David Rush Publications
Technical Publications
Journal Articles
1. Ohm, J., Rush, D. 1971. "The Finiteness of I when R(X)/I is Flat". Bulletin of the American Mathematical Society. p.793-796. (Refereed)
2. Cox, Jr, S., Rush, D. 1972. "Endomorphisms of Finite Rank Flat Modules". Duke Mathematical Journal. p.323-326. (Refereed)
3. Ohm, J., Rush, D. 1972. "The Finiteness of I when R(X)/I is flat". American Mathematical Society. p.377-408. (Refereed)
4. Ohm, J., Rush, D. 1972. "Content Modules and Algebras". Math. Scand. p.49-68. (Refereed)
5. Rush, D. 1974. "The G-function of MacRae". The Canadian Journal of Mathematics. p.854-865. (Refereed)
6. Cox, Jr, S., Rush, D. 1974. "Finiteness in Flat Modules and Algebras". Journal of Algebra. p.44-50. (Refereed)
7. Rush, D. 1976. "Remarks on Flat Modules". Michigan Mathematical Journal. p.193-201. (Refereed)
8. Rush, D. 1977. "Some Applications of Griffith's Basic Submodules". Journal of Pure and Applied Algebra. p.41-44. (Refereed)
9. Ratliff, Jr., L.J., Rush, D. 1977. "Notes on Ideal Covers and Associated Primes". Pacific Journal of Mathematics. p.169-191. (Refereed)
10. McAdam, S., Rush, D. 1978. "Schreier Rings". Bull. London Math. Soc. p.77-80. (Refereed)
11. Rush, D. 1978. "Content Algebras". Canad. Math. Bull. p.329-334. (Refereed)
12. Ratliff, Jr., L.J., Rush, D. 1978. "Two Notes on Reductions of Ideals". Indiana University Mathematics Journal. p.929-934. (Refereed)
13. Rush, D. 1979. "Pic(R) and the R-Flatness of R(X)/I". Journal of Pure and Applied Algebra. p.307-310. (Refereed)
14. Rush, D. 1980. "Big Cohen-Macaulay Modules". Illinois Journal of Mathematics. p.606-611. (Refereed)
15. Rush, D. 1980. "Seminormality". Journal of Algebra. p.377-384. (Refereed)
16. Rush, D. 1982. "Picard Groups in Abelian Group Rings". Journal of Pure and Applied Algebra. p.101-114. (Refereed)
17. Rush, D. 1983. "Rings which Resemble Rings of Entire Functions". Glasgow Math. J. p.7-16. (Refereed)
18. Rush, D. 1983. "The equation Xk + Yk = Zk in Commuting Rational Matrices". Canad. Math. Bull. p.406-409. (Refereed)
19. Rush, D. 1983. "An arithmetic characterization of algebraic number fields with a given class group". Math. Proc. Camb. Phil. Soc. p.23-28. (Refereed)
20. Iroz, J., Rush, D. 1984. "Associated Prime Ideals in Non-Noetherian Rings". Canad. J. Math. p.344-360. (Refereed)
21. Rush, D. 1985. "Generating Ideals in Rings of Integer-Valued Polynomials". Journal of Algebra. p.389-394. (Refereed)
22. Rush, D. 1988. "Reflexive D-Rings". Journal of Algebra. p.81-88. (Refereed)
23. Ratliff, Jr., L.J., Rush, D. 1988. "Note on I-Good Filtrations and Noetherian Rees Rings". Communications in Algebra. p.955-975. (Refereed)
24. Rush, D. 1988. "Integrally Closed Torsionless Rings". Canad. Math. Bull. p.215-216. (Refereed)
25. Rush, D. 1988. "Torsionfree Modules Over One-Dimensional Noetherian Rings". Journal of Pure and Applied Algebra. p.133-146. (Refereed)
26. Mirbagheri, A., Ratliff, Jr., L.J., Rush, D. 1989. "Superficial Sets of Elements for Sets of Ideals". Communications in Algebra. p.3087-3108. (Refereed)
27. Bishop, W., Petro, J.W., Ratliff, Jr., L.J., Rush, D. 1989. "Note on Noetherian Filtrations". Communications in Algebra. p.471-485. (Refereed)
28. Rush, D. 1991. "Rings with two-generated ideals". Journal of Pure and Applied Algebra. p.257-275. (Refereed)
29. Ratliff, Jr., L.J., Rush, D. 1991. "Note on Divisorial Sets of Elements for Sets of Ideals". Communications in Algebra. p.223-248. (Refereed)
30. Okon, J.S., Rush, D., Vicknair, P. 1992. "Commutative Semigroup Rings with Two-Generated Ideals". J. London Math. Soc. p.417-432. (Refereed)
31. Rush, D. 1992. "Asymptotic Primes and Integral Closure in Modules". Quarterly J. Math. Oxford. p.477-499. (Refereed)
32. Rush, D. 1992. "Artin Rings with Two-Generated Ideals". Canad. Math. Bull. p.133-135. (Refereed)
33. Ratliff, Jr, L., Rush, D. 1993. "Δ-Reductions of Modules". Communications in Algebra. p.2667-2685. (Refereed)
34. Rush, D. 1995. "Two-Generated Ideals and Representations of Abelian Groups over Valuation Rings". Journal of Algebra. p.77-101. (Refereed)
35. Okon, J.S., Rush, D., Vicknair, P. 1996. "Two-generated ideals in non-Noetherian semigroup rings". Journal of Pure and Applied Algebra. p.255-276. (Refereed)
36. Okon, J.S., Rush, D., Vicknair, P. 1997. "Numbers of Generators of Ideals in Zero-Dimensional Group Rings". Communications in Algebra. p.803-831. (Refereed)
37. Rush, D. 1997. "Generating Ideals Up to Radical in Noetherian Polynomial Rings". Communications in Algebra. p.2169-2191. (Refereed)
