In this paper we study a monomial module M generated by an s-sequence and the main algebraic and homological invariants of the symmetric algebra of M. We show that the first syzygy module of a finitely generated module M, over any commutative Noetherian ring with unit, has a specific initial module with respect to an admissible order, provided M is generated by an s-sequence. Significant examples complement the results
Modern categories of spectra such as that of Elmendorf et al equipped with strictly symmetric mono...
Symmetric homology is an analog of cyclic homology in which the cyclic groups are replaced by symmet...
Let R be a commutative noetherian ring and $f_1,..., f_r$ $\in R$. In this article we give (cf. the...
We consider the symmetric algebra of the first syzygy module of a monomial ideal generated by an s-s...
Let A be a commutative Noetherian ring, and let R = A[X] be the polynomial ring in an infinite colle...
summary:Let $(R,\frak {m})$ be a standard graded $K$-algebra over a field $K$. Then $R$ can be writt...
AbstractA different proof of the fact that the first syzygy module of minors of certain size defined...
of modules over an S-algebra (A1 or E1 ring spectrum) has many of the good properties of the categor...
Abstract. The aim of this note is to understand under which conditions invertible modules over a com...
Abstract. Let R be a commutative ring and S ⊆ R a given multiplicative set. Let (M,≤) be a strictly ...
We consider ideals generated by linear forms in the variables X1 : : : ;Xn in the polynomial ring R[...
A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N d...
AbstractLet M be a finite module over a ring R obtained from a commutative ring Q by factoring out a...
The aim of this note is to understand under which conditions invertible modules over a commutative S...
A monomial order ideal is a finite collection $ X$ of (monic) monomials such that, whenever $ M\in X...
Modern categories of spectra such as that of Elmendorf et al equipped with strictly symmetric mono...
Symmetric homology is an analog of cyclic homology in which the cyclic groups are replaced by symmet...
Let R be a commutative noetherian ring and $f_1,..., f_r$ $\in R$. In this article we give (cf. the...
We consider the symmetric algebra of the first syzygy module of a monomial ideal generated by an s-s...
Let A be a commutative Noetherian ring, and let R = A[X] be the polynomial ring in an infinite colle...
summary:Let $(R,\frak {m})$ be a standard graded $K$-algebra over a field $K$. Then $R$ can be writt...
AbstractA different proof of the fact that the first syzygy module of minors of certain size defined...
of modules over an S-algebra (A1 or E1 ring spectrum) has many of the good properties of the categor...
Abstract. The aim of this note is to understand under which conditions invertible modules over a com...
Abstract. Let R be a commutative ring and S ⊆ R a given multiplicative set. Let (M,≤) be a strictly ...
We consider ideals generated by linear forms in the variables X1 : : : ;Xn in the polynomial ring R[...
A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N d...
AbstractLet M be a finite module over a ring R obtained from a commutative ring Q by factoring out a...
The aim of this note is to understand under which conditions invertible modules over a commutative S...
A monomial order ideal is a finite collection $ X$ of (monic) monomials such that, whenever $ M\in X...
Modern categories of spectra such as that of Elmendorf et al equipped with strictly symmetric mono...
Symmetric homology is an analog of cyclic homology in which the cyclic groups are replaced by symmet...
Let R be a commutative noetherian ring and $f_1,..., f_r$ $\in R$. In this article we give (cf. the...
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