Results 31 to 40 of about 310,219 (199)

Noetherian properties in composite generalized power series rings

Open Mathematics, 2020
Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
doaj   +1 more source

On the regulator problem for linear systems over rings and algebras

Open Mathematics, 2021
The regulator problem is solvable for a linear dynamical system Σ\Sigma if and only if Σ\Sigma is both pole assignable and state estimable. In this case, Σ\Sigma is a canonical system (i.e., reachable and observable).
Hermida-Alonso José Ángel, Carriegos Miguel V., Sáez-Schwedt Andrés, Sánchez-Giralda Tomás   +3 more
doaj   +1 more source

Differentially trivial left Noetherian rings [PDF]

, 1999
summary:We characterize left Noetherian rings which have only trivial ...
Artemovych, O. D.
core   +1 more source

New Kind of MV-Modules

International Journal of Computational Intelligence Systems, 2020
In this paper, by considering the notion of MV-modules, which is the structure that naturally correspond to lu-modules over lu-rings, we investigate some properties of a new kind of MV-modules, that we introduced in Borzooei and Saidi Goraghani, Free MV ...
S. Saidi Goraghani, R.A. Borzooei, S.S. Ahn, Y.B. Jun   +3 more
doaj   +1 more source

Some results on PIT and GPIT theorems [PDF]

Journal of Hyperstructures, 2016
In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results.
M. Ebrahimpour
doaj   +1 more source

Essentially iso-retractable modules and rings

Karpatsʹkì Matematičnì Publìkacìï, 2022
A.K. Chaturvedi et al. (2021) call a module $M$ essentially iso-retractable if for every essential submodule $N$ of $M$ there exists an isomorphism $f : M\rightarrow N.$ We characterize essentially iso-retractable modules, co-semisimple modules ($V ...
A.K. Chaturvedi, S. Kumar, S. Prakash, N. Kumar   +3 more
doaj   +1 more source

NON-PARALLEL KRULL DIMENSION OF MODULES [PDF]

Journal of Algebraic Systems
In this paper, the concept of non-parallel Krull (resp., Noetherian) dimension of an $ R $-module are introduced and some related properties are investigated.
Nasrin Shirali, Mohammad Maschizadeh
doaj   +1 more source

Some properties of graded generalized 2-absorbing submodules

Demonstratio Mathematica, 2022
Let GG be an abelian group with identity ee. Let RR be a GG-graded commutative ring and MM a graded RR-module. In this paper, we will obtain some results concerning the graded generalized 2-absorbing submodules and their homogeneous components.
Alghueiri Shatha, Al-Zoubi Khaldoun
doaj   +1 more source

Noetherian and Artinian ordered groupoids—semigroups

International Journal of Mathematics and Mathematical Sciences, 2005
Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959.
Niovi Kehayopulu, Michael Tsingelis
doaj   +1 more source

Radicals in the class of compact right topological rings

Applied General Topology, 2014
We construct in this article three radicals in the class of compact right topological rings. We prove also that a simple left Noetherian compact right topological ring is finite.
Mihail Ursul, Adela Tripe
doaj   +1 more source