Results 31 to 40 of about 2,266 (207)

Chain conditions on composite Hurwitz series rings

Open Mathematics, 2017
In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
doaj   +1 more source

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

, 2012
It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
core   +1 more source

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

Ambiskew Hopf algebras [PDF]

, 2013
Necessary and sufficient conditions are obtained for an ambiskew polynomial algebra A over a Hopf k-algebra R to possess the structure of a Hopf algebra extending that of R, in which the added variables X+ and X- are skew primitive.
Brown, K.A., Brown, K., Macauley, M.
core   +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

Generalized hereditary Noetherian prime rings [PDF]

, 2018
The polynomial rings over hereditary Noetherian prime rings have global dimension 2 and any two-sided ideal which is either left [Formula: see text]-ideal or right [Formula: see text]-ideal is left and right projective.
E. Akalan, Akalan, E., Ueda, A., H. Marubayashi, Marubayashi, H., A. Ueda   +5 more
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