Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains

• Autorzy: Ahmed Ayache , Hanen Monceur
• Języki publikacji: EN

Abstrakty

EN

We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.

Kategorie tematyczne

• 13F15: Rings defined by factorization properties (e.g., atomic, factorial, half-factorial)
• 13F20: Polynomial rings and ideals; rings of integer-valued polynomials
• 13A05: Divisibility; factorizations
• 13A15: Ideals; multiplicative ideal theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 1
• Strony: 11-19

Daty

wydano

2011

Twórcy

autor

Ahmed Ayache

• Department of Mathematics, Faculty of Science, University of Sana'a, P.O. Box 12460, Sana'a, Yemen

autor

Hanen Monceur

• Department of Mathematics, Faculty of Science, University of Sfax, P.O. Box 1171, 3000 Sfax, Tunisia

Identyfikatory

DOI

10.4064/cm122-1-2