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...

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...

Leaf and sheath spot (mini ring) is a turfgrass fungal disease that has been reported in some states the USA. The causal pathogen Waitea circinata var. zeae, also known as Rhizoctonia zeae. This typically causes thinned turf areas and/or rings of full, half, or quarter circles. Turfgrass under stress irrigated with high salinity water more prone to infestation. Seven fungicide programs were eva...

Recent studies have shown that the ubiquitin proteasome pathway (UPP) is closely related to immune defense. We have identified a ubiquitin-conjugating enzyme E2 from the Chinese white shrimp Fenneropenaeus chinensis (FcUbc). Injection of recombinant FcUbc protein (rFcUbc) reduced the mortality of shrimp infected with White Spot Syndrome Virus (WSSV) and inhibited replication of WSSV. rFcUbc, bu...