Local almost periodicity and direct limits of semigroup compactifications
Sign Up to like & getrecommendations! Published in 2019 at "Semigroup Forum"
DOI: 10.1007/s00233-019-10052-x
Abstract: A direct limit \(S := \lim _\rightarrow S_i\) of semitopological semigroups \(S_i\) is again a semitopological semigroup and so has a weakly almost periodic (WAP) compactification \(S^w\). However, the usefulness of \(S^w\) is limited since… read more here.
Keywords: direct limits; semigroup compactifications; periodicity direct; almost periodicity ... See more keywords
Direct limits of generalized pseudo-effect algebras with the Riesz decomposition properties
Sign Up to like & getrecommendations! Published in 2019 at "Soft Computing"
DOI: 10.1007/s00500-018-3121-1
Abstract: In this paper, we focus on direct limits and inverse limits in the category with generalized pseudo-effect algebras (GPEAs for short) as objects and GPEA-morphisms as morphisms. We show that direct limits exist in the… read more here.
Keywords: pseudo effect; direct limits; riesz decomposition; generalized pseudo ... See more keywords
Tensor products and direct limits of almost Cohen–Macaulay modules
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498818502213
Abstract: We investigate the almost Cohen–Macaulay property and the Serre-type condition [Formula: see text] for noetherian algebras and modules. More precisely, we find permanence properties of these conditions with respect to tensor products and direct limits. read more here.
Keywords: tensor products; direct limits; cohen macaulay; products direct ... See more keywords
Direct limits of adèle rings and their completions
Sign Up to like & getrecommendations! Published in 2020 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2020.50.1021
Abstract: The ad\`ele ring $\mathbb A_K$ of a global field $K$ is a locally compact, metrizable topological ring which is complete with respect to any invariant metric on $\mathbb A_K$. For a fixed global field $F$… read more here.
Keywords: limits rings; mathbb; rings completions; direct limits ... See more keywords