The concepts of semicompactness, countable semicompactness, and the semi-Lindelöf property are introduced in L-topological spaces, where L is a complete de Morgan algebra. They are defined by means of semiopen L-sets and their inequalities. They do not rely on the structure of basis lattice L and no distributivity in L is required. They can also be characterized by semiclosed L-sets and their i...

The configuration management of a sensor network composed of tens or up to thousands of nodes is difficult due to the limit of memory space and energy consumption. This paper presents an approach for dynamic reconfiguration of application modules in sensor networks based on Nano-Qplus. The version information from proposed methods is registered into NVSync (Nano-Qplus Version Synchronization), ...

of ZfiΓ-modules and ZH-homomorphisms will be called an augmentation sequence if A is a finitely generated Ziϊ-module. Since ZH is a noetherian ring, A is then a finitely presented Zff-module; also, the module B in an augmentation sequence is finitely presented, since it is isomorphic to a submodule of A. For instance, if L £ S is a tame link of m components, G = π^S — L), and G is the commutato...

When building large-scale goal-oriented models using the i* framework, the problem of scalability arises. One of the most important causes for this problem is the lack of modularity constructs in the language: just the concept of actor boundary allows grouping related model elements. In this paper, we present an approach that incorporates modules into the i* framework with the purpose of amelio...

Consider a ring K, a topological space X and a sheaf A on X of K[[~]]-algebras. Assuming A ~-adically complete and without ~torsion, we first show how to deduce a coherency theorem for complexes of A -modules from the corresponding property for complexes of A /~A -modules. We apply this result to prove that, under a natural properness condition, the convolution of two coherent kernels over defo...

In constrast to group actions, however, one cannot always convert left module structures to right structures and vice versa. To clarify the situation, it is convenient to introduce the opposite ring R, which has the same underlying abelian group R but with multiplication a · b = ba. Then a left module over R is the same thing as a right module over R, and vice versa. Consequently, if R happens ...

we investigate the problem of the existence of a frame forright ideals of a c*-algebra a, without the use of the kasparov stabilizationtheorem. we show that this property can not characterize a as a c*-algebraof compact operators.

the main objective of this study is to swing krull intersection theorem in primary decomposition of rings and modules to the primary decomposition of soft rings and soft modules. to fulfill this aim several notions like soft prime ideals, soft maximal ideals, soft primary ideals, and soft radical ideals are introduced for a soft ring over a given unitary commutative ring. consequently, the p...

Let A be finite dimensional algebra over the reals R. A is said to be commutative if ∀x, y xy = yx. The it is customary to introduce for x, y ∈ A the quantity C(x, y) =: [x, y] =: xy − yx, called the commutator. Similarly, one says that A is associative if ∀x, y, z x(yz) = y(xz). In this case one introduces, similarly or x, y ∈ A the quantity A(x, y, z) =: [x, y, z] =: x(yz)− y(xz), called the ...