We prove that every Commutative differential graded algebra whose cohomology is a simply-connected Poincare duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincare duality in the same dimension. This has applications in rational homotopy, giving ...
1) commutative graded R-algebra 交换分次R代数2) differential form of degree r r次微分形式3) Commutative algebra 交换代数 1. Lifting of derivations over finite-dimensionally commutative algebras; 有限维交换代数上导子的提升 2. This paper puts forward the formula of root and the relationship ...
Poincare duality and commutative differential graded algebras We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincare duality algebra is quasi-isomorphic to one whos... P Lambrechts,D Stanley - 《Annales Scientifiques De L École Normale Supérieure》...
CUBA (redirected fromCommutative, Unital Banach Algebra) AcronymDefinition CUBAClub Universitario de Buenos Aires(amateur rugby club) CUBAChinese University Basketball Association CUBACitizens United for the Bush Agenda(now Citizens United; Washington, DC) ...
In his 1956 study [184], Tate showed that k had a free R-module resolution F* which was a graded-commutative differential graded algebra, and used this to show that if R is not regular then PR(t) ⩾ (1 + t)b1/(1 – t2), i.e. that bi is at least (b1i)+(b1i−2)+...
For R=Q/J with Q a commutative graded algebra over a field and J non-zero, we relate the slopes of the minimal resolutions of R over Q and of k=R/R_{+} ove... LL Avramov,A Conca,SB Iyengar - 《Mathematical Research Letters》 被引量: 45发表: 2010年 Commutative Ideals in BE-a...
Define Commutative law. Commutative law synonyms, Commutative law pronunciation, Commutative law translation, English dictionary definition of Commutative law. adj. 1. Relating to, involving, or characterized by substitution, interchange, or exchange. 2.
where[Math Processing Error]is the free algebra on[Math Processing Error]. It is clear that for no value of the deformation parameterqthis algebra becomes commutative, or even graded commutative. On[Math Processing Error]there is a well-defined differential-difference equation ...
Simple graded commutative algebras We study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The main examples are the Clifford algebras already treated in H. A... S Morier-Genoud,V Ovsienko - 《Journal of Algebra》 被引量: 38发表: 2010年 Commutative Banach alg...
Recent years have seen an explosion in the use of differential graded (DG) techniques in commutative algebra. The study of DG-rings encompasses the affine theory of derived algebraic geometry, but also feeds back into commutative algebra via the viewpoint that DG-rings are resolutions of ordinary...