AbstractIn this note a sufficient condition for the existence of flat covers of modules is given. In a special case when flat modules have “enough” flat submodules (especially if the class of flat modules is hereditary), the necessity of the condition is also proved. All results are proved in a more general setting
AbstractThe flat cover conjecture, saying that every module has a flat (pre)cover, has been recently...
AbstractA general existence theorem for flat covers in (e.g., quasi-abelian) locally finitely presen...
In (Bull. Lond. Math. Soc. 33:385–390, 2001) Bican, Bashir and Enochs finally solved a long standing...
AbstractIf R is a right coherent ring, then left R-modules have covers by submodules of flat R-modul...
Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they...
summary:Flat covers do not exist in all varieties. We give a necessary condition for the existence o...
summary:Flat covers do not exist in all varieties. We give a necessary condition for the existence o...
summary:Flat covers do not exist in all varieties. We give a necessary condition for the existence o...
AbstractWe prove a generalization of the flat cover conjecture by showing for any ring R that (1) ea...
In [1] Bican, Bashir and Enochs finally solved a long standing conjec-ture in module theory that all...
AbstractIt is shown that flat covers exist in a wide class of additive categories – we call them ele...
Recall that in contrast to the case of modules over a ring, the limit preser-vation properties of te...
Abstract. We present another proof for the existence of a flat cover for every comodule over a semip...
We prove that all left modules over a right coherent ring have Gorenstein flat covers
AbstractA left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective di...
AbstractThe flat cover conjecture, saying that every module has a flat (pre)cover, has been recently...
AbstractA general existence theorem for flat covers in (e.g., quasi-abelian) locally finitely presen...
In (Bull. Lond. Math. Soc. 33:385–390, 2001) Bican, Bashir and Enochs finally solved a long standing...
AbstractIf R is a right coherent ring, then left R-modules have covers by submodules of flat R-modul...
Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they...
summary:Flat covers do not exist in all varieties. We give a necessary condition for the existence o...
summary:Flat covers do not exist in all varieties. We give a necessary condition for the existence o...
summary:Flat covers do not exist in all varieties. We give a necessary condition for the existence o...
AbstractWe prove a generalization of the flat cover conjecture by showing for any ring R that (1) ea...
In [1] Bican, Bashir and Enochs finally solved a long standing conjec-ture in module theory that all...
AbstractIt is shown that flat covers exist in a wide class of additive categories – we call them ele...
Recall that in contrast to the case of modules over a ring, the limit preser-vation properties of te...
Abstract. We present another proof for the existence of a flat cover for every comodule over a semip...
We prove that all left modules over a right coherent ring have Gorenstein flat covers
AbstractA left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective di...
AbstractThe flat cover conjecture, saying that every module has a flat (pre)cover, has been recently...
AbstractA general existence theorem for flat covers in (e.g., quasi-abelian) locally finitely presen...
In (Bull. Lond. Math. Soc. 33:385–390, 2001) Bican, Bashir and Enochs finally solved a long standing...