%0 Journal Article %T B -AND B - COMPLETENESS IN LOCALLY CONVEX ALGEBRAS AND THE E x THEOREM %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %D 1994 %\ 09/01/1994 %V 5 %N 2 %P - %! B -AND B - COMPLETENESS IN LOCALLY CONVEX ALGEBRAS AND THE E x THEOREM %R %X Let E be a B-complete (B -complete) locally convex algebra and $ the topological direct sum of countably many copies of the scalar field with a jointly continuous algebra multiplication. It has been shown that E is also B-complete (B -complete) for componentwise multiplication on E . B-and Br-completeness of E , the unitization of E, and also of E x for other multiplications on E has been studied. %U https://jsciences.ut.ac.ir/article_31185_a0110ca4fac8d25801f81f0f6efc7b7b.pdf