共查询到19条相似文献,搜索用时 31 毫秒
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NioviKehayopulu和Michael Tsingelis于2003年给出了关于序半群的理想扩张的一个定理,本文利用该定理进一步给出了弱可约序半群的理想扩张的构造. 相似文献
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本研究了一般半群环的右Artin性的刻划问题,改进了Jan Okniski在[3]中的结果。并给出了半群环是右Arlin环的刻划,最后进—步指出在一定条件下,R[S1]和R[S1]的链条件是等价的。 相似文献
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无挠左(右)Artin环是拟Frobenius环乌成伟(吉林工学院基础部,长春130012)关键词内积,左(右)内零化子,自内射环.分类号AMS(1991)16D50/CCLO153.3设R为有1的左(右)Artin环,如果对于任一整数洲与r∈R,m... 相似文献
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本文先引入Fuzzy左(Fuzzy右)正则半群的概念,进而讨论Fuzzy左(Fuzzy右)正则半群以及Fuzzy完全正则半群中Fuzzy理想的一些代数性质。 相似文献
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Artin模的自同态环 总被引:1,自引:0,他引:1
武同锁 《数学年刊A辑(中文版)》1995,(2)
本文讨论Artin模的自同态环何时为半完全环的问题.对于Artin模MR,本文证明了:(1)若M是非单的直和不可分解模,则socM为见的小子模;(2)对任意Artin模M及任意Artin半单模L,EndR(ML)为半完全环的充要条件为EndR(M)是半完全环.本文还证明了(直和不可分解的)拟投射Artin模的自同态环为(局部环)半准素环.而对于非零的Artin投射模P,“P直和不可分解”等价于“P和不可分解”. 相似文献
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We show that a right artinian ring R is right self-injective if and only if ψ(M)?=?0 (or equivalently ?(M)?=?0) for all finitely generated right R-modules M, where ψ, $\phi :\!\!\!\! \mod R \to \mathbb N$ are functions defined by Igusa and Todorov. In particular, an artin algebra Λ is self-injective if and only if ?(M)?=?0 for all finitely generated right Λ-modules M. 相似文献
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Clase M. V.; Jespers E.; Kelarev A. V.; Okninski J. 《Bulletin London Mathematical Society》1995,27(5):441-446
Let S be a semigroup with no infinite subgroups and let R bea right Artinian S-graded ring. We prove that R necessarilyhas finite support. 相似文献
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《代数通讯》2013,41(4):1255-1264
Abstract In this paper we extend a well-known characterization of unital Artinian serial rings to the analagous class of rings with local units. In particular we characterize locally Artinian serial rings as those in which every finitely generated module or every finitely cogenerated module is uniserial. Additionally, we show that the entire characterization does not extend, as there exist locally Artinian serial rings that have non-serial modules. 相似文献
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Wolfgang Rump 《Algebras and Representation Theory》2004,7(4):395-417
The method of differentiation for the category -lat of lattices over an order will be extended to integral almost Abelian categories A instead of -lat. In particular, this yields a differentiation for finitely generated left modules over left Artinian rings. 相似文献
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Hans Schoutens 《Monatshefte für Mathematik》2007,150(3):249-261
Let R be a (mixed characteristic) Artinian local ring of length l and let X be an n-tuple of variables. We prove that several algebraic constructions in the ring R[X] admit uniform bounds on the degrees of their output in terms of l, n and the degrees of the input. For instance, if I is an ideal in R[X] generated by polynomials g
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of degree at most d and if f is a polynomial of degree at most d belonging to I, then f = q
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f
1 + ··· + q
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f
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, for some q
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of degree bounded in terms of d, l and n only. Similarly, the module of syzygies of I is generated by tuples all of whose entries have degree bounded in terms of d, l and n only. 相似文献
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在[1]文中利用极大左理想刻画了Noether环,本文引进Noether左理想、Artin左理想、m左理想等概念(当I是环R的极大左理想时, I既是Noether、Artin的也是m的,此时m=1。),证明了[1]文中相应的结论,给出了相应的Artin环的刻画。 定义1 环R的左理想I称为Artin(Noether),如果R/I是Artin(Noether)R模。 定义2 环R的左理想I称为m理想,如果R/I的任何R子模都可由m个元生成。 本文的主要结论: 相似文献
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It is proved that a ring R is right Artinian if and only if,for each countably generated right R-module M, there existsa finite subset F of M such that the annihilator of M in R equalsthe annihilator of F in R. 2000 Mathematics Subject Classification16P20. 相似文献