{"product_id":"stanley-conjecture-and-regularity-on-monomial-ideals-von-imran-anwar","title":"Stanley Conjecture and Regularity on Monomial Ideals","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838324784\"\u003e\u003ch3\u003eStanley conjecture, Janet''s Algorithm and Regularity on Monomial Ideals\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838324784","offer_id":39498932093021,"sku":"9783838324784","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/f1007499-bbbc-4090-9444-c4ac3e1d9aa9.jpg?v=1757743843","url":"https:\/\/shop.autorenwelt.de\/products\/stanley-conjecture-and-regularity-on-monomial-ideals-von-imran-anwar","provider":"Autorenwelt Shop","version":"1.0","type":"link"}