We presented a simple and direct way to construct unipotent unit clean but not nil-clean element in ring. New examples of unipotent/unit-regular elements that are given. also study the product two idempotents/unit-regulars which unit-regular. The studies exemplified subrings M_2 (Z).

Functional testing, as opposed to parametric testing, plays an important role in testing VLSI integrated circuits. However, it appears that designs are not always carefully analysed in advance to determine precisely which faults are clean, i.e. testable by logic means alone. The programmable logic array (PLA) is a popular circuit form used to implement a system of Boolean functions over a set o...

In this paper, we study the transfer of notion $m$-clean ring (i.e., a in which every element is sum unit and an $m$-potent element) to amalgamated bi-amalgamated rings. We also find many sufficient necessary conditions for m-clean property Received: March 7, 2023Accepted: May 31, 2023

1-Carboxymethyl-3-methylimidazolium chloride {[cmmim]Cl} is utilized as a highly efficient and reusable catalyst for the synthesis of bis(indolyl)methanes by the condensation reaction of indole with arylaldehydes under solvent-free conditions at room temperature. In summary, the presented method have several advantages including simplicity, low cost, generality, efficiency, clean reaction profi...

1-carboxymethyl-3-methylimidazolium chloride {[cmmim]cl} is utilized as a highly efficient and reusable catalyst for the synthesis of bis(indolyl)methanes by the condensation reaction of indole with arylaldehydes under solvent-free conditions at room temperature. in summary, the presented method have several advantages including simplicity, low cost, generality, efficiency, clean reaction profi...

With the present study, we revise earlier results about title compound 2-mercaptopyridone in which deformation density was determined from an X–N study 1982 (X-ray, neutron diffraction). In current X–X X-ray), anharmonic motion parameters for atoms were included and it resulted a very clean map without unexplainable features of literature results. The presence effects is supported by thermal ex...

THE FEASIBILITY OF TRANSFERRING CLEAN TECHNOLOGY FROM THE UNITED STATES TO CHINA: A CASE STUDY FROM THE PAPER INDUSTRY

reduces the congestion and makes the proceedings easier. Technique.?First clean the part with rectified spirit. Starting at the tip of the finger (figure 1) a strong thread (twine would suffice) is wound round the fingers, the strands touching each other without overlapping, till the strands reach in the vicinity of the ring. The free end of the thread is now manipulated under or preferably thr...

The main results: A ring R is CN if and only if for any x ∈ N(R) and y ∈ R, ((1+x)y)n+k = (1+x)n+kyn+k, where n is a fixed positive integer and k = 0, 1, 2; (2) Let R be a CN ring and n ≥ 1. If for any x, y ∈ R\N(R), (xy)n+k = xn+kyn+k, where k = 0, 1, 2, then R is commutative; (3) Let R be a ring and n ≥ 1. If for any x ∈ R\N(R) and y ∈ R, (xy)k = xkyk, k = n, n + 1, n + 2, then R is commutati...