Journal of AlgebraHomological properties of cochain Differential Graded algebras - Frankild, J酶rgensen - 2008 () Citation Context ...lgebras This section provides some results on cochain Differential Graded (DG)
The Differential Graded Odd NilHecke Algebra Article 19 January 2016 DG polynomial algebras and their homological properties Article 27 April 2018 References D. Apassov,Homological dimensions over differential graded rings, inComplexes and Differential Graded Modules, Ph.D. thesis, Lund University, ...
We will argue that the latter ring has a nonzero element of degree 1 which commutes (in the graded sense) with every other element of degree 1, whereas the former ring has no such element. Since Aǫ is a Z/p-algebra, H(P2Aǫ) is an HZ/p-algebra. In particular, the map HZ...
For connected Lie groups this writes simpler: , where g = Lie(G) is the corresponding Lie algebra. Denote by ℐk the algebra of differential invariants of order ≤ k. Then ℐ = ∪ℐk is a filtered algebra, with the associated graded algebra D = ⊕Dk called the algebra of co...
Gukov, M. Stosic, Quadruply-graded colored homology of knots (2013). arXiv:1304.3481 [math.QA] S. Gukov, M. Stošić, Homological algebra of knots and bps states, in Proc. Symp. Pure Math. 85 Ed. by J. Block, J. Distler, R. Donagi, E. Sharpe, pp 125–172 (2012). https...
ferential graded modules are endowed with gradings for which the differential is homogeneous. The use of these gradings in homological arguments is so instinctive and pervasive that intuition may falter when they are not available. 4 L. L. AVRAMOV, R.-O. BUCHWEITZ, AND S. IYENGAR A ...
D. Pauksztello, Homological epimorphisms of differential graded algebras, arXiv: math.RA/0705.0118v1.D. Pauksztello, Homological epimorphisms of Differential Graded algebras, Comm. Algebra 37 (2009), 2337-2350.David Pauksztello, Homological epimorphisms of differential graded algebras, Comm. ...
A´ lvarez V, Armario JA, Frau MD, Gonza´lez-D´iaz R, Jime´nez MJ, Real P, Silva B (2000) Computing "small" 1-homological models for commutative differential graded algebras. In: Ganzha V, Mayr E, Vorozhtsov E (eds) Computer Algebra in Scientific Computing, Springer Berlin...
Let us still stress that the special behavior of the noncommutative ringturns out to be a source of possibilities, as well as a source of problems. For instance, a differential graded commutative algebra over a field or a commutative ringkis a commutative monoid in the category of differential...
Some homological theory of LCSs will be used (see [39] and references therein) For instance, for an inductive spectrum of LCSs of the form(X_k)=(X_0\subset X_1\subset \cdots ), the condition of beingacycliccan be described as follows [39, Theorem 6.1]: for allk, there is some...