Document Details

Document Type : Project 
Document Title :
Homological Finiteness Conditions for Some Classes of Algebras
شروط محدودية شباهية لبعض الأنواع من الجبر
 
Subject : Homological Finiteness Conditions for Some Classes of Algebras 
Document Language : Arabic 
Abstract : We will be concerned with certain K-algebras (K a commutative ring with identity). For such algebras there are finiteness conditions bi-FPn, left-FPn, right-FPn (n=1, 2, 3,...) on resolutions of such algebras. In general, bi-FPn implies left-FPn and right-FPn. However, the reverse implication is not true in general. Also, left-FPn and right-FPn are not equivalent in general. For inverse monoid algebras (and more generally, algebras with an involution), left-FPn and right-FPn are equivalent. For group algebras, and graded algebras, all three properties are equivalent. Our project is to study resolutions for significant classes of K-algebras from various sources. We will determine for certain inverse monoid algebras whether or not left-FPn (= right-FPn) is equivalent to bi-FPn. There are group algebras which are (left) FPn but not FPn+1, but it seems unknown whether the same phenomenon holds for graded algebras. We will investigate this question. 
Publishing Year : 1428 AH
2007 AD 
Sponsor Name : King Abdulaziz University 
Sponsorship Year : 1428 AH
2007 AD 
Added Date : Sunday, July 11, 2010 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمد أحمد الشمرانيAlshumrani, Mohammed AhmedInvestigatorDoctorate 

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