University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 15 4 2004 12 01 On Commutative Reduced Baer Rings - 31616 EN Journal Article It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a principal ideal generated by an idempotent. https://jsciences.ut.ac.ir/article_31616_fd982f3faf6faa7b8049fcb713afb2b7.pdf