Brand Name: | Honeywell |
Model Number: | 51308307-175 CC-PCNT0X |
MOQ: | 1 |
Price: | Negotiations |
Yasakawa Motor, Driver SG- | Mitsubishi Motor HC-, HA- |
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Westinghouse Modules 1C-, 5X- | Emerson VE-, KJ- |
Honeywell TC-, TK- | GE Modules IC - |
Fanuc motor A0- | Yokogawa transmitter EJA- |
Working in the module category MR, we show that the category of finite cell modules over an S-algebra R gives rise to an associated algebraic K-theory spectrum KR. Specialized to the Eilenberg-Mac Lane spectra of discrete rings, this recovers Quillen's algebraic K-theory of rings. Specialized to suspension spectra Σ∞(ΩX)+ of loop spaces, it recovers Waldhausen's algebraic K-theory of spaces.
Replacing our ground ring S by a commutative S-algebra R, we define Ralgebras and commutative R-algebras in terms of maps A ∧R A −-> A, and we show that the categories of R-modules, R-algebras, and commutative R-algebras are all topological model categories. We use the model structures to study Bousfield localizations of R-modules and R-algebras. In particular, we prove that KO and KU are commutative ko and ku-algebras and therefore commutative S-algebras.
We define the topological Hochschild homology R-module THHR(A; M) of A with coefficients in an (A, A)-bimodule M and give spectral sequences for the calculation of its homotopy and homology groups. Again, classical Hochschild homology and cohomology groups are obtained by specializing the constructions to Eilenberg-Mac Lane spectra and passing to homotopy groups.