In the mol-ecule of the title homoallylic amine, C(16)H(13)ClF(3)N, the dihedral angle between the two benzene rings is 84.63 (4)°. Weak intra-molecular N-H⋯F hydrogen bonds generate S(6) and S(5) ring motifs. In the crystal structure, weak inter-molecuar N-H⋯F hydrogen bonds link mol-ecules into centrosymmetric dimers which are arranged in mol-ecular sheets parallel to the ac plane.

In the title compound, C(23)H(26)N(2)O(2)S, the sulfur-bound phenyl group is aligned approximately parallel to one of the two rings of the benzhydryl group, making a dihedral angle of 1.15 (9)°. The other forms a dihedral angle of 59.20 (9)° with the phenyl group bound to the S atom. In the crystal, mol-ecules are linked into strands along [100] by weak C-H⋯O contacts. Weak C-H⋯π inter-actions ...

For a locally compact group G, the measure convolution algebra M(G) carries a natural coproduct. In previous work, we showed that the canonical predual C0(G) of M(G) is the unique predual which makes both the product and the coproduct on M(G) weak∗-continuous. Given a discrete semigroup S, the convolution algebra l(S) also carries a coproduct. In this paper we examine preduals for l(S) making b...

In the title compound, C(17)H(15)BrO(2)S, the 4-bromo-phenyl ring makes a dihedral angle of 87.78 (5)° with the mean plane of the benzofuran fragment. In the crystal, mol-ecules are linked by weak C-H⋯O hydrogen bonds, and by weak inter-molecular C-S⋯π [3.399 (2) Å] and C-Br⋯π [3.797 (2) and 3.757 (2) Å] inter-actions.

In Marx and Swinkels (1997), we identify a condition on a normal form game, transference of decisionmaker indifference (TDI), under which the order of elimination by weak dominance does not matter. That is, regardless of the order in which weakly dominated strategies are removed, any two full reductions—games in which no further removals are possible—are the same up to the addition or removal o...

In this note first we define a BCK‐algebra on the states of a deterministic finite automaton. Then we show that it is a BCK‐algebra with condition (S) and also it is a positive implicative BCK‐algebra. Then we find some quotient BCK‐algebras of it. After that we introduce a hyper BCK‐algebra on the set of all equivalence classes of an equivalence relation on the states of a deterministic finite...