Results 281 to 290 of about 181,239 (315)
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Communications in Algebra, 2012
We establish conditions for Spec(M) to be Noetherian and spectral space, w.r.t. different topologies. We used rings with Noetherian spectrum to produce plentiful examples of modules with Noetherian spectrum that have not appeared in the literature previously. In particular, we show that every ℤ-module has Noetherian spectrum.
A. Abbasi, D. Hassanzadeh-Lelekaami
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We establish conditions for Spec(M) to be Noetherian and spectral space, w.r.t. different topologies. We used rings with Noetherian spectrum to produce plentiful examples of modules with Noetherian spectrum that have not appeared in the literature previously. In particular, we show that every ℤ-module has Noetherian spectrum.
A. Abbasi, D. Hassanzadeh-Lelekaami
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Algebra universalis, 2013
Stone's representation theorem for distributive lattices yields a dual equivalence between the category \(\mathsf{DLat}\) of (bounded) distributive lattices and that of spectral spaces, \(\mathsf{Spec}\). Several results characterizing subcategories of \(\mathsf{DLat}\) in terms of properties of their corresponding spectral spaces have appeared in the ...
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Stone's representation theorem for distributive lattices yields a dual equivalence between the category \(\mathsf{DLat}\) of (bounded) distributive lattices and that of spectral spaces, \(\mathsf{Spec}\). Several results characterizing subcategories of \(\mathsf{DLat}\) in terms of properties of their corresponding spectral spaces have appeared in the ...
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Spectral Mapping Theorems and Spectral Space-Independence
2003Motivated by the interest in spectral mapping theorems for C o-semigroups of bounded linear operators on a Banach space (see, e.g., [8]), we present here a unified approach for spectral mapping theorems for various kinds of functional calculi. As a byproduct of our investigation, and motivated by [7], we obtain that the spectrum of an operator, when ...
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The Spectral and the Maximal Spectral Space
2011Generalizing the construction of the Stone space of a boolean algebra, the set of prime ideals of every MV-algebra A is endowed with the hull-kernel (also known as Zariski, or spectral) topology. The resulting space is denoted spec(A). In contrast to the Stone space of a boolean algebra, spec(A) is generally not rich enough to uniquely characterize A ...
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Space, Spectrality, and Parability
2012In the epigraph above, Henri Lefebvre points to the necessity of analyzing space by bringing back the subject and object into the abject that constitutes social space. It seems, from a philosophical perspective, both necessary and impossible because the space of modernity, the space of the modern city and the crowd, produced a concomitant anxiety ...
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Broadband control of topological–spectral correlations in space–time beams
Nature Photonics, 2023Marco Piccardo +2 more
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