(Homo) Flatness of posets on poideal extensions |
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Authors: | Akbar Golchin Parisa Rezaei |
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Institution: | (1) Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran |
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Abstract: | We consider pomonoids
, where G is a pogroup and I is a poideal of S and show that if an S-poset is principally weakly flat, (weakly) flat, po-flat, (principally) weakly po-flat, (po-) torsion free or satisfies Conditions
(P), (P
E
), (P
w
), (PWP), (PWP)
w
, (WP) or (WP)
w
as an I
1-poset, then it has these properties as an S-poset. We also show that an S-poset which is free, projective or strongly flat as an I
1-poset may not generally have these properties as an S-poset. |
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Keywords: | Pomonoid S-poset I 1-poset |
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