In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach ...

For any abelian group G and any function f : G → G we define a commutative binary operation or “multiplication” on G in terms of f . We give necessary and sufficient conditions on f for G to extend to a commutative ring with the new multiplication. In the case where G is an elementary abelian p-group of odd order, we classify those functions which extend G to a ring and show, under an equivalen...

The switch control unit module is a critical core control module of the all-electronic computer interlocking system. Switch in the wrong place as the top event, use the Relex software for quantitative analysis of the importance of analysis method and found a key part of the module designs. The weak link in the system design through the use of the ‘2-Vote-2’ modular architecture analysis showed ...

Certainly 0R ∈ A. Let a, b ∈ A. Then a ∈ An and b ∈ Am for some n,m ∈ N. Without loss of generality, assume n ≤ m. This means An ⊆ Am. So we have a, b ∈ Am. Since Am is a subring, it follows that −a ∈ Am, a + b ∈ Am, and ab ∈ Am. So also −a ∈ A, a + b ∈ A and ab ∈ A. This means A is closed under additive inverses, addition, and multiplication, so A is a subring of R. Let r ∈ R. Since An is an i...

We prove that the local height of a point on a Drinfeld module can be computed by averaging the logarithm of the distance to that point over the torsion points of the module. This gives rise to a Drinfeld module analog of a weak version of Siegel’s integral points theorem over number fields and to an analog of a theorem of Schinzel’s regarding the order of a point modulo certain primes.

Sparse matrix-vector multiplication is the kernel for many scientiic computations. Parallelizing this operation requires the matrix to be divided among processors. This division is commonly phrased in terms of graph partitioning. Although this abstraction has proved to be very useful, it has signiicant aws and limitations. The cost model implicit in this abstraction is only a weak approximation...

A complex algebraic curve is said to have many automorphisms if it cannot be deformed nontrivially together with its automorphism group. Oort asked whether the jacobian of any such has multiplication. We answer this question completely when hyperelliptic. For this, we first classify all hyperelliptic curves automorphisms, finding 3 infinite sequences and [Formula: see text] separate isomorphism...

Advanced module systems like Standard ML's 13, 17] support structure generativity. Structure generativity denotes the mechanism that parameterized modules (functors) generate a "new" module instance (structure) for every application to a suitable argument. This operational behaviour is essentially a side eeect. Since interfaces in general depend on module instances, module instances are computa...

Advanced module systems like Standard ML's 13, 17] support structure generativity. Structure generativity denotes the mechanism that parameterized modules (functors) generate a "new" module instance (structure) for every application to a suitable argument. This operational behaviour is essentially a side eeect. Since interfaces in general depend on module instances, module instances are computa...

Let R be a commutative ring with non-zero identity, S multiplicatively closed subset of and M unital R-module. In this paper, we define submodule N (N :R M) ? = to weakly S-primary if there exists s such that whenever m 0 , am N, then either sa ??(N or sm N. We present various properties characterizations concept (especially in faithful multiplication modules). Moreover, the behavior structure ...