Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. The notion
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …

Let R be a ring. A right R-module U is called Tor-tilting if, where U+= Homℤ (U, ℚ/ℤ), Cogen
(U+) is the class of left R-modules cogenerated by U+ and consists of modules RM such that …

GENERALIZED TILTING MODULES OVER RING EXTENSION 1. Introduction Let ξ: R → Γ be
a ring homomorphism, then the ring Γ is cal Page 1 Czechoslovak Mathematical Journal, 69 …

It is well known that tilting modules of projective dimension⩽ 1 coincide with∗-modules
generating all injectives. This result is extended in this paper. Namely, we generalize∗ …

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It is well known that tilting modules of projective dimension not more than 1 coincide with∗-
modules generating all injective modules. Later, Wei et al. introduced the notion of∗ n …

Let M be a module over an associative ring R and σ [M] the category of M-subgenerated
modules. Generalizing the notion of a projective generator in σ [M], a module P∈ σ [M] is …

In this article, we provide a new generalization of tilting modules, named (generalized) tilting
modules with respect to σ [M], or simply (generalized) M-tilting modules and then …

We study a natural generalization of* n-modules (and hence also of*-modules) by
introducing the notion of*∞-modules. The most important results about* n-modules (and …

If T is a tilting module and proj. dim (T,)= r, then note that s= T-codim (R,)= r (see [4, 61) and
we call Tan r-tilting module. Associated with certain simple modules over artin algebras …