By Irena Swanson
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Extra resources for Three lectures [Lecture notes]
I. Ojeda, Binomial canonical decompositions of binomial ideals, Comm. Algebra 39 (2011), 3722–3735. I. Ojeda and R. Piedra-S´anchez, Canonical decomposition of polynomial ideals. pdf (unpublished preprint, 1999). 34 19. 20. 21. 22. 23. 24. 25. Chapter 3: Primary decomposition in algebraic statistics I. Ojeda and R. Piedra-S´anchez, Index of nilpotency of binomial ideals, J. Algebra 255 (2002), 135–147. V. Ortiz, Sur une certaine decomposition canonique d’un id´eal en intersection d’id´eaux primaires dans un anneau noetherien commutatif, C.
Kybernetika (Prague) Suppl. 25 (1989), no. 1-3, 72–79. I. Swanson and A. AC/11075604. J. Algebra 392 (2013), 299–314. J. von zur Gathen and J. Gerhard, Modern computer algebra. Second edition. Cambridge University Press, Cambridge, 2003. Y. Yao, Primary decomposition: compatibility, independence and linear growth, Proc. Amer. Math. Soc. 130 (2002), 1629–1637.
Bm . You get bonus points for accomplishing the task in few moves. I envision users all over the world solving instances of this while waiting for the bus or in the coffee shop, and they could be competing for the shortest number of moves, with possibly short answers being transmitted to some central station. 33 References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. N. Ay and J. 1338. W. Bruns and U. Vetter, Determinantal Rings, Lecture Notes in Mathematics no. 1327, Springer-Verlag, 1988.