Inspired by the concept of regular local rings in classical algebra, this article we initiate study parameter elements a commutative Noetherian hyperring. These provide deep connection between dimension hyperring and its primary hyperideals. Then, our focusses on R, with maximal hyperideal M, having property that R is equal to vectorial hyperspace MM2 over hyperfield RM. Finally, using hyperrin...

This paper gives a static semantics for Haskell 98, a non-strict purely functional programming language. The semantics formally speciies nearly all the details of the Haskell 98 type system, including the resolution of overloading, kind inference (including defaulting) and polymorphic recursion, the only major omission being a proper treatment of ambiguous overloading and its resolution. Overlo...

M. A. Al Shumrani Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Correspondence should be addressed to M. A. Al Shumrani, [email protected] Received 10 March 2010; Accepted 5 May 2010 Academic Editor: Mihai Putinar Copyright q 2010 M. A. Al Shumrani. This is an open access article distributed under the Creative Commons Attribution License,...

Common DNA-based sexing assays have been widely used for the conservation and management of mammals and birds. However, many fishes do not have genetic sex determination and in those that do, the plasticity of the genes involved means that species-specific assays are normally required. Such DNAsexing markers would be especially valuable in lake sturgeon (Acipenser fulvescens) because of their s...

A Polish group G is called a group of quasi-invariance or a QI-group, if there exist a locally compact group X and a probability measure μ on X such that 1) there exists a continuous monomorphism of G to X, and 2) for each g ∈ X either g ∈ G and the shift μg is equivalent to μ or g 6∈ G and μg is orthogonal to μ. It is proved that G is a σ-compact subset of X. We show that there exists a quotie...

¡v in this paper we consider a strongly regular relation ƒá on hypermodules so that the quotient is amodule (with abelian group) over a fundamental commutative ring. also, we state necessary and sufficientconditions so that the relation ƒá is transitive, and finally we prove that ƒá is transitive on hypermodules.