SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS

Volume: 10 Number: 10 December 1, 2011
  • Ryûki Matsuda
EN

SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS

Abstract

We characterize when an almost pseudo-valuation domain has a finite number of semistar operations.

Keywords

References

  1. A. Badawi and E. Houston, Powerful ideals, strongly primary ideals, almost pseudo-valuation domains, and conducive domains, Comm. Alg., 30 (2002), 1606.
  2. M. Fontana and K. Loper, Kronecker function rings: a general approach, Ideal Theoretic Methods in Commutative Algebra, Lecture Notes in Pure and Appl. Math., 220, M. Dekker, New York, 2001, 189-205.
  3. M. Fontana and K. Loper, An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations, Multiplicative Ideal Theory in Commutative Algebra, Springer, New York, 2006, 169-187.
  4. R. Gilmer, Multiplicative Ideal Theory, M. Dekker, New York, 1972.
  5. F. Halter-Koch, Ideal Systems: An Introduction to Multiplicative Ideal The- ory, M. Dekker, New York, 1998.
  6. J. Hedstrom and E. Houston, Pseudo-valuation domains, PaciŞc J. Math., 75 (1978), 137-147.
  7. L. Kronecker, Grundz¨uge einer arithmetischen Theorie der algebraischen Gr¨ossen, J. Reine Angew. Math., 92 (1882), 1-122.
  8. W. Krull, Beitr¨age zur Arithmetik kommutativer Integrit¨atesbereiche, Math. Zeit., 41 (1936), 545-577.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Ryûki Matsuda This is me

Publication Date

December 1, 2011

Submission Date

December 1, 2011

Acceptance Date

-

Published in Issue

Year 2011 Volume: 10 Number: 10

APA
Matsuda, R. (2011). SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS. International Electronic Journal of Algebra, 10(10), 37-55. https://izlik.org/JA97NN46AB
AMA
1.Matsuda R. SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS. IEJA. 2011;10(10):37-55. https://izlik.org/JA97NN46AB
Chicago
Matsuda, Ryûki. 2011. “SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS”. International Electronic Journal of Algebra 10 (10): 37-55. https://izlik.org/JA97NN46AB.
EndNote
Matsuda R (December 1, 2011) SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS. International Electronic Journal of Algebra 10 10 37–55.
IEEE
[1]R. Matsuda, “SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS”, IEJA, vol. 10, no. 10, pp. 37–55, Dec. 2011, [Online]. Available: https://izlik.org/JA97NN46AB
ISNAD
Matsuda, Ryûki. “SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS”. International Electronic Journal of Algebra 10/10 (December 1, 2011): 37-55. https://izlik.org/JA97NN46AB.
JAMA
1.Matsuda R. SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS. IEJA. 2011;10:37–55.
MLA
Matsuda, Ryûki. “SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS”. International Electronic Journal of Algebra, vol. 10, no. 10, Dec. 2011, pp. 37-55, https://izlik.org/JA97NN46AB.
Vancouver
1.Ryûki Matsuda. SEMISTAR OPERATIONS ON ALMOST PSEUDO-VALUATION DOMAINS. IEJA [Internet]. 2011 Dec. 1;10(10):37-55. Available from: https://izlik.org/JA97NN46AB