메뉴 건너뛰기




Volumn 107, Issue 3, 2005, Pages 207-224

Polynomial extensions of quasi-Baer rings

Author keywords

( , ) compatible rings; Armendariz rings; Baer rings; Quasi Baer rings; Skew polynomial rings

Indexed keywords


EID: 17744379425     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10474-005-0191-1     Document Type: Article
Times cited : (181)

References (28)
  • 1
    • 22044453683 scopus 로고    scopus 로고
    • Armendariz rings and Gaussian rings
    • D. D. Anderson and V. Camillo, Armendariz rings and Gaussian rings, Comm. Algebra, 26 (1998), 2265-2275.
    • (1998) Comm. Algebra , vol.26 , pp. 2265-2275
    • Anderson, D.D.1    Camillo, V.2
  • 2
    • 0035999240 scopus 로고    scopus 로고
    • Associated primes over skew polynomials rings
    • S. Annin, Associated primes over skew polynomials rings, Comm. Algebra, 30 (2002), 2511-2528.
    • (2002) Comm. Algebra , vol.30 , pp. 2511-2528
    • Annin, S.1
  • 3
    • 0001304083 scopus 로고
    • A note on extensions of Baer and p.p.-rings
    • E. P. Armendariz, A note on extensions of Baer and p.p.-rings, J. Austral Math. Soc., 18 (1974), 470-473.
    • (1974) J. Austral Math. Soc. , vol.18 , pp. 470-473
    • Armendariz, E.P.1
  • 6
    • 0013456503 scopus 로고    scopus 로고
    • On polynomial extensions of principally quasi-Baer rings
    • G. F. Birkenmeier, J. Y. Kim and J. K. Park, On polynomial extensions of principally quasi-Baer rings, Kyungpook Math. J., 40 (2000), 243-253.
    • (2000) Kyungpook Math. J. , vol.40 , pp. 243-253
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 8
    • 0001904926 scopus 로고    scopus 로고
    • Polynomial extensions of Baer and quasi-Baer rings
    • G. F. Birkenmeier, J. Y. Kim and J. K. Park, Polynomial extensions of Baer and quasi-Baer rings, J. Pure Appl. Algebra, 159 (2001), 24-42.
    • (2001) J. Pure Appl. Algebra , vol.159 , pp. 24-42
    • Birkenmeier, G.F.1    Kim, J.Y.2    Park, J.K.3
  • 10
    • 84972492395 scopus 로고
    • Twisted matrix units semigroup algebras
    • W. E. Clark, Twisted matrix units semigroup algebras, Duke Math. J., 34 (1967), 417-424.
    • (1967) Duke Math. J. , vol.34 , pp. 417-424
    • Clark, W.E.1
  • 11
    • 0034347045 scopus 로고    scopus 로고
    • Semiprime Ore extensions
    • J. Han, Y. Hirano and H. Kim, Semiprime Ore extensions, Comm. Algebra, 28 (2000), 3795-3801.
    • (2000) Comm. Algebra , vol.28 , pp. 3795-3801
    • Han, J.1    Hirano, Y.2    Kim, H.3
  • 12
    • 0037040431 scopus 로고    scopus 로고
    • On annihilator ideals of a polynomial ring over a noncommutative ring
    • Y. Hirano, On annihilator ideals of a polynomial ring over a noncommutative ring, J. Pure Appl. Algebra, 168 (2002), 45-52.
    • (2002) J. Pure Appl. Algebra , vol.168 , pp. 45-52
    • Hirano, Y.1
  • 13
    • 0012944364 scopus 로고    scopus 로고
    • On the uniqueness of rings of coefficients in skew polynomial rings
    • Y. Hirano, On the uniqueness of rings of coefficients in skew polynomial rings, Publ. Math. Debrecen., 54 (1999), 489-495.
    • (1999) Publ. Math. Debrecen. , vol.54 , pp. 489-495
    • Hirano, Y.1
  • 14
    • 0035534903 scopus 로고    scopus 로고
    • On ordered monoid rings over a quasi-Baer ring
    • Y. Hirano, On ordered monoid rings over a quasi-Baer ring, Comm. Algebra, 29 (2001), 2089-2095.
    • (2001) Comm. Algebra , vol.29 , pp. 2089-2095
    • Hirano, Y.1
  • 15
    • 0036002743 scopus 로고    scopus 로고
    • Armendariz rings and semicommutative rings
    • C. Huh et al., Armendariz rings and semicommutative rings, Comm. Algebra, 30 (2002), 751-761.
    • (2002) Comm. Algebra , vol.30 , pp. 751-761
    • Huh, C.1
  • 16
    • 0034617515 scopus 로고    scopus 로고
    • Ore extensions of Baer and p.p.-rings
    • Chan Yong Hong, Nam Kyun Kim and Tai keun Kwak, Ore extensions of Baer and p.p.-rings, J. Pure Appl. Algebra, 151 (2000), 215-226.
    • (2000) J. Pure Appl. Algebra , vol.151 , pp. 215-226
    • Hong, C.Y.1    Kim, N.K.2    Kwak, T.K.3
  • 18
    • 0012946593 scopus 로고
    • Bijective extension of injective ring endomorphisms
    • D.A. Jordan, Bijective extension of injective ring endomorphisms, J. London Math. Soc., 35 (1982), 435-488.
    • (1982) J. London Math. Soc. , vol.35 , pp. 435-488
    • Jordan, D.A.1
  • 20
    • 0034649977 scopus 로고    scopus 로고
    • Armendariz rings and reduced rings
    • N. H. Kim and Y. Lee, Armendariz rings and reduced rings, J. Algebra, 223 (2000), 477-488.
    • (2000) J. Algebra , vol.223 , pp. 477-488
    • Kim, N.H.1    Lee, Y.2
  • 21
    • 0001503015 scopus 로고    scopus 로고
    • Some examples of reduced rings
    • J. Krempa, Some examples of reduced rings, Algebra Colloq., 3 (1996), 289-300.
    • (1996) Algebra Colloq. , vol.3 , pp. 289-300
    • Krempa, J.1
  • 22
    • 17744391402 scopus 로고    scopus 로고
    • Primeness, semiprimeness and prime radical of ore extensions
    • T. Y. Lam, A. Leroy and J. Matczuk, Primeness, semiprimeness and prime radical of ore extensions, Comm. Algebra, 28 (2000), 3895-3801.
    • (2000) Comm. Algebra , vol.28 , pp. 3895-13801
    • Lam, T.Y.1    Leroy, A.2    Matczuk, J.3
  • 23
    • 0008069979 scopus 로고
    • Remarks on divisors of zero
    • N. H. McCoy, Remarks on divisors of zero, Amer. Math. Monthly, 49 (1942), 286-296.
    • (1942) Amer. Math. Monthly , vol.49 , pp. 286-296
    • McCoy, N.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.