Structures of Pseudo Ideal and Pseudo Atom in a Pseudo Q-Algebra

Decomposition of ideals into pseudo-irreducible ideals in amalgamated algebra along an ideal

Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian. Then we give a characterization for pseudo-irreducible ideals of $Abowtie^fJ$, in special cases.

Random and Pseudo-Random Structures

Pseudo-cuspforms, pseudo-Laplacians

(∆− λ)f = T for a Γ-invariant distribution T on H, compactly-supported on Γ\H. The three main examples for T are described in detail below. That is, a slight roughness is tolerated in f at the support of the Γ-invariant distribution T . Three natural types of target distributions T are: (i) T is supported at a single point on Γ\H, (ii) T is supported on a closed geodesic on Γ\H, (iii) T evaluat...

Analytic and pseudo-analytic structures

One of the questions frequently asked nowadays about model theory is whether it is still logic. The reason for asking the question is mainly that more and more of model theoretic research focuses on concrete mathematical fields, uses extensively their tools and attacks their inner problems. Nevertheless the logical roots in the case of model theoretic geometric stability theory are not only cle...

Pseudo-Valuation ‏‎Near ‎ring‎ and Pseudo-Valuation N-group in Near Rings

In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of ‎‎, for any multiplication subset S of...