. "Voln\u00FD monoid"@cs . . "1133.68"^^ . "Berstel"@cs . . . "0"^^ . "Pitman Publishing"@cs . . "Shallit"@cs . "Christophe"@cs . "1188.68"^^ . "Elements of automata theory"@cs . "1086.11"^^ . "Salomaa"@cs . . "1187.94"^^ . "Applied combinatorics on words"@cs . . "S p\u0159edmluvou od Jeana Berstela a Dominiqua Perrina"@cs . "Dominique"@cs . "M. Lothaire"@cs . . . "Cambridge"@cs . . "487.681"^^ . "978"^^ . "1173436"^^ . "2010"^^ . "2011"^^ . "Voln\u00FD monoid na mno\u017Ein\u011B je v abstraktn\u00ED algeb\u0159e monoid, jeho\u017E prvky jsou v\u0161echny kone\u010Dn\u00E9 posloupnosti (neboli \u0159et\u011Bzce) prvk\u016F t\u00E9to mno\u017Einy, p\u0159i\u010Dem\u017E monoidovou operac\u00ED je operace z\u0159et\u011Bzen\u00ED a neutr\u00E1ln\u00ED prvek tvo\u0159en\u00FD posloupnost\u00ED nula prvk\u016F se naz\u00FDv\u00E1 pr\u00E1zdn\u00FD \u0159et\u011Bzec, a ozna\u010Duje se obvykle \u03B5 nebo \u03BB. Voln\u00FD monoid nad mno\u017Einou A se obvykle ozna\u010Duje A\u2217; voln\u00E1 pologrupa na A je podpologrupa A\u2217 obsahuj\u00EDc\u00ED v\u0161echny prvky krom\u011B pr\u00E1zdn\u00E9ho \u0159et\u011Bzce; obvykle se ozna\u010Duje A+.Obecn\u011Bji, abstraktn\u00ED monoid (nebo pologrupu) S naz\u00FDv\u00E1me voln\u00FD nebo voln\u00E1, jestli\u017Ee je izomorfn\u00ED s voln\u00FDm monoidem (nebo pologrupou) nad n\u011Bjakou mno\u017Einou.Jak jm\u00E9no nazna\u010Duje, voln\u00E9 monoidy a pologrupy jsou objekty kter\u00E9 vyhovuj\u00ED obvykl\u00E9 univerz\u00E1ln\u00ED vlastnosti definuj\u00EDc\u00ED voln\u00E9 objekty v kategorii monoid\u016F nebo pologrup. Z toho plyne, \u017Ee ka\u017Ed\u00FD monoid (resp. ka\u017Ed\u00E1 pologrupa) se je homomorfn\u00EDm obrazem voln\u00E9ho monoidu (resp. voln\u00E9 pologrupy). Studium pologrup jako obraz\u016F voln\u00FDch pologrup se naz\u00FDv\u00E1 kombinatorick\u00E1 teorie pologrup."@cs . . "2009"^^ . "Jewels of Formal Language Theory"@cs . . "Jean"@cs . . "Translated z French by Reuben Thomas"@cs . "Algebraic combinatorics on words"@cs . "2005"^^ . "Jean-Paul"@cs . "13327075"^^ . "2003"^^ . "129"^^ . "Reprint v\u00E1zan\u00E9 knihy z roku 2002"@cs . "Arto Salomaa"@cs . . . "Encyclopedia of Mathematics and its Applications"@cs . . . "Codes and automata"@cs . . "M."@cs . . "90"^^ . "Jacques"@cs . . "1221.68"^^ . "1981"^^ . "Voln\u00FD monoid na mno\u017Ein\u011B je v abstraktn\u00ED algeb\u0159e monoid, jeho\u017E prvky jsou v\u0161echny kone\u010Dn\u00E9 posloupnosti (neboli \u0159et\u011Bzce) prvk\u016F t\u00E9to mno\u017Einy, p\u0159i\u010Dem\u017E monoidovou operac\u00ED je operace z\u0159et\u011Bzen\u00ED a neutr\u00E1ln\u00ED prvek tvo\u0159en\u00FD posloupnost\u00ED nula prvk\u016F se naz\u00FDv\u00E1 pr\u00E1zdn\u00FD \u0159et\u011Bzec, a ozna\u010Duje se obvykle \u03B5 nebo \u03BB."@cs . "Collective d\u00EDlo by Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche a Val\u00E9rie Berth\u00E9"@cs . "Arto"@cs . "Reutenauer"@cs . . "20"^^ . "Jeffrey Shallit"@cs . "Allouche"@cs . "Lothaire"@cs . "Sakarovitch"@cs . . "Perrin"@cs . "4701"^^ . "Voln\u00FD monoid"@cs . . . "105"^^ . "Automatic Sequences: Theory, Applications, Generalizations"@cs . "Jeffrey"@cs .