Titlebook: Serial Rings; Gennadi Puninski Book 2001 Springer Science+Business Media Dordrecht 2001 Finite.Morphism.algebra.commutative property.endom

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Pure Projective Modules over Exceptional Uniserial Rings,A uni-serial ring . is said to be . if Jac(.) is a unique nonzero two-sided ideal of . and Jac.(.) ≠ 0. Similarly to Lemma 14.11 it is possible to prove that a nearly simple uni-serial ring does not have Krull dimension and not semi-duo. A uni-serial ring . is called . if . is nearly simple, prime, and contains zero divisors.

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,Σ-Pure Injective Modules over Serial Rings,A module . is called Σ-. (Σ-.) if for every set . the direct sum . is an injective (pure injective) module. The following result gives a model-theoretical interpretation of this notion.

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could miss the Wedderburn-Artin theorem, which says that a ring R is semisimple Artinian iffR is isomorphic to a finite direct sum of full matrix rings over skew fields. This is an example of a finiteness condition which, at least historically, has dominated in ring theory. Ifwe would like to consid

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Book 2001 the Wedderburn-Artin theorem, which says that a ring R is semisimple Artinian iffR is isomorphic to a finite direct sum of full matrix rings over skew fields. This is an example of a finiteness condition which, at least historically, has dominated in ring theory. Ifwe would like to consider a requi

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Psychologische Auswirkungen sogenannter schwerer anderer seelischer Abartigkeit,s Rahmenkonzept eingebunden. Dieses hat die Funktion, die zahlreichen phänomenologisch heterogenen Konzeptionen der SASA innerhalb einer persönlichkeitspsychologischen Konzeptualisierung zu verankern. Dies geschieht notwendigerweise zuerst auf einer abstrakt-modellhaften Ebene (vgl. Kap. 4.1), um da