38. Rush, D. 1998. "The conditions Int(R)_ (Rs) = Int(R)s for integer-valued polynomials". Journal of Pure and Applied Algebra. p.287-303. (Refereed)
39. Rush, D. 1999. "Generating Ideals in Rings of Integer-Valued Polynomials". Canad. Math. Bull. p.231-236. (Refereed)
40. Ratliff, Jr, L., Rush, D. 1999. "Triangular powers of integers from determinants of binomial coefficient matrices". J. Linear Alg. and Applications. p.125-142. (Refereed)
41. Ratliff, Jr, L., Rush, D. 1999. "A Bracket Power Characterization of Analytic Spread One Ideals". Transactions of the American Mathematical Society. p.1647-1674. (Refereed, Electronic)
42. Rush, D. 2000. "The Dedekind-Mertens Lemma and the Contents of Polynomials". Proceedings of the American Mathematical Society. p.2879-2884. (Refereed, Electronic)
43. Okon, J., Rush, D. 2000. "Numbers of Generators of Ideals in a Group Ring of an Elementary Abelian p-Group". Journal of Algebra. p.1-22. (Refereed)
44. Okon, J., Rush, D., Vicknair, J. Paul 2000. "Numbers of Generators of Ideals in a Group Ring of an Elementary Abelian p-Group". Journal of Algebra. p.1-22. (Refereed)
45. Rush, D. 2001. "Bezout domains with stable range 1". Journal of Pure and Applied Algebra. p.309-324. (Refereed)
46. Rush, D., Wallace, L. 2002. "Noetherian Maximal Spectrum and Coprimely Packed Localizations of Polynomial Rings". Houston Journal of Mathematics. p.437-448. (Refereed)
47. Heinzer, W., Ratliff, Jr, L., Rush, D. 2002. "Strongly irreducible ideals of a commutative ring". Journal of Pure and Applied Algebra. p.267-275. (Refereed)
48. Ratliff, Jr., L.J., Rush, D. 2002. "Asymptotic Primes of Delta Closures of Ideals". Communications in Algebra. p.1513-1531. (Refereed)
49. Heinzer, W., Ratliff, Jr, L., Rush, D. 2002. "Basically Full Ideals in Local Rings". Journal of Algebra. p.371-396. (Refereed)
50. Okon, J., Rush, D. 2002. "Generating Ideals in Commutative Artinian Group Rings and a Generalized Pascal's Triangle". Communications in Algebra. p.5595-5607. (Refereed)
51. Heinzer, W., Li, A., Ratliff, Jr, L., Rush, D. 2002. "Monoidal Extensions of a Cohen-Macaulay Unique Factorization Domain". Transactions of the American Mathematical Society. p.1811-1835. (Refereed, Electronic)
52. Rush, D. 2003. "Noetherian properties in monoid rings". Journal of Pure and Applied Algebra. p.259-278. (Refereed)
53. Ratliff, Jr, L., Rush, D. 2003. "Two notes on homogeneous prime ideals in graded Noetherian rings". Journal of Algebra. p.211-230. (Refereed)
54. Rush, D. 2003. "Quadratic Polynomials, Factorization in Integral Domains and Schreier Domains from Pullbacks". Mathematika. p.103-112. (Refereed)
55. Ciuperca, C., Heinzer, W., Ratliff, Jr, L., Rush, D. 2004. "Projectively equivalent ideals and Rees valuations". Journal of Algebra. p.140-156. (Refereed)
56. Ratliff, Jr, L., Rush, D., Shah, K. 2004. "Note on Cyclotomic Polynomials and Prime Ideals". Communications in Algebra. p.333-343. (Refereed)
57. Ratliff, Jr, L., Rush, D. 2004. "Symmetric Reductions". Communications in Algebra. p.3189-3213. (Refereed)
58. Brookfield, G., Rush, D. 2005. "When graded domains are Schreier or pre-Schreir". Journal of Pure and Applied Algebra. p.225-230. (Refereed)
59. Culhan, D., Rush, D. 2005. "Primal decomposition in rings, modules and lattice modules". Algebra Universalis. p.167-184. (Refereed)
60. Okon, J., Rush, D., Wallace, L. 2005. "A Mori-Nagata Theorem for Lattices and Graded Rings". Houston Journal of Mathematics. p.973-997. (Refereed)
61. Ciuperca, C., Heinzer, W., Ratliff, Jr, L., Rush, D. 2006. "Projectively full ideals in Noetherian rings". Journal of Algebra. p.73-93. (Refereed)
62. Ratliff, Jr, L., Rush, D., Shah, K. 2006. "Power integral bases for Selmer-like number fields". Journal of Number Theory. p.90-113. (Refereed)
(In Press)
1. Ciuperca, C., Heinzer, W., Ratliff, Jr, L., Rush, D. "Projectively full ideals in Noetherian rings (II)". Journal of Algebra. (Accepted 01/18/2005. 29 manuscript pages.) (Refereed)
2. Okon, J., Rush, D., Wallace, L. "A Mori-Nagata Type Theorem for Seminormal Mori Lattices". Houston Journal of Mathematics. (Accepted 08/26/2005. 19 manuscript pages.) (Refereed)
3. Brookfield, G., Rush, D. "Convex Polytopes and Factorization Properties in Generalized Power Series Domains". Rocky Mountain J. of Math. (Accepted 04/18/2006. 10 manuscript pages.) (Refereed)
4. Rush, D. "Rees valuations and asymptotic primes of rational powers in Noetherian rings and lattices". Journal of Algebra. (Accepted 08/30/2006. 35 manuscript pages.) (Refereed)