Rings with strongly algebraically closed lattices
Keywords:
strongly algebraically closed lattices, equationally Noetherian lattice, ∗-Baer rings, projection latticeAbstract
In this article, we prove that if the central idempotents lattice of a Baer ring and the projection lattice of a ∗-Baer ring center and the set of all saturated subsets of a Noetherian regular ring are q′-compact, then they are strongly algebraically closed lattice. Also, for a commutative ring R, it is shown that if the set of idempotents of a Specker R-algebra is q′-compact, then it is a strongly algebraically closed lattice.
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Published
2020-02-14
How to Cite
Molkhasi, A. (2020). Rings with strongly algebraically closed lattices. Italian Journal of Pure and Applied Mathematics, 43, 313–319. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7339
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Section
Articoli - Forum Editrice
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Copyright (c) 2020 A. Molkhasi
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
