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F-V-环的广义内射性刻划 总被引:1,自引:0,他引:1
设F是含单位元的结合环R上的左Gabriel拓朴,称R是F-V-环,如果商范畴(R,F)-Mod中的所有单对象都是内射对象。本文我们利用左R-模的vN-内射性及拟内射性给出F-V-环的特征刻划。 相似文献
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设F是含单位元的结合环R上的左Gabriel拓朴,称R是F-V-环,如果商范畴(R,F)-Mod中的所有单对象都是内射对象。本文我们利用左R-模的vN-内射性及拟内射性给出F-V-环的特征刻划。 相似文献
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关于环的极大本质右理想 总被引:7,自引:0,他引:7
设R为环,我们考虑下面两个条件。(*)R的每个极大本质右理想是GP-内射右R-模或右零化子.(*)R的每个极大本质右理想是YJ-内射右R-模.本文旨在研究满足条件(*)或(*)的环,同时我们还给出了强正则环和除环的一些新刻画. 相似文献
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近二十年,许多环与模工作对拟投射模与拟内射模作了各种推广与研究。连续模与拟连续模就是拟内射模的一种推广,拟连续模要比连续模弱。在[2],作对连续模与拟连续模做了深入的研究。在这篇章中,利用相关内射性给出了拟连续模的一个刻划。 相似文献
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众所周知,环R是右Noether的当且仅当任意内射右R-模的直和是内射的.本文我们将用Ne-内射模和U-内射模来刻画Ne-Noether环和U-Noether环. 相似文献
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当左拟内射模M的自同态环EndRM为一Deckind有限环时.M的任何两个相互同构的子模的左相关补子横也同构。 相似文献
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《Quaestiones Mathematicae》2013,36(1-4):263-280
Abstract It is shown that (concretely) Cartesian closed topological hulls can be characterized as injective hulls in a rather natural setting. The characterization of locale hulls as injective hulls in the category of (meet-) semilattices by Bruns & Lakser and Born & Kimura constitutes a special case. 相似文献
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In this article, we study some algebraic and geometrical properties of polynomial numerical hulls of matrix polynomials and joint polynomial numerical hulls of a finite family of matrices (possibly the coefficients of a matrix polynomial). Also, we study polynomial numerical hulls of basic A-factor block circulant matrices. These are block companion matrices of particular simple monic matrix polynomials. By studying the polynomial numerical hulls of the Kronecker product of two matrices, we characterize the polynomial numerical hulls of unitary basic A-factor block circulant matrices. 相似文献
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利用带形区域上SLE的性质与Schwarz反射原理,讨论了带形区域上SLE壳的性质.给出了R-对称共形映射与带形区域内壳的关系;得到了带形区域内由一对不相交的壳组成集合与Loewner共形映射之间的关系;导出了R-对称共形映射的提升在带形区域的壳空间内以及带形区域的壳对空间上的相关映射是连续.这就将上半平面上SLE壳的有关性质推广到了带形区域的情形. 相似文献
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Most recently, Gao et al. found a nice method to investigate the Euclidean hulls of generalized Reed-Solomon codes in terms of Goppa codes. In this note, we extend the results to general Galois hull. We prove that the Galois hulls of some GRS codes are still GRS codes. We also give some examples on Galois LCD and self-dual MDS codes. Compare with known results, the Galois hulls of GRS codes obtained in this work have flexible parameters. 相似文献
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Anna Tozzi 《Topology and its Applications》1983,16(1):69-80
Characterizations of epidense subcategories of topological categories and of existence of epidense hulls have been described in [2, 3, 4]. In this paper a similar characterization is given in a much more general setting; for example the category need not have products. The relationship between finite factorization structures and existence of epidense hulls is investigated. It is found to be analogous to the relationship between general factorization structures and epireflective hulls. 相似文献
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Jaka Cimprič 《Algebra Universalis》2001,45(1):1-6
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《Quaestiones Mathematicae》2013,36(3):203-211
Abstract A particular class of epireflective subcategories of To is investigated, exactly the epireflective hulls g(S(a) of the spaces S(a) of the ordinals with the “open half lines” topology. The topological structure of the objects of these hulls is studied, also in relation with their sobrification. Furthermore, a bijective correspondence between hulls and classes of cofinality of ordinals is found. 相似文献
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This paper undertakes the investigation of ordered vector spaces by applying nonstandard analysis. We introduce and study two types of nonstandard hulls of ordered vector spaces. Norm-nonstandard hulls of ordered Banach spaces are also investigated. 相似文献
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This paper is devoted to the study of the Basner hulls of compact subsets of ℂ
N
. The principal result is a characterization of these hulls in terms of continuous families of varieties analogous to a well
known characterization of polynomially convex hulls. This result is based on recent work of the authors concerning continuous
families of divisors.
Received: 30 March 1998 / Revised version: 27 September 1998 相似文献