5,739 research outputs found
IMPLICATIONS OF EVOLVING TECHNOLOGY FOR AMERICAN AGRICULTURE
Research and Development/Tech Change/Emerging Technologies,
PERSPECTIVES ON CONSUMERS, INDUSTRY, AND REGULATIONS IN THE FOOD SECTOR
Agricultural and Food Policy, Consumer/Household Economics,
Finite Bruck loops
Bruck loops are Bol loops satisfying the automorphic inverse property. We prove a structure theorem for finite Bruck loops X, showing that X is essentially the direct product of a Bruck loop of odd order with a 2-element Bruck loop. The former class of loops is well understood. We identify the minimal obstructions to the conjecture that all finite 2-element Bruck loops are 2-loops, leaving open the question of whether such obstructions actually exist
Axioms for trimedial quasigroups
We give new equations that axiomatize the variety of trimedial quasigroups.
We also improve a standard characterization by showing that right semimedial,
left F-quasigroups are trimedial.Comment: 6 pages, AMS-LaTeX. To appear in Comment. Math. Univ. Carolinae. for
a special issue: the Proceedings of Loops03. Version 3: the proof of the main
result is collected together more formally; other stylistic change
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