Supplemental Files

J.D. Phillips

 

 

 

 

(1) The Moufang laws, global and local, The Journal of Algebra and its Applications, 8 (4), (2009) 477–492.

 

(1)  Here are the prover9 input files to the fact cited immediately after Example 3.1. Here are the Prover9 output files to the same result.

 

(2) Here is the Cayley table to the 36 element loop from Example 3.10.

 

(3) Here are the two Prover9 input files (the other two are mirrors) for Theorem 4.1. Here are the Prover9 output files to the same results.

 

(4) Here are the three Prover9 input files for Theorem 4.4. Here are the Prover9 output files to the same result.

 

(5) Here are the Prover9 input files for Theorem 5.2. Here are the Prover9 output files to the same result.

 

(6) Here are the Prover9 input files for Theorem 5.9. Here are the Prover9 output files to the same result.

 

(7) Here are the Prover9 input files for Theorem 5.12. Here are the Prover9 output files to the same result.

 

(8) Here is the Prover9 input file for Theorem 6.2. Here is the Prover9 output file to the same result.

 

(9) Here are the Prover9 input files for Lemma 6.3. Here are the Prover9 output files to the same result.

 

 

(2) Bruck loops with abelian inner mapping groups, with David Stanovsky, Communications in Algebra, , (40), (2012) no. 7, 2449–2454.

 

         All relevant Waldmeister files may be found here.

 

 

(3) Cheban loops, with Victor Shcherbacov, Journal of Generalized Lie Theory and Applications, 4, (2010), Art. ID G100501, 5 pp.

 

(1)  Here is the prover9 input file accompanying Theorem 3.3. Here is the prover9 output file for this result.

 

(2) Here are the prover9 input files for Theorem 3.5. Here is the prover9 output file for this result.

 

(3) Here are the prover9 input files for Lemma 3.5. Here is the prover9 output file for this result.

 

(4) Here are the prover9 input files for Theorem 3.9. Here is the prover9 output file for this result.

 

 

(4) Moufang Magmas with Inverses, The Journal of Algebra and its Applications, (13), (2014) no. 3, 1350104.

 

(1) Here is the prover9 output file for this result.

 

 

(4) The Commingling of commutativity and associativity in Bol loops, submitted.

 

(1)  Here are the Prover9 input files for Theorem 2.2. Here are the Prover9 output files to this result.

 

(2)  Here are the Prover9 input files for Lemma 3.5. Here are the Prover9 output files to this result.

 

(3)  Here are the Prover9 input files for Theorem 4.1. Here are the Prover9 output files to this result.

 

(4)  Here are the Prover9 input files for Theorem 4.2. Here are the Prover9 output files to this result.

 

(5)  Here are the Prover9 input files for (1) in Theorem 4.3. Here are the Prover9 output files to this result.

 

(6)  Here are the Prover9 input files for (2) in Theorem 4.3. Here are the Prover9 output files to this result.

 

(7)  Here are the Prover9 input files for Theorem 4.4. Here are the Prover9 output files to this result.

 

(8)  Here are the Prover9 input files for Theorem 5.1. Here are the Prover9 output files to this result.

 

(9)  Here are the Prover9 input files for Theorem 5.2. Here are the Prover9 output files to this result.

 

(10)                Here are the Prover9 input files for Theorem 5.4. Here are the Prover9 output files to this result.

 

(11)               Here are the Prover9 input files for Theorem 5.7. Here are the Prover9 output files to this result.

 

(12)               Here is the Prover9 input file for Theorem 5.8. Here is the Prover9 output file to these two results.

 

(13)               Here are the Prover9 input files for the first remark after Problem 5.11. Here are the Prover9 output files to this result.

 

(14)               Here are the Prover9 input files for Theorem 6.1. Here are the Prover9 output files to this result.

 

(15)               Here are the Prover9 input files for Theorem 6.2. Here are the Prover9 output files to this result.

 

(16)               Here are the Prover9 input files for Theorem 6.3. Here are the Prover9 output files to this result.

 

(17)               Here are the Prover9 input files for Theorem 6.4. Here are the Prover9 output files to this result.