We extend recent results in order to construct projective resolutions for modules over twisted tensor products of truncated polynomial rings. We begin by taking note of the conditions necessary to think of these algebras as a type of Ore extension. We then use this parallel with Ore extensions to develop a method for constructing projective resolutions. Finally we use the new construction to compute a resolution for a family of examples
AbstractWe consider how a resolution of an abelian group M over Z could be lifted to a free resoluti...
AbstractA method is described for constructing the minimal projective resolution of an algebra consi...
In this article we prove the following results: 1. A monic inversion principle on polynomial exten...
We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the...
Abstract. Projective resolutions of modules over a ring R are constructed starting from appropriate ...
We provide an algorithmic method for constructing projective resolutions of modules over quotients o...
In order to study AS-regular algebras of dimension 5, we consider dimension 5 graded iterated Ore ex...
In Chapter 1, projective resolutions of modules over a ring R are constructed starting from appropri...
This thesis deals with a class of rings known as Ore extensions. An Ore extension can be described a...
Skew-polynomial rings, or Ore extensions, constitute an important class in noncommutative ring theor...
We introduce the novel concept of a resolving decomposition of a polynomial module as a combinatoria...
We introduce the novel concept of a resolving decomposition of a polynomial module as a combinatoria...
AbstractWe provide an algorithmic method for constructing projective resolutions of modules over quo...
In the book “Serre’s problem on projective modules” [42], Tsit Yuen Lam defines the class E of exten...
The relations between evaluation of Ore polynomials and pseudo-linear transformations are studied. T...
AbstractWe consider how a resolution of an abelian group M over Z could be lifted to a free resoluti...
AbstractA method is described for constructing the minimal projective resolution of an algebra consi...
In this article we prove the following results: 1. A monic inversion principle on polynomial exten...
We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the...
Abstract. Projective resolutions of modules over a ring R are constructed starting from appropriate ...
We provide an algorithmic method for constructing projective resolutions of modules over quotients o...
In order to study AS-regular algebras of dimension 5, we consider dimension 5 graded iterated Ore ex...
In Chapter 1, projective resolutions of modules over a ring R are constructed starting from appropri...
This thesis deals with a class of rings known as Ore extensions. An Ore extension can be described a...
Skew-polynomial rings, or Ore extensions, constitute an important class in noncommutative ring theor...
We introduce the novel concept of a resolving decomposition of a polynomial module as a combinatoria...
We introduce the novel concept of a resolving decomposition of a polynomial module as a combinatoria...
AbstractWe provide an algorithmic method for constructing projective resolutions of modules over quo...
In the book “Serre’s problem on projective modules” [42], Tsit Yuen Lam defines the class E of exten...
The relations between evaluation of Ore polynomials and pseudo-linear transformations are studied. T...
AbstractWe consider how a resolution of an abelian group M over Z could be lifted to a free resoluti...
AbstractA method is described for constructing the minimal projective resolution of an algebra consi...
In this article we prove the following results: 1. A monic inversion principle on polynomial exten...