Necessary and sufficient conditions are found on modules over a formal triangular matrix ring to have Krull and/or Noetherian dimension. Also, critical and atomic modules are characterized.
机构:
Univ Kashan, Fac Math Sci, Dept Pure Math, Kashan, Iran
Inst Res Fundamental Sci IPM, Sch Math, Tehran, IranUniv Kashan, Fac Math Sci, Dept Pure Math, Kashan, Iran
Eshraghi, H.
Hafezi, R.
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机构:
Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
Univ Isfahan, Dept Math, Esfahan, IranUniv Kashan, Fac Math Sci, Dept Pure Math, Kashan, Iran
Hafezi, R.
Salarian, Sh.
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机构:
Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
Univ Isfahan, Dept Math, Esfahan, IranUniv Kashan, Fac Math Sci, Dept Pure Math, Kashan, Iran
Salarian, Sh.
Li, Z. W.
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机构:
Jiangsu Normal Univ, Dept Math, Xuzhou 221116, Peoples R ChinaUniv Kashan, Fac Math Sci, Dept Pure Math, Kashan, Iran
机构:
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Huang, Chonghui
Xu, Zhenghua
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Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R ChinaUniv South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
Xu, Zhenghua
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS,
2014,
52
(05):
: 63
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68