The title mol-ecule, C(18)H(18)N(2)O(2), is V-shaped with the pyrazoline moiety being inclined to the adjacent phenyl ring by an angle of 6.49 (9)°, while the 4-meth-oxy-substituted ring is inclined to the pyrazoline ring by 82.99 (9)°. In the crystal, adjacent mol-ecules are linked by C-H⋯O inter-actions, forming chains propagating in [100]. There are also C-H⋯π inter-actions involving adjacen...

Toric rings and toric ideals are established research objects in combinatorial and computational aspects of commutative algebra. In [1], from a viewpoint of algebraic statistics, the concept of nested configurations is introduced. In the present paper, the toric ring together with the toric ideal arising from a nested configuration will be studied in detail. Let K[t] = K[t1, . . . , td] denote ...

Sixteen aminoglycoside antibiotics and derivatives were found to be substrates and nine were identified as competitive inhibitors of purified gentamicin acetyltransferase I. Among the substrates, gentamicin A, kanamycin B, tobramycin, neamine, nebramine (tobramine), and gentamine Cl, were previously questioned on the basis of results obtained from microbiological studies or enzymatic experiment...

Sixteen aminoglycoside antibiotics and derivatives were found to be substrates and nine were identified as competitive inhibitors of purified gentamicin acetyltransferase I. Among the substrates, gentamicin A, kanamycin B, tobramycin, neamine, nebramine (tobramine), and gentamine Cl, were previously questioned on the basis of results obtained from microbiological studies or enzymatic experiment...

The main objective of this paper is to calculate the metric dimension and resolving-domination number zero-divisor graphs direct product finite fields. Let $F_1, \ldots, F_n(n \geqslant 2)$ be We consider graph $\Gamma(R)$ ring $R=F_1 \times \cdots F_n$ $(n determine $\beta(\Gamma(R))$ $\gamma_r(\Gamma(R))$ If order each field two, then we prove that $\beta(\Gamma(R)) \leqslant n-1$ $\gamma_r(\...

Received (received date) Revised (revised date) Communicated by Editor's name ABSTRACT We deene a subclass of Petri nets called m?state n?cycle Petri nets, each of which can be thought of as a ring of n bounded (by m states) Petri nets using n potentially unbounded places as joins. Let Ring(n; l; m) be the class of m?state n?cycle Petri nets in which the largest integer mentioned can be represe...

Koszul algebras, introduced by Priddy in [P], are positively graded Kalgebras R whose residue field K has a linear free resolution as an R-module. Here linear means that the non-zero entries of the matrices describing the maps in the R-free resolution of K have degree 1. For example, the polynomial ring S = K[x1, . . . ,xn] over a field K (i.e the symmetric algebra SymK(V ) of a n-dimensional K...