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458,586
Stabilization of model categories
, 1998
"... monoidal structure which is compatible with the model structure. Given a monoidal model category, we consider the homotopy theory of modules over a given monoid and the homotopy theory of monoids. We make minimal assumptions on our model categories; our results therefore are more general, yet weaker ..."
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Cited by 324 (12 self)
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monoidal structure which is compatible with the model structure. Given a monoidal model category, we consider the homotopy theory of modules over a given monoid and the homotopy theory of monoids. We make minimal assumptions on our model categories; our results therefore are more general, yet
Outline of a Theory of Intelligence
 IEEE TRANSACTIONS ON SYSTEMS, MAN AND CYBERNETICS
, 1991
"... Intelligence is defined as that which produces successful behavior. Intelligence is assumed to result from natural selection. A model is proposed that integrates knowledge from research in both natural and artificial systems. The model consists of a hierarchical system architecture wherein: 1) cont ..."
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Cited by 265 (14 self)
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higher level, and 4) models of the world and memories of events expand their range in space and time by about an orderofmagnitude at each higher level. At each level, functional modules perform behavior generation (task decomposition planning and execution), world modeling, sensory processing
Module theory over Leavitt path algebras and
 Ktheory, Preprint. PERE ARA AND MIQUEL BRUSTENGA
"... Abstract. Let k be a field and let E be a finite quiver. We study the structure of the finitely presented modules of finite length over the Leavitt path algebra Lk(E) and show its close relationship with the finitedimensional representations of the inverse quiver E of E, as well as with the class o ..."
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Cited by 12 (3 self)
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of finitely generated Pk(E)modules M such that Tor Pk(E) q (kE0, M) = 0 for all q, where Pk(E) is the usual path algebra of E. By using these results we compute the higher Ktheory of the von Neumann regular algebra Qk(E) = Lk(E)Σ−1, where Σ is the set of all square matrices over Pk(E) For a field k
New Proof For A Blind Equalization Result: A Module Theory Approach
"... In theblin equalization problem, o ncan recen tly observe that the sought unF8 wn filter can be performed from the sole kn wledge of secon order statistics of the received sign5# Accordin to this fact, a powerful algorithm which is the socalled subspace method has been developed. The subspace method ..."
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method was previously described in ratio n l spaces framework which seemed to beun ppropriated. In/5## the filter toiden tify is polyn mial. In this paper, we show how the module theory over the polyn omial rin g # [z] an) in particular, the duality of modules can highlight the previous proof
SOME REGULAR DIRECTSUM DECOMPOSITIONS IN MODULE THEORY
"... Abstract. We review recent results about a weak form of the KrullSchmidt Theorem that holds in some classes of modules. 1. ..."
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Abstract. We review recent results about a weak form of the KrullSchmidt Theorem that holds in some classes of modules. 1.
LINEAR ALGEBRA FROM MODULE THEORY PERSPECTIVE
"... We provide here a list of linear algebra theorems that can be done easily by structure theorems. Lemma 1.1 (Smith Normal Form). Let A be a nonzero m × n matrix over a principal ideal domain(PID) R. There exist invertible m × m and n × n ..."
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We provide here a list of linear algebra theorems that can be done easily by structure theorems. Lemma 1.1 (Smith Normal Form). Let A be a nonzero m × n matrix over a principal ideal domain(PID) R. There exist invertible m × m and n × n
Requirements for Internet Hosts  Application and Support
 STD 3, RFC 1123, IETF
, 1989
"... This RFC is an official specification for the Internet community. It incorporates by reference, amends, corrects, and supplements the primary protocol standards documents relating to hosts. Distribution of this document is unlimited. Summary This RFC is one of a pair that defines and discusses the r ..."
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Cited by 319 (1 self)
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This RFC is an official specification for the Internet community. It incorporates by reference, amends, corrects, and supplements the primary protocol standards documents relating to hosts. Distribution of this document is unlimited. Summary This RFC is one of a pair that defines and discusses the requirements for Internet host software. This RFC covers the application and support protocols; its companion RFC1122 covers the communication protocol layers: link layer, IP layer, and transport layer.
Algebras and Modules in Monoidal Model Categories
 Proc. London Math. Soc
, 1998
"... In recent years the theory of structured ring spectra (formerly known as A #  and E # ring spectra) has been signicantly simplified by the discovery of categories of spectra with strictly associative and commutative smash products. Now a ring spectrum can simply be dened as a monoid with respect t ..."
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Cited by 231 (30 self)
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, algebras, and modules. This includes, but is not limited to, each of the new theories of ring spectra. One model for structured ring spectra is given by the Salgebras of [##]. This example has the special feature that every object is brant, which makes it easier to fo...
MODULATION THEORY FOR SELFFOCUSING IN THE NONLINEAR SCHRÖDINGERHELMHOLTZ EQUATION
, 811
"... Abstract. The nonlinear SchrödingerHelmholtz (SH) equation in N space dimensions with 2σ nonlinear power was proposed as a regularization of the classical nonlinear Schrödinger (NLS) equation. It was shown that the SH equation has a larger regime (1 ≤ σ < 4) of global existence and uniqueN ness ..."
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Cited by 1 (1 self)
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N ness of solutions compared to that of the classical NLS (0 < σ < 2). In the limiting case where the N SchrödingerHelmholtz equation is viewed as a perturbed system of the classical NLS equation, we apply modulation theory to the classical critical case (σ = 1, N = 2) and show
Results 11  20
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458,586