| EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES |
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| 作者姓名： | M.R.Pournaki M.Tousi |
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| 作者单位： | [1]SchoolofMathematics,InstituteforStudiesinTheoreticalPhysicsandMathematicsP.O.Box19395-5756,Tehran,Iran. [2]SchoolofMathematics,InstituteforStudiesinTheoreticalPhysicsandMathematicsP.O.Box19395-5746,Tehran,Iran,andDepartmentofMathematics,ShahidBeheshtiUniversityEvin,Tehran19839,Iran. |
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| 基金项目： | This research is in part supported by a grant from IPM. |
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| 摘 要： | Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p)≠ 0. In this note, the anthors describe the explicit structure of the injective envelope of the R-module R/p.
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| 关 键 词： | 环论 内射模 弱局部素数理想 不可分解性 |
| 收稿时间： | 20 January 2003 |
EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES |
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| M.R.Pournaki M.Tousi.EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES[J].Acta Mathematica Scientia,2005,25(3):511-514. |
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| Authors: | MR Pournaki MTousi |
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| Institution: | 1. Department of Mathematics, University of Kufa, Kufa, P.O. Box (21), Najaf Governarate, Iraq;2. Department of Mathematics, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom;1. Department of Mathematical Sciences, Isfahan University of Technology, P.O. Box: 84156-83111, Isfahan, Iran;2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran;1. Department of Mathematics, Wellesley College, Wellesley, MA 02481, USA;2. Center for Communications Research, 4320 Westerra Court, San Diego, CA 92121-1969, USA;3. Department of Mathematics, Indian Institute of Science Education and Research, Mohali-140306, India;4. Department of Mathematics, Panjab University, Chandigarh-160014, India;1. Department of Mathematics, University of Chicago, Chicago, IL 60637, United States of America;2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Akad. G. Bonchev, Sofia 1113, Bulgaria |
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| Abstract: | Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p) ≠ 0. In this note, the anthors describe the explicit structure of the injective envelope of the R-module R/p. |
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| Keywords: | Noetherian ring injective module indecomposable injective module injective envelope weakly locally principal prime ideal |
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