Add to ORKGThis dissertation is concerned with algebraic objects related to, or defined by, monomials, such as monomial orders, toric rings and piecewise lex ideals. The main results include the fact that for any \u27n\u27 there exist monomial orders that are not uniquely defined by their induced orders; the fact that the multi-Rees algebra of the direct sum of principal strongly stable ideals is a Koszul Cohen-Macaulay normal domain, if the generating monomials satisfy an ordering property; and a property of piecewise lex ideals
This thesis explores two topics in commutative algebra. The first topicis Betti tables, particularly...
Let k be a field and S = k [x1 , . . . , xn ] a polynomial ring. This thesis considers the structure...
This thesis explores two topics in commutative algebra. The first topicis Betti tables, particularly...
This work covers three important aspects of monomials ideals in the three chapters "Stanley decompos...
Monomial ideals form an important link between commutative algebra and combinatorics. Our aim is to ...
Monomial ideals form an important link between commutative algebra and combinatorics. Our aim is to ...
In this paper we give a combinatorial characterization of monomial ideals of the polynomial ring ...
In this thesis, we focus on the study of some classes of monomial ideals, namely lexsegment ideals a...
Texto completo: acesso restrito. p.389–416We study algebras defined by finite sets G = {M1, ..., Mq}...
My PhD-project has two main research directions. The first direction is on partial regularities whic...
Historically, the study of monomial ideals became fashionable after the pioneering work by Richard S...
In this paper we consider some subalgebras of the d\u2013th Veronese subring of a polynomial ring, g...
My thesis focuses on a special type of ideals of a polynomial ring, specifically\ud normal toric ide...
The main aim of this work is to study several topics in monomial ideals. Generally,monomial ideals p...
We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given ...
This thesis explores two topics in commutative algebra. The first topicis Betti tables, particularly...
Let k be a field and S = k [x1 , . . . , xn ] a polynomial ring. This thesis considers the structure...
This thesis explores two topics in commutative algebra. The first topicis Betti tables, particularly...
This work covers three important aspects of monomials ideals in the three chapters "Stanley decompos...
Monomial ideals form an important link between commutative algebra and combinatorics. Our aim is to ...
Monomial ideals form an important link between commutative algebra and combinatorics. Our aim is to ...
In this paper we give a combinatorial characterization of monomial ideals of the polynomial ring ...
In this thesis, we focus on the study of some classes of monomial ideals, namely lexsegment ideals a...
Texto completo: acesso restrito. p.389–416We study algebras defined by finite sets G = {M1, ..., Mq}...
My PhD-project has two main research directions. The first direction is on partial regularities whic...
Historically, the study of monomial ideals became fashionable after the pioneering work by Richard S...
In this paper we consider some subalgebras of the d\u2013th Veronese subring of a polynomial ring, g...
My thesis focuses on a special type of ideals of a polynomial ring, specifically\ud normal toric ide...
The main aim of this work is to study several topics in monomial ideals. Generally,monomial ideals p...
We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given ...
This thesis explores two topics in commutative algebra. The first topicis Betti tables, particularly...
Let k be a field and S = k [x1 , . . . , xn ] a polynomial ring. This thesis considers the structure...
This thesis explores two topics in commutative algebra. The first topicis Betti tables, particularly...