Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Some Results on AWN-injective Rings
View through CrossRef
A concept of AWN-injective ring is defined by [1], that is, for any there exists and an Y-sub module of ( is aright -module) such that and as left S-module with S=End(u ). If is AWN-injective module, then we call aright AWN-injective ring. In this note also continue to study some extensions of AWN-injective rings. A mong others it is proved that, if is aright AWN-injective ring, so is for satisfying . Also prove that is reduced, and GW -reguler ring, if is a weak symmetric and whose every simple right -module is AWN-injective ring.
Title: Some Results on AWN-injective Rings
Description:
A concept of AWN-injective ring is defined by [1], that is, for any there exists and an Y-sub module of ( is aright -module) such that and as left S-module with S=End(u ).
If is AWN-injective module, then we call aright AWN-injective ring.
In this note also continue to study some extensions of AWN-injective rings.
A mong others it is proved that, if is aright AWN-injective ring, so is for satisfying .
Also prove that is reduced, and GW -reguler ring, if is a weak symmetric and whose every simple right -module is AWN-injective ring.
Related Results
SHORT AND CROOKED AWN, encoding the epigenetic regulator EMF1, promotes barley awn development
SHORT AND CROOKED AWN, encoding the epigenetic regulator EMF1, promotes barley awn development
Abstract
The awn is a bristle-like extension from the tip of the lemma in grasses. In barley, the predominant cultivars possess long awns that contribute to grain yi...
DOMINANT AWN INHIBITOR
encodes the ALOG protein originating from gene duplication and inhibits awn elongation by suppressing cell proliferation and elongation in sorghum
DOMINANT AWN INHIBITOR
encodes the ALOG protein originating from gene duplication and inhibits awn elongation by suppressing cell proliferation and elongation in sorghum
Abstract
The awn, a needle-like structure extending from the tip of the lemma in grass species, plays a role in environmental adaptation and fitn...
Effects of cleaning in Saturn's rings
Effects of cleaning in Saturn's rings
Saturn's rings are well known for many good reasons, one of them being their brightness. Made of almost 99% water ice, they are by far the most ice-rich object of the solar system,...
Exploring the Loci Responsible for Awn Development in Rice through Comparative Analysis of All AA Genome Species
Exploring the Loci Responsible for Awn Development in Rice through Comparative Analysis of All AA Genome Species
Wild rice species have long awns at their seed tips, but this trait has been lost through rice domestication. Awn loss mitigates harvest and seed storage; further, awnlessness incr...
Redefining awn development in rice through the breeding history of Japanese awn reduction
Redefining awn development in rice through the breeding history of Japanese awn reduction
The study challenges the conventional understanding of awn loss as a domestication syndrome, showing instead that many awned varieties continued to be widely grown in Japan until t...
On Closed Quasi Principally Injective Acts over Monoids
On Closed Quasi Principally Injective Acts over Monoids
The concept of closed quasi principally injective acts over monoids is introduced ,which signifies a generalization for the quasi principally injective as well as for the closed qu...
Generalizations of principally quasi‐injective modules and quasiprincipally injective modules
Generalizations of principally quasi‐injective modules and quasiprincipally injective modules
Let R be a ring and M a right R‐module with
S = End(MR). The module M is called almost principally
quasi‐injective (or APQ‐injective for short) if, for any m ∈ M, there exists an S...
Mapping and Characterization of QTLs for Awn Morphology Using Crosses between “Double-Awn” Wheat 4045 and Awnless Wheat Zhiluowumai
Mapping and Characterization of QTLs for Awn Morphology Using Crosses between “Double-Awn” Wheat 4045 and Awnless Wheat Zhiluowumai
Awns play important roles in seed dispersal, protection against predators, and photosynthesis. The characterization of genes related to the formation of awns helps understand the r...