An effective procedure for minimal bases of ideals in Z[x]

• Autorzy: Luis F. Cáceres-Duque
• Języki publikacji: EN

Abstrakty

EN

We give an effective procedure to find minimal bases for ideals of the ring of polynomials over the integers.

Słowa kluczowe

EN

ideals   minimal bases for ideals   polynomials over integers  

Kategorie tematyczne

• 11Y99: None of the above, but in this section
• 11C08: Polynomials
• 13F20: Polynomial rings and ideals; rings of integer-valued polynomials
• 11A07: Congruences; primitive roots; residue systems

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2003
• Tom: 23
• Numer: 1
• Strony: 5-11

Daty

wydano

2003

otrzymano

2002-04-18

poprawiono

2003-02-12

Twórcy

autor

Luis F. Cáceres-Duque

• Mathematics Department, University of Puerto Rico at Mayagüez, PO BOX 9018 Mayagüez, PR 00681, USA

Bibliografia

• [1] C.W. Ayoub, On Constructing Bases for Ideals in Polynomial Rings over the Integers, J. Number Theory 17 (1983), 204-225.
• [2] L.F. Cáceres-Duque, Ultraproduct of Sets and Ideal Theories of Commutative Rings, Ph.D. dissertation, University of Iowa, Iowa City, IA, 1998.
• [3] C.B. Hurd, Concerning Ideals in Z[x] and Zpn[x], Ph.D. dissertation, Pennsylvania State University, University Park, PA, 1970.
• [4] L. Redei, Algebra, Vol 1, Pergamon Press, London 1967.
• [5] F. Richman, Constructive Aspects of Noetherian Rings, Proc. Amer. Math. Soc. 44 (1974), 436-441.
• [6] H. Simmons, The Solution of a Decision Problem for Several Classes of Rings, Pacific J. Math. 34 (1970), 547-557.
• [7] G. Szekeres, A canonical basis for the ideals of a polynomial domain, Amer. Math. Monthly 59 (1952), 379-386.

Identyfikatory

DOI

10.7151/dmgaa.1059