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Ndifferential graded algebras
, 2008
"... We introduce the concept of Ndifferential graded algebras (Ndga), and study the moduli space of deformations of the differential of a Ndga. We prove that it is controlled by what we call the NMaurerCartan equation. ..."
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We introduce the concept of Ndifferential graded algebras (Ndga), and study the moduli space of deformations of the differential of a Ndga. We prove that it is controlled by what we call the NMaurerCartan equation.
The Geometry of AGraded Algebras
, 1994
"... We study algebras k[x1,..., xn]/I which admit a grading by a subsemigroup of N d such that every graded component is a onedimensional kvector space. V.I. Arnold and coworkers proved that for d = 1 and n ≤ 3 there are only finitely many isomorphism types of such Agraded algebras, and in these case ..."
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Cited by 12 (1 self)
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We study algebras k[x1,..., xn]/I which admit a grading by a subsemigroup of N d such that every graded component is a onedimensional kvector space. V.I. Arnold and coworkers proved that for d = 1 and n ≤ 3 there are only finitely many isomorphism types of such Agraded algebras
Hilbert Norms For Graded Algebras
, 2000
"... This paper presents a solution to a problem from superanalysis about the existence of HilbertBanach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinitedimensional superalgebras included) with respect to which the multiplication is continuous. ..."
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This paper presents a solution to a problem from superanalysis about the existence of HilbertBanach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinitedimensional superalgebras included) with respect to which the multiplication is continuous
Killing of supports on graded algebras
, 2005
"... Killing of supports along subsets U of a group G and regradings along certain maps of groups ϕ: G ′ − → G are studied, in the context of groupgraded algebras. We show that, under precise conditions on U and ϕ, the module theories over the initial and the final algebras are functorially wellconnect ..."
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Cited by 1 (0 self)
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Killing of supports along subsets U of a group G and regradings along certain maps of groups ϕ: G ′ − → G are studied, in the context of groupgraded algebras. We show that, under precise conditions on U and ϕ, the module theories over the initial and the final algebras are functorially well
On nonstandard graded algebras
, 2005
"... Positively graded algebras are fairly natural objects which are arduous to be studied. In this article we query quotients of nonstandard graded polynomial rings with combinatorial and commutative algebra methods. CONTENTS 1 Weighted generic initial ideals 4 1.1 Existence of the generic initial idea ..."
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Positively graded algebras are fairly natural objects which are arduous to be studied. In this article we query quotients of nonstandard graded polynomial rings with combinatorial and commutative algebra methods. CONTENTS 1 Weighted generic initial ideals 4 1.1 Existence of the generic initial
Homological epimorphisms of differential graded algebras
"... Abstract. Let R and S be differential graded algebras. In this paper we give a characterisation of when a differential graded RSbimodule M induces a full embedding of derived categories ..."
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Cited by 8 (0 self)
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Abstract. Let R and S be differential graded algebras. In this paper we give a characterisation of when a differential graded RSbimodule M induces a full embedding of derived categories
CohenMacaulayness in graded algebras
 Math. Res. Letters
, 1994
"... CohenMacaulayness of Rees algebras and associated graded rings of ideals has been actively investigated in recent years, cf. e.g., [AH], [AHT], [GN], [JK], and their references. We illustrate here how some methods introduced by Sancho de Salas in [SS] yield additional insights in this area. For one ..."
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Cited by 17 (0 self)
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CohenMacaulayness of Rees algebras and associated graded rings of ideals has been actively investigated in recent years, cf. e.g., [AH], [AHT], [GN], [JK], and their references. We illustrate here how some methods introduced by Sancho de Salas in [SS] yield additional insights in this area
HZalgebra spectra are differential graded algebras
 Amer. Jour. Math
, 2004
"... Abstract: We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of HZalgebra spectra. Namely, we construct Quillen equivalences between the Quillen model categories of (unbounded) differential graded algebras and HZalgebra spectra. We also construct Qu ..."
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Cited by 62 (13 self)
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Abstract: We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of HZalgebra spectra. Namely, we construct Quillen equivalences between the Quillen model categories of (unbounded) differential graded algebras and HZalgebra spectra. We also construct
RECOLLEMENT FOR DIFFERENTIAL GRADED ALGEBRAS
, 2005
"... Abstract. A recollement of triangulated categories describes one such category as being “glued together ” from two others. This paper gives a precise criterion for the existence of a recollement ..."
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Cited by 11 (0 self)
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Abstract. A recollement of triangulated categories describes one such category as being “glued together ” from two others. This paper gives a precise criterion for the existence of a recollement
Results 1  10
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2,953