| Local R0-algebras are defined and studied. The following statements are proved to be equivalent: (i) R0-algebra L is local; (ii) ?x∈L, either ord(i) <∞ or ord(-x) <∞; (iii) Every proper filter is primary. Moreover, it is proved that each R0-algebra is a subdu-ect product of the local R0-algebras. |
