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

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发表于 2025-3-21 18:23:06 | 显示全部楼层 |阅读模式
书目名称Serial Rings
编辑Gennadi Puninski
视频videohttp://file.papertrans.cn/866/865425/865425.mp4
图书封面Titlebook: Serial Rings;  Gennadi Puninski Book 2001 Springer Science+Business Media Dordrecht 2001 Finite.Morphism.algebra.commutative property.endom
描述The main theme in classical ring theory is the structure theory of rings of a particular kind. For example, no one text book in ring theory 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 consider a requirement of a lattice-theoretical type, other than being Artinian or Noetherian, the most natural is uni-seriality. Here a module M is called uni-serial if its lattice of submodules is a chain, and a ring R is uni-serial if both RR and RR are uni-serial modules. The class of uni-serial rings includes commutative valuation rings and closed under homomorphic images. But it is not closed under direct sums nor with respect to Morita equivalence: a matrix ring over a uni-serial ring is not uni-serial. There is a class of rings which is very close to uni-serial but closed under the constructions just mentioned: serial rings. A ring R is called serial if RR and RR is a direct sum (necessarily finite) of uni-serial modules. Amongst others this class
出版日期Book 2001
关键词Finite; Morphism; algebra; commutative property; endomorphism ring; model theory; ring theory
版次1
doihttps://doi.org/10.1007/978-94-010-0652-1
isbn_softcover978-94-010-3862-1
isbn_ebook978-94-010-0652-1
copyrightSpringer Science+Business Media Dordrecht 2001
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ce: a matrix ring over a uni-serial ring is not uni-serial. There is a class of rings which is very close to uni-serial but closed under the constructions just mentioned: serial rings. A ring R is called serial if RR and RR is a direct sum (necessarily finite) of uni-serial modules. Amongst others this class 978-94-010-3862-1978-94-010-0652-1
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ufweist. Dann hat man also die Zeitkonstante . und den Verstärkungsfaktor . so zu wählen, daß die Funktion ., die die Abhängigkeit der Überschwingamplitude von den einstellbaren Parametern beschreibt, den kleinstmöglichen Wert annimmt. Andere mögliche Gütebewertungskriterien wären z. B. ein Minimum
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Gennadi Puninskienschen verrichten können. Jedoch ist bisher dieser Versuch mißlungen. Immer, wenn man die Behauptung aufstellte, daß der Automat diese oder jene Denkoperation nicht zu leisten vermag, wurde binnen kurzem durch die Praxis das Gegenteil bewiesen. Keiner ist heute in der Lage, Reservate anzugeben, die
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Gennadi Puninskiystemisch sinnvollem Management vor, das in der Beratungspraxis von Dr. Boysen Consulting entwickelt wurde. Anders als rein beschreibende Methoden, wie eine Geschäftsprozessmodellierung, und analytische Methoden, wie die Sensitivitätsanalyse nach Frederic Vester oder die System-Dynamics-Methode nach
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Gennadi Puninski and other indoleamines, it is assumed that the enzyme functions as a 5-hydroxytryptophan decarboxylase. On the other hand, since the striatum and the adrenal medulla accumulate mainly dopamine, norepinephrine and epinephrine, it is felt that the enzyme primarily decarboxylates dopa. Other factors d
发表于 2025-3-23 03:17:26 | 显示全部楼层
Gennadi PuninskiThe primary advantage of . monitoring of extracellular substrate concentrations is that repeated measurements may be made in the same animal over time. When applied to the conscious, freely moving animal, this allows associations between neurochemical changes and their roles in behaviors to be deter
发表于 2025-3-23 07:25:29 | 显示全部楼层
Gennadi PuninskiThe primary advantage of . monitoring of extracellular substrate concentrations is that repeated measurements may be made in the same animal over time. When applied to the conscious, freely moving animal, this allows associations between neurochemical changes and their roles in behaviors to be deter
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