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- W3035990272 abstract "In this paper, new and significant advances on the understanding the structure of p.p. rings and their generalizations have been made. Especially among them, it is proved that a commutative ring $R$ is a generalized p.p. ring if and only if $R$ is a generalized p.f. ring and its minimal spectrum is Zariski compact, or equivalently, $R/mathfrak{N}$ is a p.p. ring and $R_{mathfrak{m}}$ is a primary ring for all $mathfrak{m}inrm{Max}(R)$. Some of the major results of the literature either are improved or are proven by new methods. In particular, we give a new and quite elementary proof to the fact that a commutative ring $R$ is a p.p. ring if and only if $R[x]$ is a p.p. ring." @default.
- W3035990272 created "2020-06-25" @default.
- W3035990272 creator A5087554719 @default.
- W3035990272 date "2020-01-28" @default.
- W3035990272 modified "2023-09-27" @default.
- W3035990272 title "Structure theory of p.p. rings and their generalizations" @default.
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