The p.p. property of trivial extensions
2015 ◽
Vol 14
(08)
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pp. 1550124
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Keyword(s):
In this note, a necessary and sufficient condition for a trivial extension to be a left p.p.-ring is obtained. As an application, we determine when a trivial Morita context is a left p.p.-ring, and a result of Xue [On p.p. rings, Kobe J. Math. 7 (1990) 77–80] characterizing triangular p.p.-rings follows immediately.
1993 ◽
Vol 47
(1)
◽
pp. 95-100
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2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
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