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Communications in Algebra Volume 25, 1997 - Issue 4
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Original Articles

Localization of modular lattices, krull dimension, and the hopkins-levitzki theorem (II)

Toma Albu Facultatea de Matematic[acaron], Universitatea Bucureşti, Str. Academiei 14, Bucharest 1, RO-70109, Romania E-mail: [email protected]
&
Patrick F. Smith Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland, UK
Pages 1111-1128 | Received 01 Dec 1995, Published online: 27 Jun 2007

Citations (18)

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Read on this site (3)

Martín Ortiz-Morales, Martha Lizbeth Shaid Sandoval-Miranda & Valente Santiago-Vargas. (2021) Gabriel localization in functor categories. Communications in Algebra 49:12, pages 5273-5296.
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Toma Albu & Patrick F. Smith. (2001) LOCALIZATION OF MODULAR LATTICES, KRULL DIMENSION, AND THE HOPKINS-LEVITZKI THEOREM. II. Communications in Algebra 29:8, pages 3677-3682.
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Toma Albu & S. Tariq Rizvi. (2001) CHAIN CONDITIONS ON QUOTIENT FINITE DIMENSIONAL MODULES. Communications in Algebra 29:5, pages 1909-1928.
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Articles from other publishers (15)

M. Davoudian & N. Shirali. (2016) On $$\alpha $$ α -Tall Modules. Bulletin of the Malaysian Mathematical Sciences Society 41:4, pages 1739-1747.
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Maryam Davoudian. (2017) Modules with Chain Condition on Non-finitely Generated Submodules. Mediterranean Journal of Mathematics 15:1.
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Toma Albu. (2015) Relativization, absolutization, and latticization in Ring and Module Theory. São Paulo Journal of Mathematical Sciences 10:2, pages 180-218.
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Maryam DavoudianAhmad HalaliNasrin Shirali. (2016) On α -almost Artinian modules . Open Mathematics 14:1, pages 404-413.
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Toma Albu & Mihai Iosif. (2015) Lattice preradicals with applications to Grothendieck categories and torsion theories. Journal of Algebra 444, pages 339-366.
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P. DOMAGALSKA & E. R. PUCZYŁOWSKI. (2012) DIMENSION MODULES AND MODULAR LATTICES. Journal of Algebra and Its Applications 11:05, pages 1250082.
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Edmund R. Puczyłowski. (2011) A linear property of Goldie dimension of modules and modular lattices. Journal of Pure and Applied Algebra 215:7, pages 1596-1605.
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TOMA ALBU. (2010) GOLDIE DIMENSION, DUAL KRULL DIMENSION AND SUBDIRECT IRREDUCIBILITY. Glasgow Mathematical Journal 52:A, pages 19-32.
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EDMUND R. PUCZYŁOWSKI. (2010) LINEAR PROPERTIES OF GOLDIE DIMENSION OF MODULES AND MODULAR LATTICES. Glasgow Mathematical Journal 52:A, pages 139-150.
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Toma Albu. 2010. Ring and Module Theory. Ring and Module Theory 1 26 .
Toma Albu, Mihai Iosif & Mark L. Teply. (2005) Dual Krull dimension and quotient finite dimensionality. Journal of Algebra 284:1, pages 52-79.
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TOMA ALBU, MIHAI IOSIF & MARK L. TEPLY. (2011) MODULAR QFD LATTICES WITH APPLICATIONS TO GROTHENDIECK CATEGORIES AND TORSION THEORIES. Journal of Algebra and Its Applications 03:04, pages 391-410.
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Toma Albu & Mark L. Teply. 2001. International Symposium on Ring Theory. International Symposium on Ring Theory 1 22 .
Toma Albu & Patrick F. Smith. (1999) Dual Krull Dimension and Duality. Rocky Mountain Journal of Mathematics 29:4.
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Toma Albu. (1998) Classes of lattices (co)generated by a lattice and their global (dual) Krull dimension. Discrete Mathematics 185:1-3, pages 1-18.
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