Książka 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
Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 8-11 dni
181.43
In the first chapter some basic notions and results from commutative algebra are being introduced al...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2009
strony
60
EAN
9783838324784
Enbook ID
06860561
Waga
107
Wymiary
150 x 220 x 4

Pełny opis

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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