In this paper, we introduce the concepts of centralizer and normalizer of B-algebras, and we investigate some of their properties. In particular, we prove that if H is a subalgebra of a B-algebra X, then the centralizer C(H) of H is a subalgebra of X, which affirms to the result of P.J. Allen, J. Neggers, and H.S. Kim that the center Z(X) is a subalgebra of X. Moreover, if H is normal in X, then C(H) is normal in X, which affirms to the result of A. Walendziak that Z(X) is normal in X.

抄録全体を表示

In this paper we introduce and characterise the concepts of pseudo topological hyper Kalgebras, strong pseudo topological hyper K-algebras and topological hyper K-algebras. Then we find some properties of this structures. Also we define a topology on a hyper K-algebra, which makes a pseudo topological hyper K-algebra.

抄録全体を表示

In this paper we introduce a conjugation C on a complex Banach space X and define complex symmetric operators. We show some spectral properties of complex symmetric operators.

抄録全体を表示

We consider the K-theory of the group and subgroup C*-algebras of the special or general linear groups over the ring of integers and of their canonical subgroups. We furhter consider the K-theory of the associated, crossed product C*- algebras.

抄録全体を表示

Pin probe inspection methods have been widely used in printed circuit board electrical inspection. Due to the miniaturization of electronic devices, the positioning of inspection jig (called probe jig) is very important for precisely conducting pattern tests of wiring on PCBs. This article newly presents a mathematical programming approach to the optimal position correction of a probe jig. The optimal position correction problem is formulated based on nonlinear programming problem. Several nature-inspired algorithms, such as firefly algorithm (FA), bat algorithm (BA), cuckoo search (CS) and flower pollination algorithm (FPA), are developed for obtaining optimal position correction. The position correction of a probe jig is attained through interactive processes between an operator and the system. The performances of the integrated bio-inspired algorithms are compared. It is shown that the FPA is best among four nature-inspired algorithms for correcting a probe jig position in PCB inspection.

抄録全体を表示