Titlebook: Noetherian Semigroup Algebras; Eric Jespers,Jan Okniński Book 20071st edition Springer Science+Business Media B.V. 2007 Algebraic structur

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Principal ideal rings,In this chapter we study semigroup algebras . that are principal right ideal rings. First, we show that these are finitely generated PI algebras of Gelfand-Kirillov dimension at most 1.

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Maximal orders and Noetherian semigroup algebras,It remains an unsolved problem to characterize when an arbitrary semigroup algebra . over a field . is a prime Noetherian maximal order. In this chapter we describe when a semigroup algebra . is a Noetherian PI domain which is a maximal order. This result will be applied in the context of concrete classes of algebras considered in Chapter 8.

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Examples,The theory developed in the preceding chapters will be illustrated on several examples of monoids of skew type and their algebras. Our calculations also show that several ingredients of the structural description of these combinatorially defined algebras can be effectively computed.

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Algebra and Applicationshttp://image.papertrans.cn/n/image/666767.jpg

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https://doi.org/10.1007/1-4020-5810-1Algebraic structure; Gelfand-Kirillov dimension; Group theory; Noetherian and PI algebra; Representation

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Eric Jespers,Jan Oknińskiwie die Fischer-Tropsch-Synthese [11, 12] und die Reaktionen von Kohlenmonoxyd mit Derivaten des Ammoniaks ausge- lassen werden [13]. Auf diese Arbeiten sei hiermit verwiesen. Anregungen für sp?tere Auflagen sind willkommen. Ich m?chte an dieser Stelle nicht vers?umen, einer Reihe von Kollegen, die

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