Let a, b ∈ Z and p be a prime number such that are not divisible by p. In this work, we give congruent property modulo of the gibonacci defined Gn = Gn−1 + Gn−2 with initial condition G1 G2 b. We show sequence satisfying Gkp−(p/5) ≡ Gk−1 (mod p) for all positive integer k odd ≠ 5 if only p). Moreover, each p, necessary sufficient yielding also find relation between sequences in same equivalent ...

Abstract We prove implications among the conditions in title for general $\text C^*$-inclusions $A\subseteq B$, and we also relate this to several other properties case $B$ is a crossed product an action of group, inverse semigroup, or étale groupoid on $A$. show that if C^*$-inclusion aperiodic it has unique pseudo-expectations, if, addition, pseudo-expectation faithful, then $A$ supports sens...

We study the poset 〈Iκ ,⊆〉 as a measure of how similar the structures A and B are to each other. A subset X of Iκ has the κ back-and-forth property if for all λ < κ ∀p ∈ X[∀a ∈ λA∃b ∈ B (p ∪ {〈a(i), b(i)〉 : i < λ} ∈ X) ∧ ∀b ∈ λB∃a ∈ A(p ∪ {〈a(i), b(i)〉 : i < λ} ∈ X)]. It is obvious that there is a largest κ-back-and-forth set which we denote by I∗ κ . The structures A and B are said to be parti...

Objectives: Herbal medicine is known as a valid alternative treatment. Salvia Reuterana, which has been used in the Iranian traditional medicine, is mostly distributed in the central highlands of Iran. Salvia Reuterana is a medicinal herb with various therapeutic usages. The aim of the present review is to take account of pharmacological properties of Salvia Reuterana. Materials and Methods: Th...

Simple geometric proofs are given for the total positivity of the B-spline collocation matrix and the variation diminishing property of the B-spline representation of a spline.

A frequently noted property of reduplication is that the reduplicant is generally a contiguous substring of the base (e.g. Marantz 1982; McCarthy and Prince 1986, 1995; Lamontagne 1996). For example, Lamontagne (1996) identifies [[ABC]R[ABCDE...]B] as a 'typical reduplication pattern', and [[ACD]R[ABCDE...]B] as 'atypical'. In optimality theory, this property is enforced by the "no skipping" cl...

The result stated in the title is proved as a consequence of an appropriate generalization replacing the square property of a seminorm with a similar weaker property which implies an equivalence to the supnorm of all continuous functions on a compact Hausdorff space also. Theorem. Let p be a seminorm with the square property on a complex (associative) algebra A. Then the following hold for all ...

We show that if d ∈ GH1 then D(≤ d) has the complementation property, i.e. for all a < d there is some b < d such that a ∧ b = 0 and a ∨ b = d. §

In this paper, we establish the Černý-Pin conjecture for automata with the property that their transition monoid cannot recognize the language {a, b}∗ab{a, b}∗. For the subclass of automata whose transition monoids have the property that each regular J -class is a subsemigroup, we give a tight bound on lengths of reset words for synchronizing automata thereby answering a question of Volkov.