Kniha Stanley Conjecture and Regularity on Monomial Ideals Imran Anwar

Stanley Conjecture and Regularity on Monomial Ideals

Stanley conjecture, Janet's Algorithm and Regularity on Monomial Ideals

Autor: Imran Anwar
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 8-11 dnů
967
In the first chapter some basic notions and results from commutative algebra are being introduced al...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2009
Stránek
60
EAN
9783838324784
Enbook ID
06860561
Hmotnost
107
Rozměry
150 x 220 x 4

Kompletní popis

In the first chapter some basic notions and results from commutative algebra are being introduced along with a description on the progress towards the Stanley s conjecture. In the second chapter, we have discussed the Stanley s conjecture for a polynomial ring over a field in four variables. In the case of polynomial ring in five variables, we have presented that the monomial ideals with all associated primes of height two, are Stanley ideals. Moreover, we have introduced the Janet s algorithm for the Stanley decomposition of a monomial ideal and discussed the Janet s algorithm for the squarefree Stanley decomposition of squarefree monomial ideal. We conclude the chapter with the discussion of the Janet s algorithm for the partition of a simplicial complex. In the third and last chapter, we have discussed the regularity of monomial ideals in a polynomial ring in n variables, whose associated prime ideals are totally ordered by inclusion.

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