On some properties of polynomial rings.
Two properties of the power series ring.
Exchange PF-rings and almost PP-rings.
Some properties of strongly normal lattices
Some properties of the ideal of continuous functions with pseudocompact support.
Characterizing symmetric diametrical graphs of order 12 and diameter 4.
Topological characterization of certain classes of lattices
Exchange PF-rings and almost PP-rings
Conditions under which and are almost Q-rings
All rings considered in this paper are assumed to be commutative with identities. A ring is a -ring if every ideal of is a finite product of primary ideals. An almost -ring is a ring whose localization at every prime ideal is a -ring. In this paper, we first prove that the statements, is an almost -ring and is an almost -ring are equivalent for any ring . Then we prove that under the condition that every prime ideal of is an extension of a prime ideal of , the ring is a (an almost)...
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