We introduce a general concept of annihilators in universal algebra. For theso-called annihilator variety we show that the annihilator is an ideal. Wepresent conditions under which the annihilators of singletons arepseudocomplements in their ideal lattices.
We introduce a general concept of annihilators in universal algebra. For theso-called annihilator variety we show that the annihilator is an ideal. Wepresent conditions under which the annihilators of singletons arepseudocomplements in their ideal lattices. (en)
Zavádí se obecný pojem anihilátoru v univerzální algebře. Pro tzv. anihilátorové variety jsou anihilátory ideály. Studují se podmínky, za kterých je anihilátor jednoprvkové množiny pseudokomplement ve svazu ideálů. (cs)