Omer Gok
Yildiz Technical University, Istanbul, Turkey

In this study, we ıntroduce the Fremlin tensor product of lattice ordered algebras and the Fremlin projective tensor product of Banach lattice almost f-algebras, d-algebras. We say that a Banach lattice is a Banach lattice algebra if it is a Banach algebra where the multiplication of positive elements is positive. A lattice ordered algebra $A$ is called an almost f-algebra if $ab=0$ whenever $a \wedge b =0$ for every $a, b \in A$. A lattice ordered algebra $A$ is said to be a d-algebra if $ca \wedge cb =ac \wedge bc =0$ for every $c \in A^{+}$ , whenever $a \wedge b =0$ for every $a,b \in A$. A lattice ordered algebra $A$ is called an f-algebra if $ca \wedge b =ac \wedge b =0$ for every $c \in A^{+}$ , whenever $a \wedge b =0$ for every $a, b \in A$.