Geodesic
Notes on Lattice Ordered Aalgebras
Serdica Mathematical Journal, Tome 40 (2014) no. 3-4, pp. 319-328

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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.
Keywords: lattice ordered algebra, Riesz algebra, f-algebra, almost f-algebra, d-algebra, pseudo-almost f-algebra 
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Yılmaz, Ruşen. Notes on Lattice Ordered Aalgebras. Serdica Mathematical Journal, Tome 40 (2014) no. 3-4, pp. 319-328. http://geodesic.mathdoc.fr/item/SMJ2_2014_40_3-4_a5/