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1.

On ideals and congruences in bcc-algebras

**总被引：10，自引：0，他引：10**We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences. 相似文献

2.

On ideals and congruences in bcc-algebras

**总被引：10，自引：0，他引：10**We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences. 相似文献

3.

A mistake concerning the ultra

*LI*-ideal of a lattice implication algebra is pointed out, and some new sufficient and necessary conditions for an*LI*-ideal to be an ultra*LI*-ideal are given. Moreover, the notion of an*LI*-ideal is extended to*MTL*-algebras, the notions of a (prime, ultra, obstinate, Boolean)*LI*-ideal and an*ILI*-ideal of an*MTL*-algebra are introduced, some important examples are given, and the following notions are proved to be equivalent in*MTL*-algebra: (1) prime proper*LI*-ideal and Boolean*LI*-ideal, (2) prime proper*LI*-ideal and*ILI*-ideal, (3) proper obstinate*LI*-ideal, (4) ultra*LI*-ideal. This work was supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. Y605389) and K. C. Wong Magna Fund in Ningbo University. 相似文献4.

Xiaohong Zhang 《Mathematica Slovaca》2013,63(3):397-410

The aim of the paper is to investigate the relationship between

*BCC*-algebras and residuated partially-ordered groupoids. We prove that an integral residuated partially-ordered groupoid is an integral residuated pomonoid if and only if it is a double*BCC*-algebra. Moreover, we introduce the notion of weakly integral residuated pomonoid, and give a characterization by the notion of pseudo-*BCI*algebra. Finally, we give a method to construct a weakly integral residuated pomonoid (pseudo-*BCI*algebra) from any bounded pseudo-*BCK*algebra with pseudo product and any group. 相似文献5.

Xiaohong Zhang 《Mathematica Slovaca》2013,63(4):661-678

The aim of the paper is to investigate the relationship among

*NMV*-algebras, commutative basic algebras and*naBL*-algebras (i.e., non-associative*BL*-algebras). First, we introduce the notion of strong*NMV*-algebra and prove that- a strong
*NMV*-algebra is a residuated*l*-groupoid (i.e., a bounded integral commutative residuated lattice-ordered groupoid) - a residuated
*l*-groupoid is commutative basic algebra if and only if it is a strong*NMV*-algebra.

*NMV*-filter and prove that a residuated*l*-groupoid is a strong*NMV*-algebra (commutative basic algebra) if and only if its every filter is an*NMV*-filter. Finally, we introduce the notion of weak*naBL*-algebra, and show that any strong*NMV*-algebra (commutative basic algebra) is weak*naBL*-algebra and give some counterexamples. 相似文献6.

该文从1+1维的孤子方程出发,构造出一个2+1维在Lax意义下可积的方程.接着这个2+1维可积方程被分解为可解的常微分方程.随后引入超椭圆Riemann曲面和Abel-Jacobi坐标把流进行了拉直.再利用Riemannθ函数给出了这个2+1维方程的代数几何解. 相似文献

7.

The Wielandt subgroup of a group G,denoted by w(G),is the intersection of the normalizers of all subnormal subgroups of G.In this paper,the authors show that for a p-group of maximal class G,either wi(G) = ζi(G) for all integer i or wi(G) = ζi+1(G) for every integer i,and w(G/K) = ζ(G/K) for every normal subgroup K in G with K = 1.Meanwhile,a necessary and suflcient condition for a regular p-group of maximal class satisfying w(G) = ζ2(G) is given.Finally,the authors prove that the power automorphism group PAut(G) is an elementary abelian p-group if G is a non-abelian pgroup with elementary ζ(G) ∩ 1(G). 相似文献

8.

Xiaohong Zhang Anmar Khadra Dan Yang Dong Li 《Communications in Nonlinear Science & Numerical Simulation》2010,15(1):105

In this paper, a novel technique based on impulsive fuzzy T–S model is proposed for controlling chaotic systems with parameter uncertainties. According to this new model, a unified methodology for establishing robust stability, asymptotic stability and exponential stability of impulsive controllers is developed. Various robust stability conditions are presented in the form of linear matrix inequalities (LMI). A simple iterative algorithm is also provided for calculating design parameters based on LMI techniques. Finally, a typical design procedure is developed by using well-known chaotic systems for illustration, accompanied by several numerical simulations to demonstrate the validity of the proposed methodology. 相似文献

9.

Ideals and atoms are studied by various authors from different point of views. In different algebras there are studied different
ideals, but obtained results are similar. Below we present a new method of study of ideals in

*BZ*-algebras. Using this method we describe the connection between ideals of various types. Supported by Natural Science Foundation of China (Grant No. 60775038). 相似文献10.

This paper examines an assemble-to-order environment involving a short-life-cycle product that is sold in two different configurations, each requiring a unique component that must be stocked in advance. Both configurations of the product are assembled on the same equipment which has limited capacity. The focus of the analysis is on the determination of the appropriate stocking quantities for each of the configuration specific components. Because the same assembly capacity is often reused for different instances of the component stocking problem, we treat assembly capacity as exogenous. This represents the fact that capacity decisions are often made less frequently than are procurement/production quantity decisions. We first solve for the first-best stocking policy when the components are produced internally. We then consider the case when the components are procured from external suppliers, and investigate how different forms of contract between the assembler and the component suppliers affect coordination of the supply chain as well as each party’s profit. One particularly interesting finding is that it is possible to coordinate the supply chain with a single-price contract between each supplier and the assembler while awarding all parties positive profit. 相似文献