Arithmetic Analogues of Derivations

Arithmetic analogues of McAloon's unique Rosser sentences

On Inequalities for Hypergeometric Analogues of the Arithmetic-geometric Mean

In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp inequality for the arithmetic-geometric mean established in [10].

A Relation between Standard Conjectures and Their Arithmetic Analogues

Ap(X,H) is called the hard Lefschetz conjecture and Hp(X,H) is called the Hodge index conjecture. When the characteristic of k is zero, the Hodge index conjecture is already proved. On the other hand, for an arithmetic variety the intersection theory of cycles was established by Arakelov [1] for surfaces and Gillet and Soulé [5] for higher dimensional varieties. It is quite natural to ask wheth...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS

Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.Also, we investigate some properties of them.