共查询到19条相似文献,搜索用时 234 毫秒
1.
赵增逊 《纯粹数学与应用数学》2013,(3):282-286
讨论了幂等余Quantale与左纯元、子余Quantale的一些相关性质,发现幂等余Quantale的左纯元构成的集合是对应的子余Quantale;每个幂等余Quantale都可有一个核映射与子余Quantale保持对应关系;并且幂等余Quantale与核映射,左右纯元,Frame等都有一定关系. 相似文献
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讨论余Quantale的一些性质,引入预余Quantale的概念并给出预余Quantale成为余Quantale的充要条件,构造了一些子余Quantale结构。 相似文献
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单纯Quantale及其Quantale商 总被引:8,自引:1,他引:7
讨论Quantale上的同余与Quantale商之间的关系,研究单纯Quantale的性质,给出一类Quantale是单纯Quantale的等价刻画。最后从Quantale商的角度对单纯Quantale进行了研究,得到单纯Quantale的若干特征定理。 相似文献
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幂等右侧Quantale上的幂零矩阵 总被引:2,自引:0,他引:2
讨论幂等右侧Quantale上的幂零矩阵的若干性质,给出了幂等右侧Quantale上的矩阵为幂零矩阵的充要条件,得到了幂零矩阵的幂零指数的刻画定理。 相似文献
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Quantale矩阵的广义逆及其正定性 总被引:2,自引:0,他引:2
给出Quantale矩阵{1}-广义逆的一种刻划以及存在的条件,给出Quantale矩阵M-P广义逆的定义,讨论Quantale矩阵M-P广义逆的若干性质,得到Quantale矩阵M-P广义逆的具体形式.引入Quantale矩阵正定性的概念,研究交换幂等Quantale上矩阵正定的一些性质,得到交换幂等Quantale上矩阵正定的一些等价刻画. 相似文献
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在对偶Quantale上定义了Par运算凵,并研究了其性质.给出了单位Quantale是对偶Quantale的充要条件,在此基础上得出对偶Quantale的等价刻画.证明了在一定条件下对偶Quantale的子Quantale亦是对偶Quantale. 相似文献
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引入Quantale上双侧核映射的概念,研究双侧核映射的若干性质,证明一个核映射是局部核映射当且仅当它是双侧的、幂等的. 相似文献
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引入了一类广义的L模糊Quantale,即(∈,∈∨q)-L模糊Quantale的定义,研究了其性质,利用它对经典子Quantale进行了等价刻画,证明了它的其中一种特殊情形就是L模糊Quantale。 相似文献
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A pretriangulated category is an additive category with left and right triangulations such that these two triangulations are compatible. In this paper, we first show that the idempotent completion of a left triangulated category admits a unique structure of left triangulated category and dually this is true for a right triangulated category. We then prove that the idempotent completion of a pretriangulated category has a natural structure of pretriangulated category. As an application, we show that a torsion pair in a pretriangulated category extends uniquely to a torsion pair in the idempotent completion. 相似文献
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满足a+ab=a+b的幂等半环的结构 总被引:1,自引:0,他引:1
本文讨论了满足a+ab=a+b的幂等半环的结构,给出这种幂等半环是左零半环的伪强右正规幂等半环,并得出这种幂等半环与环的直积是左环的伪强右正规幂等半环. 相似文献
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The main result of the paper is a structure theorem concerning the ideal extensions of archimedean ordered semigroups. We
prove that an archimedean ordered semigroup which contains an idempotent is an ideal extension of a simple ordered semigroup
containing an idempotent by a nil ordered semigroup. Conversely, if an ordered semigroup S is an ideal extension of a simple ordered semigroup by a nil ordered semigroup, then S is archimedean. As a consequence, an ordered semigroup is archimedean and contains an idempotent if and only if it is an
ideal extension of a simple ordered semigroup containing an idempotent by a nil ordered semigroup. 相似文献
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It is shown that an n-by-n matrix has a strictly dominant positive eigenvalue with positive left and right eigenvectors and this property is inherited by principle submatrices if and only if it is entry-wise positive. This limits the extent to which attractive Perron-Frobenius properities may be generalized outside the positive matrices.Mathematics Subject Classification (2000): 15A48 相似文献
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Keith A. Kearnes 《Algebra Universalis》2000,44(1-2):39-45
We show that, up to term equivalence, the only minimal idempotent varieties that are not congruence modular are the variety
of sets and the variety of semilattices. From this it follows that a minimal idempotent variety that is not congruence distributive
is term equivalent to the variety of sets, the variety of semilattices, or a variety of affine modules over a simple ring.
Received March 29, 1999; accepted in final form February 8, 2000. 相似文献
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We first prove that the idempotent completion of a right or left recollement of triangulated categories is still a right or left recollement, then show that the t-structure on a triangulated category is compatible with taking idempotent completion. Finally, an application of the main theorem is given, which is focused on the boundedness and nondegeneration of the t-structure induced by a recollement and its idempotent completion. 相似文献
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A semigroup with zero isidempotent bounded (IB) if it is the 0-direct union of idempotent generated principal left ideals and the 0-direct union of idempotent generated principal right ideals. Notable examples are completely 0-simple semigroups and the wider class of primitive abundant semigroups. Significant to the structure of these semigroups is that they are all categorical at zero. In this paper we describe IB semigroups that are categorical at zero in terms ofdouble blocked Rees matrix semigroups. This generalises Fountain's characterisation of primitive abundant semigroups via blocked Rees matrix semigroups [1], which in turn yields the Rees theorem for completely 0-simple semigroups. 相似文献
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We give characterizations of different classes of ordered semigroups by using intuitionistic fuzzy ideals. We prove that an
ordered semigroup is regular if and only if every intuitionistic fuzzy left (respectively, right) ideal of S is idempotent. We also prove that an ordered semigroup S is intraregular if and only if every intuitionistic fuzzy two-sided ideal of S is idempotent. We give further characterizations of regular and intra-regular ordered semigroups in terms of intuitionistic
fuzzy left (respectively, right) ideals. In conclusion of this paper we prove that an ordered semigroup S is left weakly regular if and only if every intuitionistic fuzzy left ideal of S is idempotent. 相似文献