메뉴 건너뛰기




Volumn 26, Issue 2, 1996, Pages 439-480

Factorization in commutative rings with zero divisors

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030489183     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181072068     Document Type: Article
Times cited : (114)

References (47)
  • 1
    • 6944239967 scopus 로고
    • Demi-groupes D-atomiques
    • J.-C. Allard, Demi-groupes D-atomiques, C.R. Acad. Sci. Paris 273 (1971), 661-664.
    • (1971) C.R. Acad. Sci. Paris , vol.273 , pp. 661-664
    • Allard, J.-C.1
  • 2
    • 84972584617 scopus 로고
    • The Krull intersection theorem
    • D.D. Anderson, The Krull intersection theorem, Pacific J. Math. 57 (1975), 11-14.
    • (1975) Pacific J. Math. , vol.57 , pp. 11-14
    • Anderson, D.D.1
  • 3
    • 0001282327 scopus 로고
    • Some finiteness conditions on a commutative ring
    • _, Some finiteness conditions on a commutative ring, Houston J. Math. 4 (1978), 289-299.
    • (1978) Houston J. Math. , vol.4 , pp. 289-299
  • 4
    • 84966231611 scopus 로고
    • Globalization of some local properties in Krull domains
    • _, Globalization of some local properties in Krull domains, Proc. Amer. Math. Soc. 85 (1982), 141-145.
    • (1982) Proc. Amer. Math. Soc. , vol.85 , pp. 141-145
  • 5
    • 38249008911 scopus 로고
    • Elasticity of factorizations in integral domains
    • D.D. Anderson and D.F. Anderson, Elasticity of factorizations in integral domains, J. Pure Appl. Algebra 80 (1992), 217-235.
    • (1992) J. Pure Appl. Algebra , vol.80 , pp. 217-235
    • Anderson, D.D.1    Anderson, D.F.2
  • 8
    • 38249009490 scopus 로고
    • Factorization in integral domains, II
    • _, Factorization in integral domains, II, J. Algebra 152 (1992), 78-93.
    • (1992) J. Algebra , vol.152 , pp. 78-93
  • 9
    • 0000497742 scopus 로고
    • Atomic domains in which almost all atoms are prime
    • _, Atomic domains in which almost all atoms are prime, Comm. Alg. 20 (1992), 1447-1462.
    • (1992) Comm. Alg. , vol.20 , pp. 1447-1462
  • 10
    • 0039108302 scopus 로고
    • Unique factorization rings with zero divisors
    • D.D. Anderson and R. Markanda, Unique factorization rings with zero divisors, Houston J. Math. 11 (1985), 15-30.
    • (1985) Houston J. Math. , vol.11 , pp. 15-30
    • Anderson, D.D.1    Markanda, R.2
  • 11
    • 0039108302 scopus 로고
    • Unique factorization rings with zero divisors: Corrigendum
    • _, Unique factorization rings with zero divisors: Corrigendum, Houston J. Math. 11 (1985), 423-426.
    • (1985) Houston J. Math. , vol.11 , pp. 423-426
  • 12
    • 0001264107 scopus 로고
    • Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
    • D.D. Anderson and J. Mott, Cohen-Kaplansky domains: integral domains with a finite number of irreducible elements, J. Algebra 148 (1992), 17-41.
    • (1992) J. Algebra , vol.148 , pp. 17-41
    • Anderson, D.D.1    Mott, J.2
  • 13
    • 6944253474 scopus 로고
    • Unique factorization in the integers modulo n
    • M. Billis, Unique factorization in the integers modulo n, Amer. Math. Monthly 75 (1968), 527.
    • (1968) Amer. Math. Monthly , vol.75 , pp. 527
    • Billis, M.1
  • 14
    • 6944237189 scopus 로고
    • Demi-groupes de type (R). Demi-groupes commutatifs à factorisation unique
    • A. Bouvier, Demi-groupes de type (R). Demi-groupes commutatifs à factorisation unique, C.R. Acad. Sci. Paris 268 (1969), 372-375.
    • (1969) C.R. Acad. Sci. Paris , vol.268 , pp. 372-375
    • Bouvier, A.1
  • 15
    • 6944244811 scopus 로고
    • Demi-groupes de type (R)
    • _, Demi-groupes de type (R), C.R. Acad. Sci. Paris 270 (1969), 561-563.
