. . . . . . . . . . . . . . . . . . . . "abstraktn\u00ED algebru"@cs . "10826"^^ . "77"^^ . . . "abstraktn\u00ED"@cs . . . . . . . . . "Abstraktn\u00ED algebra"@cs . "obecn\u00E9 algebry"@cs . . "abstraktn\u00ED algeb\u0159e"@cs . "523899"^^ . . . . "abstraktn\u00ED struktury"@cs . . . . . . . . . "abstraktn\u00ED algebry"@cs . . . . "15838245"^^ . . . . . . . . . . "algeb\u0159e"@cs . "Abstraktn\u00ED algebra je oblast matematiky zkoumaj\u00EDc\u00ED abstraktn\u00ED algebraick\u00E9 struktury. Term\u00EDn vznikl po\u010D\u00E1tkem 20. stolet\u00ED na odli\u0161en\u00ED oboru od element\u00E1rn\u00ED algebry, je\u017E se zab\u00FDv\u00E1 nap\u0159\u00EDklad \u00FApravou algebraick\u00FDch v\u00FDraz\u016F s re\u00E1ln\u00FDmi a komplexn\u00EDmi \u010D\u00EDsly. Dnes se ji\u017E toto rozd\u011Blen\u00ED obvykle nepou\u017E\u00EDv\u00E1.Zat\u00EDmco element\u00E1rn\u00ED algebra se zab\u00FDv\u00E1 konkr\u00E9tn\u00EDmi objekty (nap\u0159\u00EDklad re\u00E1ln\u00FDmi \u010D\u00EDsly), abstraktn\u00ED algebra se t\u00FDk\u00E1 jak\u00E9koli struktury, kter\u00E1 spl\u0148uje dan\u00E9 podm\u00EDnky."@cs . "abstraktn\u00ED algebra"@cs . . . . . "Abstraktn\u00ED algebra"@cs . . "\u0161irokou skupinu"@cs . . . . . . . . . "Abstraktn\u00ED algebra je oblast matematiky zkoumaj\u00EDc\u00ED abstraktn\u00ED algebraick\u00E9 struktury. Term\u00EDn vznikl po\u010D\u00E1tkem 20. stolet\u00ED na odli\u0161en\u00ED oboru od element\u00E1rn\u00ED algebry, je\u017E se zab\u00FDv\u00E1 nap\u0159\u00EDklad \u00FApravou algebraick\u00FDch v\u00FDraz\u016F s re\u00E1ln\u00FDmi a komplexn\u00EDmi \u010D\u00EDsly. Dnes se ji\u017E toto rozd\u011Blen\u00ED obvykle nepou\u017E\u00EDv\u00E1.Zat\u00EDmco element\u00E1rn\u00ED algebra se zab\u00FDv\u00E1 konkr\u00E9tn\u00EDmi objekty (nap\u0159\u00EDklad re\u00E1ln\u00FDmi \u010D\u00EDsly), abstraktn\u00ED algebra se t\u00FDk\u00E1 jak\u00E9koli struktury, kter\u00E1 spl\u0148uje dan\u00E9 podm\u00EDnky. Nap\u0159\u00EDklad pologrupou je ka\u017Ed\u00E1 mno\u017Eina s asociativn\u00ED bin\u00E1rn\u00ED operac\u00ED - m\u016F\u017Ee to b\u00FDt mno\u017Eina \u010D\u00EDsel, mno\u017Eina funkc\u00ED, mno\u017Eina uspo\u0159\u00E1dan\u00FDch p\u011Btic atd.V\u00FDhoda abstraktn\u00EDho p\u0159\u00EDstupu spo\u010D\u00EDv\u00E1 v tom, \u017Ee sta\u010D\u00ED pro dan\u00FD typ strukturu (nap\u0159. grupu nebo line\u00E1rn\u00ED prostor) jednou dok\u00E1zat n\u011Bjakou v\u011Btu a m\u016F\u017Eeme ji aplikovat na ka\u017Edou strukturu, kter\u00E1 spl\u0148uje definici grupy, line\u00E1rn\u00EDho prostoru apod."@cs . . "abstraktn\u00EDch algebraick\u00FDch struktur"@cs . . .