… Assume that M is a Jönsson a-module over R, where a is a regular cardinal. If {M;} ie/ is a …
a unitary module M over a commutative ring R with identity is a JdnsSon a-generated module if …

… fi where fi is a regular strongly n-regular ring with the same set of … the universal regular ring
associated with a commutative ring, … a commutative ring R can be embedded into a strongly n-…

… of linearity defects under some standard operations in commutative algebra: tensor products,
quotients by regular sequences, and change of rings. A critical ingredient in the proofs of …

… of all regular elements of R) to replace the quotient field of a domain. However, it is worth
noting that some classical theorems on domains cannot be generalized to commutative rings …

… Let M be an infinite unitary module over a commutative ring R with identity. M is called … , or
M is a torsion module. We show that there are no large Jónsson modules of regular or singular …

… Also we prove that for a commutative ring A, the polynomial ring A[X] … -regular ring (Definition
4.10), we obtain a new characterization of rings over which every finitely generated module …

… The ground rings studied in this paper, commutative regular rings, differ from most of the …
All rings in this paper will be commutative rings with I. A ring R is (von Neumann) regular if for …

… rings for which any free right module has a unique rank. For instance, local rings and nonzero
commutative rings … Let us say that a ring R is (right) slender if the right regular module RR …

… regular and Prüfer rings are characterized according to properties of absolutely pure modules
over these rings… and only if every absolutely pure i?-module is injective and semihereditary …

… (non commutative) rings. The … module such that S=HomR(M,M ) is a regular Baer ring of
Type I (as defined in [3]) then S is isomorphic to the ring of all global sections of a sheaf 5 of rings …