    • (1969) C.R. Acad. Sci. Paris , vol.270 , pp. 561-563
  • 16
    • 6944233598 scopus 로고
    • Factorisation dans les demi-groupes
    • _, Factorisation dans les demi-groupes, C.R. Acad. Sci. Paris 271 (1970), 533-535.
    • (1970) C.R. Acad. Sci. Paris , vol.271 , pp. 533-535
  • 17
    • 6944235867 scopus 로고
    • Factorisation dons les demi-groupes de fractions
    • _, Factorisation dons les demi-groupes de fractions, C.R. Acad. Sci. Paris 271 (1970), 924-925.
    • (1970) C.R. Acad. Sci. Paris , vol.271 , pp. 924-925
  • 18
    • 5644295760 scopus 로고
    • Anneaux présimplifiables et anneaux atomiques
    • _, Anneaux présimplifiables et anneaux atomiques, C.R. Acad. Sci. Paris 272 (1971), 992-994.
    • (1971) C.R. Acad. Sci. Paris , vol.272 , pp. 992-994
  • 19
    • 6944226320 scopus 로고
    • Anneaux de Gauss
    • _, Anneaux de Gauss, C.R. Acad. Sci. Paris 273 (1971), 443-445.
    • (1971) C.R. Acad. Sci. Paris , vol.273 , pp. 443-445
  • 20
    • 5644261453 scopus 로고
    • Sur les anneaux de fractions des anneaux atomiques présimplifiables
    • _, Sur les anneaux de fractions des anneaux atomiques présimplifiables, Bull. Sci. Math. 95 (1971), 371-377.
    • (1971) Bull. Sci. Math. , vol.95 , pp. 371-377
  • 21
    • 6944253475 scopus 로고
    • Remarques sur la facatorisation dans les anneaux commutatifs
    • _, Remarques sur la facatorisation dans les anneaux commutatifs, Pub. Dépt. Math. Lyon 8 (1971), 1-18.
    • (1971) Pub. Dépt. Math. Lyon , vol.8 , pp. 1-18
  • 22
    • 5644251857 scopus 로고
    • Anneaux présimplifiable
    • _, Anneaux présimplifiable, C.R. Acad. Sci. Paris 274 (1972), 1605-1607.
    • (1972) C.R. Acad. Sci. Paris , vol.274 , pp. 1605-1607
  • 23
    • 5644270121 scopus 로고
    • Résultats nouveaux sur les anneaux présimplifiables
    • _, Résultats nouveaux sur les anneaux présimplifiables, C.R. Acad. Sci. Paris 275 (1972), 955-957.
    • (1972) C.R. Acad. Sci. Paris , vol.275 , pp. 955-957
  • 24
    • 5644274086 scopus 로고
    • Anneaux présimplifiables
    • _, Anneaux présimplifiables, Rev. Roum. Math. Pure et Appl. 29 (1974), 713-724.
    • (1974) Rev. Roum. Math. Pure et Appl. , vol.29 , pp. 713-724
  • 25
    • 0040633643 scopus 로고
    • Structure des anneaux à factorisation unique
    • _, Structure des anneaux à factorisation unique, Pub. Dépt. Math. Lyon 11 (1974), 39-49.
    • (1974) Pub. Dépt. Math. Lyon , vol.11 , pp. 39-49
  • 26
    • 6944221301 scopus 로고
    • Sur les anneaux principaux
    • _, Sur les anneaux principaux, Acta. Math. Sci. Hung. 27 (1976), 231-242.
    • (1976) Acta. Math. Sci. Hung. , vol.27 , pp. 231-242
  • 27
    • 84968501830 scopus 로고
    • Polynomial rings over Goldie rings are often Goldie
    • V. Camille and R. Guralnick, Polynomial rings over Goldie rings are often Goldie, Proc. Amer. Math. Soc. 98 (1986), 567-568.
    • (1986) Proc. Amer. Math. Soc. , vol.98 , pp. 567-568
    • Camille, V.1    Guralnick, R.2
  • 28
    • 84971195105 scopus 로고
    • Unique factorization rings
    • C.R. Fletcher, Unique factorization rings, Proc. Camb. Phil. Soc. 65 (1969), 579-583.
    • (1969) Proc. Camb. Phil. Soc. , vol.65 , pp. 579-583
    • Fletcher, C.R.1
  • 29
    • 84972343700 scopus 로고
    • The structure of unique factorization rings
    • _, The structure of unique factorization rings, Proc. Camb. Phil. Soc. 67 (1970), 535-540.
