On Commutative Reduced Baer Rings
نویسندگان: ثبت نشده
چکیده مقاله:
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.
منابع مشابه
on commutative reduced baer rings
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.
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عنوان ژورنال
دوره 15 شماره 4
صفحات -
تاریخ انتشار 2004-12-01
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