… a regular ring we always mean regular in the sense of von … generalized some parts of the
aforementioned proposition. … 357 of the article - has found a regular Baer subring B of ∏ p ∈ P …

… a von Neumann regular ring. Now we recall the construction of the skew generalized power
series ring … Moussavi, Baer and quasi-Baer properties of skew generalized power series …

… mial rings R[x], the class of Noetherian rings [23] and the rings whose classical ring of quotients
are Von Neumann regular. … [14] generalized the concept of Kronecker function rings from …

… broad classes of generalized power series rings to satisfy the … consider when a generalized
power series ring is domainlike … series rings and the “large polynomial rings” of Halter-Koch. …

… A module MR is called Baer if for every non-empty subset X of … Baer modules and their
generalizations have been studied … A ring R is called von Neumann regular (regular for short) if …

… R ∗ -algebra with that of a von Neumann algebra or a Baer … In Section 8 we collect results
that derive from von Neumann, … of a commutative regular ring forms a generalized Boolean …

… rings is introduced in this paper as a generalization of RM … Recall that a ring R is called
right(left) principally quasi-Baer [9] if … A ring R is called (von Neumann) regular if for each a ∈ R …

… when it produces a von Neumann regular ring. They also … proved that if the attached skew
generalized power series ring R[[S, … the standard notation es for s ∈ S in the skew generalized …

… be a semifinite von Neumann algebra on a Hilbert space H equipped with a faithful normal
… In the terms of ring theory, we assert that the ring T(M,τ) is “directly finite” [11, p. 49]. Since F0…

… In contrast, Kaplansky showed that if R is a Baer ⋆-ring and e , f … By Kaplansky's result, every
Baer ⋆-ring satisfies the SB … We note that over a generalized uniserial ring R, every quasi-…