    • (1970) Proc. Camb. Phil. Soc. , vol.67 , pp. 535-540
  • 30
    • 6944250285 scopus 로고
    • Euclidean rings
    • _, Euclidean rings, J. London Math. Soc. 41 (1971), 79-82.
    • (1971) J. London Math. Soc. , vol.41 , pp. 79-82
  • 31
    • 0040633644 scopus 로고
    • Unique factorization rings with zero divisors
    • S. Galovich, Unique factorization rings with zero divisors, Math. Magazine 51 (1978), 276-283.
    • (1978) Math. Magazine , vol.51 , pp. 276-283
    • Galovich, S.1
  • 33
    • 84976048304 scopus 로고
    • Atomic domains and the ascending chain condition for principal ideals
    • A. Grams, Atomic domains and the ascending chain condition for principal ideals, Proc. Camb. Phil. Soc. 75 (1974), 321-329.
    • (1974) Proc. Camb. Phil. Soc. , vol.75 , pp. 321-329
    • Grams, A.1
  • 34
    • 0001308155 scopus 로고
    • Commutative rings and ACC on n-generated ideals
    • W. Heinzer and D. Lantz, Commutative rings and ACC on n-generated ideals, J. Algebra 80 (1983), 261-278.
    • (1983) J. Algebra , vol.80 , pp. 261-278
    • Heinzer, W.1    Lantz, D.2
  • 38
    • 51249183385 scopus 로고
    • Very long chains of annihilator ideals
    • J.W. Kerr, Very long chains of annihilator ideals, Israel J. Math. 47 (1983), 197-204.
    • (1983) Israel J. Math. , vol.47 , pp. 197-204
    • Kerr, J.W.1
  • 40
    • 0039700446 scopus 로고
    • Generalizations of multiplicative ideal theory to rings with zero divisors
    • _, Generalizations of multiplicative ideal theory to rings with zero divisors, Bull. Fac. Sci. Ibaraki Univ. Ser. A. Math. 17 (1985), 49-101.
    • (1985) Bull. Fac. Sci. Ibaraki Univ. Ser. A. Math. , vol.17 , pp. 49-101
  • 41
    • 35448993059 scopus 로고
    • Über die produktzerlegung der hauptideal I
    • S. Mori, Über die produktzerlegung der hauptideal I, J. Sci. Hiroshima Univ. 8 (1938), 7-13.
    • (1938) J. Sci. Hiroshima Univ. , vol.8 , pp. 7-13
    • Mori, S.1
  • 42
    • 6944234930 scopus 로고
    • Über die produktzerlegung der hauptideal II
    • _, Über die produktzerlegung der hauptideal II, J. Sci. Hiroshima Univ. 9 (1939), 145-155.
    • (1939) J. Sci. Hiroshima Univ. , vol.9 , pp. 145-155
  • 43
    • 6944252096 scopus 로고
    • Über die produktzerlegung der hauptideal III
    • _, Über die produktzerlegung der hauptideal III, J. Sci. Hiroshima Univ. 10 (1940), 85-94.
    • (1940) J. Sci. Hiroshima Univ. , vol.10 , pp. 85-94
  • 44
    • 35448993059 scopus 로고
    • Über die produktzerlegung der hauptideal IV
    • _, Über die produktzerlegung der hauptideal IV, J. Sci. Hiroshima Univ. 11 (1941), 7-14.
    • (1941) J. Sci. Hiroshima Univ. , vol.11 , pp. 7-14
  • 45
    • 38249000870 scopus 로고
    • Polynomial extensions of atomic domains
    • M. Roitman, Polynomial extensions of atomic domains, J. Pure Appl. Algebra 87 (1993), 187-199
    • (1993) J. Pure Appl. Algebra , vol.87 , pp. 187-199
    • Roitman, M.1
  • 46
    • 0000743607 scopus 로고
    • About Euclidean rings
    • P. Samuel, About Euclidean rings, J. Algebra 19 (1971), 282-301.
    • (1971) J. Algebra , vol.19 , pp. 282-301
    • Samuel, P.1
  • 47
    • 0001233738 scopus 로고
    • Atomic rings without a.c.c. on principal ideals
    • A. Zaks, Atomic rings without a.c.c. on principal ideals, J. Algebra 74 (1982), 223-231.
    • (1982) J. Algebra , vol.74 , pp. 223-231
    • Zaks, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.