Results 111 to 120 of about 8,103 (256)
The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
The total graph and regular graph of a commutative ring [PDF]
Let R be a commutative ring. The total graph of R, denoted by T(Γ(R)) is a graph with all elements of R as vertices, and two distinct vertices x,y∈R, are adjacent if and only if x+y∈Z(R), where Z(R) denotes the set of zero-divisors of R.
Moradi, S. +5 more
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Totally elliptic surface group representations
Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
wiley +1 more source
On commutative idempotent rings [PDF]
We study the problem when a ring which is an extension of a commutative idempotent ring by a commutative idempotent ring is commutative. In particular, we answer Sands' question showing that the class of commutative idempotent rings whose every ...
E. R. Puczyłowski, R. R. Andruszkiewicz
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A birational description of the minimal exponent
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
The basic ring of a locally Artinian commutative Grothendieck category [PDF]
The context is that of a locally Artinian Grothendieck category---a Grothendieck category with a generating set of Artinian objects---which is, moreover, commutative in the sense that it has a generator with commutative endomorphism ring. C.
ORSATTI A., COLPI, RICCARDO, GREGORIO E.
core
On the topologies on ind-varieties and related irreducibility questions [PDF]
In the literature there are two ways of endowing an a ne indvariety with a topology. One possibility is due to Shafarevich and the other to Kambayashi. In this paper we specify a large class of a ne ind-varieties where these two topologies di er. We give
Stampfli, Immanuel
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Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
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Commutative ring theory proceedings of the II international conference [PDF]
Presenting the proceedings of the recently held Second International Conference on Commutative Ring Theory in Fes, Morocco, this up-to-date reference details the latest developments in commutative algebra - highlighting the theory of rings and ideals ...
Cahen, Paul-Jean
core
The essential ideal graph of a commutative ring [PDF]
Let [Formula: see text] be a commutative ring with identity. The essential ideal graph of [Formula: see text], denoted by [Formula: see text], is a graph whose vertex set is the set of all nonzero proper ideals of [Formula: see text] and two vertices ...
J. Amjadi
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