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References

References. This talk is based primarily on joint work with E. G. Goodaire, which may be found in the following articles: Bol loops of nilpotence class 2, O. Chein and E.G. Goodaire, Canadian Journal of Mathematics, to appear.

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References

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Presentation Transcript

  1. References

  2. This talk is based primarily on joint work with E. G. Goodaire, which may be found in the following articles: • Bol loops of nilpotence class 2, O. Chein and E.G. Goodaire, Canadian Journal of Mathematics, to appear. • A new construction of Bol loops of order 8m, O. Chein and Edgar G. Goodaire, J. Algebra, 287 (1) (2005), 103-122. • Bol loops with a unique nonidentity commutator/associator, O. Chein and Edgar G. Goodaire, submitted. A new construction of Bol loops: The "odd" case, O. Chein and Edgar G. Goodaire, submitted.

  3. Loops Whose Loop Rings are Alternative, O. Chein and E. G. Goodaire, Comm. In Algebra, 14 (1986), pp.293-310. • Moufang Loops with Limited Commutativity and One Commutator, O. Chein and E. G. Goodaire, Arch. der Math. 51 (1988), pp. 92-96. • Moufang Loops with a Unique Nonidentity Commutator (Associator, Square), O. Chein and E. G. Goodaire, J. Algebra 130 (1990), pp. 369-384. • Code Loops are RA2 Loops, O. Chein and E. G. Goodaire, J. Algebra 130 (1990), pp. 385-387. • Loops Whose Loop Rings in Characteristic 2 are Alternative, O. Chein and E. G. Goodaire, Comm. in Algebra 18 (1990), pp. 659-688.

  4. Minimally nonassociative commutative Moufang loops, O. Chein and E. G. Goodaire, Results in Mathematics 39 (2001), pp. 11-17. • Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative, O. Chein and E. G. Goordaire, Commentationes Mathematicae Universitatis Carolinae 43 (2002), pp. 1-8. • Minimally nonassociative nilpotent Moufang loops, O. Chein and E. G. Goodaire, J. Algebra 268(1) (2003), 327-342.

  5. When is an L(B,m,n,r,s,t,z,w) loop SRAR, O. Chein and Edgar G. Goodaire, submitted. SRAR loops with more than two commutator/associators, O. Chein and Edgar G. Goodaire, submitted.

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