Add to ORKGIn this paper, we study some properties of $S$-Noetherian modules and $S$-strong Mori modules. Among other things, we prove the Hilbert basis theorem for $S$-Noetherian modules and $S$-strong Mori modules.Comment: 15 page
summary:Let $R$ be a commutative ring and $S\subseteq R$ a given multiplicative set. Let $(M,\le )$ ...
summary:We prove that for a commutative ring $R$, every noetherian (artinian) $R$-module is quasi-in...
A constructive proof is given of the termination of the algorithm for computing standard bases in po...
Let R be a commutative ring with identity, M an R-module and S ⊆ R a multiplicative set. Then M is c...
Let R be a commutative ring with identity, M an R-module and S ⊆ R a multiplicative set. Then M is c...
We will provide some results on Hilbert modules, namely an equivalent condition forfaithful Noetheri...
Abstract. In Bishop-style constructive algebra it is known that if a module over a commutative ring ...
The famous basis theorem of David Hilbert is an important theorem in commutative algebra. In particu...
subcategory noethA which is formed by all noetherian A-modules. An A-module is locally noetherian if...
We give a constructive proof showing that every finitely generated polynomial ideal has a Gröbner ba...
Parkash and Kour obtained a new version of Cohen's theorem for Noetherian modules, which states that...
We study the seminormal basis ${f_t}$ for the Specht modules of the Iwahori-Hecke algebra ${\cal H}_...
summary:Let $A$ be a commutative ring and ${\mathcal{S}}$ a multiplicative system of ideals. We say ...
AbstractThe present article clarify the necessary and sufficient conditions for the Rees modules to ...
Consider a finite group $G$ acting on a graded Noetherian $k$-algebra $S$, for some field $k$ of cha...
summary:Let $R$ be a commutative ring and $S\subseteq R$ a given multiplicative set. Let $(M,\le )$ ...
summary:We prove that for a commutative ring $R$, every noetherian (artinian) $R$-module is quasi-in...
A constructive proof is given of the termination of the algorithm for computing standard bases in po...
Let R be a commutative ring with identity, M an R-module and S ⊆ R a multiplicative set. Then M is c...
Let R be a commutative ring with identity, M an R-module and S ⊆ R a multiplicative set. Then M is c...
We will provide some results on Hilbert modules, namely an equivalent condition forfaithful Noetheri...
Abstract. In Bishop-style constructive algebra it is known that if a module over a commutative ring ...
The famous basis theorem of David Hilbert is an important theorem in commutative algebra. In particu...
subcategory noethA which is formed by all noetherian A-modules. An A-module is locally noetherian if...
We give a constructive proof showing that every finitely generated polynomial ideal has a Gröbner ba...
Parkash and Kour obtained a new version of Cohen's theorem for Noetherian modules, which states that...
We study the seminormal basis ${f_t}$ for the Specht modules of the Iwahori-Hecke algebra ${\cal H}_...
summary:Let $A$ be a commutative ring and ${\mathcal{S}}$ a multiplicative system of ideals. We say ...
AbstractThe present article clarify the necessary and sufficient conditions for the Rees modules to ...
Consider a finite group $G$ acting on a graded Noetherian $k$-algebra $S$, for some field $k$ of cha...
summary:Let $R$ be a commutative ring and $S\subseteq R$ a given multiplicative set. Let $(M,\le )$ ...
summary:We prove that for a commutative ring $R$, every noetherian (artinian) $R$-module is quasi-in...
A constructive proof is given of the termination of the algorithm for computing standard bases in po...