an:06963224
Zbl 1398.06007
Emanovsk??, Petr; K??hr, Jan
On special elements and pseudocomplementation in lattices with antitone involutions
EN
Soft Comput. 22, No. 14, 4561-4572 (2018).
00407819
2018
j
06D15 06D35 06C15 03G25
basic algebra; lattice with antitone involutions; distributive element; standard element; neutral element; sharp element; Boolean element; central element; basic algebra with pseudocomplementation
Summary: The so-called basic algebras correspond in a natural way to lattices with antitone involutions and hence generalize both MV-algebras and orthomodular lattices. The paper deals with several types of special elements of basic algebras and with pseudocomplemented basic algebras.