Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 40, No 3-4, (2014), 319p-328p
Abstract:
In this paper we introduce a new class of lattice ordered algebra, which will be called a pseudo-almost f-algebra; namely, a lattice ordered algebra A in which a ∧ b = 0 in A implies ab ∧ ba = 0. We present some
fundamental properties of pseudo-almost f-algebras and consider their relationships with various type of lattice ordered algebras; mainely, f-algebras, almost f-algebras and d-algebras. 2010 Mathematics Subject Classification: Primary 46A40, 46B42; Secondary 06F25, 13J25.
