环扩张上星运算的一些性质

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2021-07-17 DOI:10.24330/IEJA.969592

Lokendra Paudel, S. Tchamna

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引用次数: 2

摘要

允许是环扩张R⊆S上的星运算。如果（R[m]，m[m]）是S中每-R的最大理想m[L.Paudel和S.Tchamna，连锁星运算的研究，出现在Bull.Korean Math.Soc.，定义3.1]。我们建立了一些关于星运算的结果，并研究了P？类型的回调图中的ME。我们证明，对于R的最大理想m，扩展R[m]⊆S是Manis当且仅当R[X][mR[X]]𕥄S[X]是Manis扩展。数学学科分类（2020）：13A15、13A18、13B02

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SOME PROPERTIES OF STAR OPERATIONS ON RING EXTENSIONS

Let ? be a star operation on a ring extension R ⊆ S. A ring extension R ⊆ S is called Prüfer star-multiplication extension (P?ME) if (R[m],m[m]) is a Manis pair in S for every ?-maximal ideal m of R [L. Paudel and S. Tchamna, A study of linked star operations, to appear in Bull. Korean Math. Soc., Definition 3.1]. We establish some results on star operations, and we study P?ME in pullback diagrams of type . We show that, for a maximal ideal m of R, the extension R[m] ⊆ S is Manis if and only if R[X][mR[X]] ⊆ S[X] is a Manis extension. Mathematics Subject Classification (2020): 13A15, 13A18, 13B02

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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.