Flat Modules, Injective Modules and Quotient Rings.
Morita, Kiiti (1971)
Mathematische Zeitschrift
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Morita, Kiiti (1971)
Mathematische Zeitschrift
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S. Ebrahimi Atani, S. Dolati Pishhesari, M. Khoramdel (2013)
Discussiones Mathematicae - General Algebra and Applications
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We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.
Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasyl A. Chupordia (2015)
Commentationes Mathematicae Universitatis Carolinae
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A modular analogue of the well-known group theoretical result about finiteness of the derived subgroup in a group with a finite factor by its center has been obtained.
W. Zimmermann, B. Zimmermann-Huisgen (1978)
Mathematische Zeitschrift
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Nguyen V. Dung, P.F. Smith (1992)
Mathematica Scandinavica
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Garkusha, G.A. (2002)
Zapiski Nauchnykh Seminarov POMI
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Daniel Simson
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CONTENTS1. Introduction.......................................................................................52. Traced rings and adjusted modules..................................................93. Moduled categories.........................................................................214. Triangular adjustments....................................................................325. Categories of matrices and -matrix modules...............436. Trace and cotrace reductions.........................................................477....
Robert B. jr. Warfield (1972)
Mathematische Zeitschrift
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Hirosi Nagao, Tadasi Nakayama (1953/54)
Mathematische Zeitschrift
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Kunio Yamagata (2008)
Colloquium Mathematicae
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We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
Roman Sikorski (1971)
Colloquium Mathematicae
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Everett C. Dade (1982)
Mathematische Zeitschrift
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Wolfgang Kimmerle (1980)
Mathematische Zeitschrift
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