The notions of a bipolar fuzzy regularity, a bipolar fuzzy regular subalgebra, a bipolar fuzzy filter, and a bipolar fuzzy closed quasi filter in BCH-algebras are introduced, and several properties are investigated. A characterization of a bipolar fuzzy filter is provided. Mathematics Subject Classification: 06F35, 03G25, 08A72

Wavelets, filter banks and multiresolution signal analysis, have been used independently in the fields of applied mathematics, computer vision and signal processing. It is interesting to note that they performed similar functions in different fields. It is recently, that they converged to form a single theory. In the paper, it is shown that the fundamental idea was the same in all the fields i....

This paper investigates the output and state trajectories of a third-order digital filter with two’s complement arithmetic realized in parallel form. Although the output of the thirdorder digital filter seems to behave randomly, some regular patterns can be displayed on the plot of y (k − 1) versus y (k), where those regular patterns are similar to the second-order case. When the first-order su...

The trans-admittance-mode (TAM) might act as a transforming bridge for voltage-mode to current-mode conversion. In this study a new low voltage operated electronically tunable TAM biquad filter structure realizing all the seven standard filtering functions namely; low-pass (LP), band-pass (BP), high-pass (HP), regular-notch (RN), low-pass-notch (LPN), high-pass-notch (HPN) and all-pass (AP) fro...

Assume 〈א0,א1〉 → 〈λ, λ +〉. Assume M is a model of a first order theory T of cardinality at most λ+ in a vocabulary L(T ) of cardinality ≤ λ. Let N be a model with the same vocabulary. Let ∆ be a set of first order formulas in L(T ) and let D be a regular filter on λ. Then M is ∆-embeddable into the reduced power N/D, provided that every ∆-existential formula true in M is true also in N . We obt...

Assume 〈א0,א1〉 → 〈λ, λ +〉. Assume M is a model of a first order theory T of cardinality at most λ+ in a vocabulary L(T ) of cardinality ≤ λ. Let N be a model with the same vocabulary. Let ∆ be a set of first order formulas in L(T ) and let D be a regular filter on λ. Then M is ∆-embeddable into the reduced power N /D, provided that every ∆-existential formula true in M is true also in N . We ob...

r is called commuting regular ring (resp. semigroup) if for each x,y $in$ r thereexists a $in$ r such that xy = yxayx. in this paper, we introduce the concept of commuting$pi$-regular rings (resp. semigroups) and study various properties of them.