in this paper, we introduce a class of $j$-quasipolar rings. let $r$ be a ring with identity. an element $a$ of a ring $r$ is called {it weakly $j$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $j(r)$ and the ring $r$ is called {it weakly $j$-quasipolar} if every element of $r$ is weakly $j$-quasipolar. we give many characterizations and investiga...

We study binary linear codes C obtained from the quadric Veronese embedding of P3 in P9 over F2. show how one can find higher weight spectra these codes. Our method will be a Stanley-Reisner rings series matroids associated to each code C.

in this paper, we investigate various kinds of extensions of twin-good rings. moreover, we prove that every element of an abelian neat ring r is twin-good if and only if r has no factor ring isomorphic to z2  or z3. the main result of [24] states some conditions that any right self-injective ring r is twin-good. we extend this result to any regular baer ring r by proving that every element of a...

Artykuł omawia pierwszy etap artystycznej i społecznej kariery Jerzego Szymonowicza Jana Reisnera, związany z ich edukacją w kręgu rzymskiej Akademii Świętego Łukasza. Na podstawie nieznanych do tej pory lub niewykorzystanych pełnym zakresie materiałów archiwalnych, przechowywanych przede wszystkim Archiwum Łukasza, autorzy przybliżają okoliczności konkursów, których obaj artyści otrzymali pier...

the concept of fuzzy soft γ-ring is introduced; and some properties of fuzzy soft γ-rings are given. then the definitions of fuzzy soft γ-ideals are proposed and some of their theories are considered.