… It is shown that a ring is left perfect if and only if every projective left module has a semiregular
endomorphism ring. Turning to semiregular modules, it is shown that the endomorphism …

… Every regular ring is a semiregular π-regular ring. In addition, all right or left … rings are
semiregular π-regular rings, and the endomorphism ring of any injective module is a semiregular …

… ring with identity period Let M be a right R hyphen module comma the endomorphism ring of
… D Following [ 6 ] a ring R is called semiregular if R/J(R) is regular and idempo tents can be …

… endomorphism ring of a module Μ is denoted by End(M). A ring A is called semiregular if
the factor ring … A subset Τ of a ring A is called: (a) multiplicative if Τ is a multiplicatively closed …

… whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with
… 113 (2008)] on a module whose endomorphism ring is semiregular with respect to the ideal …

… may define left generalized semiregular elements and left generalized semiregular rings. …
if its endomorphism ring is an exchange ring. By Nicholson (Citation1977), R is an exchange …

… Throughout the article, R is an associative ring with identity, and by the term regular ring we
mean regular in the sense of von Neumann. All modules are unitary left R-modules, and we …

… endomorphism) ring. It holds that [M, N] is semipotent if and only if Tot[M, N] = J[M, N]. Thus, a
ring … In Section 7, we prove that every non-unital ring has a unique maximal semiregular two…

… rings and self-injective rings are the so-called semiregular rings (see definition below), a
class of rings … in Questions A and B when the ring R is semiregular. We find that in case the …

… Clearly, every J-clean ring is clean. We say that a module M is J-clean, if the endomorphism
ring of M is a J-clean ring. UU-rings are defined by Calugareanu [2] as U(R)=1+ N(R) (ie …