ordered groups]]
   -[[Abelian ordered groups]]   -[[Abelian ordered groups]]
   -[[Abelian p-groups]]   -[[Abelian p-groups]]
   -[[Abelian partially ordered groups]]   -[[Abelian partially ordered groups]]
-  -[[Action algebras]] nbsp [[wp>Action algebra]]+  -[[Action algebras]] [[wp>Action algebra]]
   -[[Action lattices]]   -[[Action lattices]]
   -[[Algebraic lattices]]   -[[Algebraic lattices]]
-  -[[Algebraic posets]] nbsp [[wp>Algebraic poset]]+  -[[Algebraic posets]] [[wp>Algebraic poset]]
   -[[Algebraic semilattices]]   -[[Algebraic semilattices]]
-  -[[Allegories]] nbsp [[wp>Allegory (category theory)]]+  -[[Allegories]] [[wp>Allegory (category theory)]]
   -[[Almost distributive lattices]]   -[[Almost distributive lattices]]
-  -[[Associative algebras]] nbsp [[wp>Associative algebra]] +  -[[Associative algebras]] [[wp>Associative algebra]] 
-  -[[Banach spaces]] nbsp [[wp>Banach space]] +  -[[Banach spaces]] [[wp>Banach space]] 
-  -[[Bands]] nbsp [[wp>Band (mathematics)]], **[[Finite bands]]**+  -[[Bands]] [[wp>Band (mathematics)]], **[[Finite bands]]**
   -[[Basic logic algebras]]   -[[Basic logic algebras]]
-  -[[BCI-algebras]] nbsp [[wp>BCI algebra]] +  -[[BCI-algebras]] [[wp>BCI algebra]] 
-  -[[BCK-algebras]] nbsp [[wp>BCK algebra]]+  -[[BCK-algebras]] [[wp>BCK algebra]]
   -[[BCK-join-semilattices]]   -[[BCK-join-semilattices]]
   -[[BCK-lattices]]   -[[BCK-lattices]]
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   -[[Binars]], **[[Finite binars]], [[Finite binars with identity|with identity]], [[Finite binars with zero|with zero]], [[Finite binars with identity and zero|with identity and zero]]**,    -[[Binars]], **[[Finite binars]], [[Finite binars with identity|with identity]], [[Finite binars with zero|with zero]], [[Finite binars with identity and zero|with identity and zero]]**, 
   -[[Basic logic algebras|BL-algebras]]   -[[Basic logic algebras|BL-algebras]]
-  -[[Boolean algebras]] nbsp [[wp>Boolean algebra (structure)]]+  -[[Boolean algebras]] [[wp>Boolean algebra (structure)]]
   -[[Boolean algebras with operators]]   -[[Boolean algebras with operators]]
   -[[Boolean groups]]   -[[Boolean groups]]

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