… An R-module M is said to be an SNil∗-coherent R-module if … a ring to be S-Nil∗-coherent
(see Theorem 2.6). Also, we characterize Nil∗-coherent rings in terms of S-Nil∗-coherent rings. …

… rings and Nil∗coherent rings, we say a ring R is Nil∗-… of Nil∗-injective modules need
not be Nil∗-injective for Nil∗-… or special Nil∗-coherent, J. Algebra Appl, 16 (2017) 1750187…

… Nil*-Artinian rings, Nil*-Noetherian rings and Nil*-coherent … , ie, rings with zero nilradical
(see [6, Corollary 4.2.4, … and the R-module M is Artinian (see Theorem 2.9). Finally, we …

… are assumed to be commutative with non-zero identity and prime nilradical. We use Nil(R)
to … and it is not unreasonable to expect that it will have special importance in relation to the \(\…

… rings considered in the present paper are assumed to be commutative with identity elements
and all modules … For a special case of trivial ring extension, we have the following corollary: …

… commutative ring with identity element, U(R) its (multiplicative) group of units, J(R) its Jacobson
radical, Z(R) the set of all zero-divisors of R, and Nil… of A, E an A-module such that \(ME=0\…

… of M contained in Nil(R)M and n = 1, then M is n-X -coherent if and only if it is Nil∗-coherent.
(3) Let R be a semisimple … or special Nil∗-coherent, J. Algebra Appl. 16 (2017) 1750187. …

… properties of a special kind of R ⊳⊲f J-modules, called the … , an Artinian or an (Nil∗-)coherent
R ⊳⊲ I-module. They also … JN is a Noetherian or a coherent R ⊳⊲f J-module. The new …

… We introduce coherent-like modules which also emphasizes … of R-modules and n ≥ 1 an
integer, we introduce, via special … Nil(R)M, then the module M is 1-X coherent if and only if it is …

… In this paper, we investigate a particular class of uniformly gr-coherent rings (and modules)
that we call weakly uniformly grcoherent rings (and modules). Let R be a graded ring. A …