References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

Almost perfect commutative rings R are introduced (as an analogue of Bazzoni and Salce's
almost perfect domains) for rings with divisors of zero: they are defined as orders in …

Kaplansky classes emerged in the context of Enochs' solution of the Flat Cover Conjecture.
Their connection to abstract model theory goes back to Baldwin et al.: a class of roots of Ext …

We consider the problem of characterizing the commutative domains such that every module
admits a divisible envelope or a-cover, where is the class of modules of projective …

Assume that (𝒜, ℬ) as well as (𝒞, 𝒟) form cotorsion theories of R-modules where R is an
integral domain. For R-modules A, B consider the R-module H= Hom R (A, B). Our main …

We provide a complete classification of all tilting modules and tilting classes over almost
perfect domains, which generalizes the classifications of tilting modules and tilting classes …

We consider a complete hereditary cotorsion pair (A, B) in a Grothendieck category G such
that A contains a generator of finite projective dimension. The derived category D (B) of the …

In this survey article, we introduce the properties of the cotorsion theory and show how to
construct the homology theory for all cotorsion theories. This can be considered the final …

We show that a weak-injective module over an integral domain need not be pure-injective
(Theorem 2.3). Equivalently, a torsion-free Enochs-cotorsion module over an integral …

设R 是整环. 众所周知, R 是Prüfer 整环当且仅当每个可除模是FP-内射模当且仅当每个h-
可除模是FP-内射模. 本文引进了一种新的GorensteinFP-内射模, 并且证明了R 是Gorenstein …