… cyclic left R-module is pure-projective. As a corollary of this result we obtain: if every cyclic left
R-module is pure-injective and pure-… over which every cyclic module is pure-projective. It is …

… co-purity of the dualization of cyclic purity ie, the Co-purity … called cyclic purity, in which P is
the class of all cyclic P-modules. … show that the cyclic purity and Cohn's purity are independent…

… -module P is projective with respect to E (see [18, 29, 31]). The sequence E is called cyclically
pure (or C-pure) if every cyclic left R-module is projective with respect to E (see [1, 28]). “C-…

… neat) and pure are in general inequivalent, none implies the other. In general, Cpure …
ring, ie every cyclic right R-module is a direct sum of a projective module and a semisimple …

… In similar manner module- purity plays an important role in the study of module … of purity
relative to a fixed cyclic module | for a left ideal . We try to give the characterization of cyclic pure …

… Note that at the end of module (b), we can also measure the … cyclic interconversion for
both pure and mixed inputs ρA. Figure 3 illustrates the results when A is initialized in some pure …

… Finally, we show that if every cyclic left R-module has FP-projective dimension at most 1, then
… As a consequence, we obtain: if every cyclic left R-module has FP-projective dimension at …

… In the melt, cyclic chains of low or medium … Cyclic polymers also show lower melt viscosities
than their linear analogues, and intriguing rheological behavior: entangled pure cyclic …

… modules one can consider different classes of modules to obtain different purities. A submodule
B of a right module A is said to be I-pure if … an epimorphism for any cyclic submodule K of …

… An expedient access to the first optically pure ruthenium complexes containing C 1 -symmetric
cyclic (alkyl… Owing to their unique and highly modular steric environment, chiral variants of …