[图书][B] Approximations and endomorphism algebras of modules
R Göbel, J Trlifaj - 2006 - degruyter.com
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 …
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …
[HTML][HTML] Almost perfect commutative rings
L Fuchs, L Salce - Journal of Pure and Applied Algebra, 2018 - Elsevier
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 …
almost perfect domains) for rings with divisors of zero: they are defined as orders in …
Kaplansky classes, finite character and ℵ1-projectivity
J Šaroch, J Trlifaj - Forum Mathematicum, 2012 - degruyter.com
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 …
Their connection to abstract model theory goes back to Baldwin et al.: a class of roots of Ext …
DIVISIBLE ENVELOPES, -COVERS AND WEAK-INJECTIVE MODULES
S Bazzoni - Journal of Algebra and Its Applications, 2010 - World Scientific
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 …
admits a divisible envelope or a-cover, where is the class of modules of projective …
The functor Hom and cotorsion theories
L Fuchs, SB Lee - Communications in Algebra, 2009 - Taylor & Francis
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 …
integral domain. For R-modules A, B consider the R-module H= Hom R (A, B). Our main …
Tilting modules over almost perfect domains
J Abuhlail, M Jarrar - Journal of Pure and Applied Algebra, 2011 - Elsevier
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 …
perfect domains, which generalizes the classifications of tilting modules and tilting classes …
[HTML][HTML] Recollements from cotorsion pairs
S Bazzoni, M Tarantino - Journal of Pure and Applied Algebra, 2019 - Elsevier
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 …
that A contains a generator of finite projective dimension. The derived category D (B) of the …
[PDF][PDF] Cotorsion theory and its application to ring structures—a book chapter
FG Wang, H Kim - Moroc. J. Algebra Geom. Appl., 2022 - researchgate.net
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 …
construct the homology theory for all cotorsion theories. This can be considered the final …
On weak-injective modules over integral domains
L Fuchs, SB Lee - Journal of Algebra, 2010 - Elsevier
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 …
(Theorem 2.3). Equivalently, a torsion-free Enochs-cotorsion module over an integral …
Gorenstein Prüfer 整环的一些新刻画
鐔婃稕 - 数学学报, 2020 - actamath.cjoe.ac.cn
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 …
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 …