F*-Rings Are O* |
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| Authors: | Ma Jingjing Wojciechowski Piotr J |
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| Institution: | (1) Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, U.S.A. |
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| Abstract: | O
*-rings were introduced by Fuchs and recently characterized by Steinberg. A ring R is called O
* if every partial order on R extends to a total order. We weaken the condition on the ordering of the ring by requiring that every partial order on R extends to an f-order. We call those rings F
*-rings. We show that the two classes of rings coincide. |
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| Keywords: | F
*-ring lattice-ordered ring O
*-ring |
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