Browse > Article
http://dx.doi.org/10.4134/BKMS.2006.43.2.419

A NOTE ON ASCEND AND DESCEND OF FACTORIZATION PROPERTIES  

Shah Tariq (DEPARTMENT OF MATHEMATICS, QUAID-I-AZAM UNIVERSITY ISLAMABAD)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 419-424 More about this Journal
Abstract
In this paper we extend the study of ascend and descend of factorization properties (for atomic domains, domains satisfying ACCP, bounded factorization domains, half-factorial domains, pre-Schreier and semirigid domains) to the finite factorization domains and idf-domains for domain extension $A\;{\subseteq}\;B$.
Keywords
$condition^*$; FFD; idf-domain;
Citations & Related Records

Times Cited By SCOPUS : 1
연도 인용수 순위
1 D. D. Anderson and D. F. Anderson, Elasticity of factorizations in integral do- mains, J. Pure Appl. Algebra 80 (1992), no. 3, 217-235   DOI   ScienceOn
2 D. D. Anderson, D. F. Anderson, and M. Zafrullah, Factorization in integral domains, II, J. Algebra 152 (1992), no. 1, 78-93   DOI
3 D. D. Anderson, D. F. Anderson, and M. Zafrullah, Factorization in integral domains, J. Pure Appl. Algebra 69 (1990), no. 1, 1-19   DOI   ScienceOn
4 D. D. Anderson and B. Mullinns, Finite Factorization Domains, Proc. Amer. Math. Soc. 124 (1996), no. 2, 389-396
5 P. M. Cohn, Bezout rings and their subrings, Proc. Cambridge Philos. Soc. 64 (1968), 251-264
6 A. Grams, Atomic rings and the ascending chain condition for principal ideals, Proc. Cambridge Philos. Soc. 75 (1974), 321-329
7 N. Radu, S. O. Ibrahim Al-Salihi, and T. Shah, Ascend and descend of factor- ization properties, Rev. Roumaine Math. Pures Appl. 45 (2000), 4, 659-669
8 M. Roitman, Polynomial extensions of atomic domains, J. Pure Appl. Algebra 87 (1993), no. 2, 187-199   DOI   ScienceOn
9 M. Zafrullah, Semirigid GCD domain, Manuscripta Math. 17 (1975), no. 1, 55- 66   DOI
10 A. Zaks, Half factorial domain, Bull. Amer. Math. Soc. 82 (1976), no. 6, 721-723   DOI
11 A. Zaks, Atomic rings without a.c.c. on principal ideals, J. Algebra 74 (1982), no. 1, 223-231   DOI
12 R. Gilmer, Multiplicative Ideal Theory, Marcel Dekker, New York, 1972
13 M. Zafrullah, On a property of pre-Schreier domains, Comm. Algebra 15 (1987), no. 9, 1895-1920   DOI