The flatness properties of <Emphasis Type="Italic">S</Emphasis>-poset <Emphasis Type="Italic">A</Emphasis>(<Emphasis Type="Italic">I</Emphasis>) and Rees factor <Emphasis Type="Italic">S</Emphasis>-posets |
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Authors: | Husheng Qiao Fang Li |
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Institution: | (1) Department of Mathematics, Northwest Normal University, Lanzhou, 730070, Gansu, China;(2) Department of Mathematics, Zhejiang University, Hangzhou, 310027, Zhejiang, China |
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Abstract: | Let S be a pomonoid and I a proper right ideal of S. In a previous paper, using the amalgamated coproduct A(I) of two copies of
S
S over I, we were able to solve one of the problems posed in S. Bulman-Fleming et al. (Commun. Algebra 34:1291–1317, 2006). In the present paper, we investigate further flatness properties of A(I). We also solve another problem stated in the paper cited above. Namely, we determine the condition under which Rees factor
S-posets have property (P
w
).
Research supported by nwnu-kjcxgc-03-18. |
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Keywords: | Flatness property S-poset A(I) Rees factor S-posets |
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