A new generalization of Moulton affine planes |
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| Authors: | Jan Jakóbowski |
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| Institution: | (1) Department of Mathematics, Pedagogical College, ul. Żolnierska 14, 10-561 Olsztyn, Poland |
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| Abstract: | We consider a variation on W. A. Pierce's construction of Moulton planes. For any pseudo-ordered fieldF, the pairs of elements ofF are taken as points, and straight lines are given by the equationsx=c,y=mx+n withm≥0 andg(y=mf(x)+n withm < 0, wheref andg are mappings ofF into itself which have to satisfy a number of conditions. |
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