Closure Operators on Complete Almost Distributive Lattices-III

• Autorzy: Rao, Calyampudi Radhakrishna , Undurthi, Venugopalam

Abstrakty

EN

In this paper, we prove that the lattice of all closure operators of a complete Almost Distributive Lattice L with fixed maximal element m is dual atomistic. We define the concept of a completely meet-irreducible element in a complete ADL and derive a necessary and sufficient condition for a dual atom of Φ(L) to be complemented.

Słowa kluczowe

EN

Complete Almost Distributive Lattice; Closure operator; Dual atom; Dual atomistic; Completely meet-irreducible element

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2015
• Tom: 44
• Numer: 1-2

Daty

wydano

2015

Twórcy

autor

Rao, Calyampudi Radhakrishna

autor

Undurthi, Venugopalam

other

Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India – 530003

other

[e-mail]

other

[e-mail]

Identyfikatory

URI

http://hdl.handle.net/11089/17399