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This article is cited in 43 scientific papers (total in 43 papers)
Rogers Semilattices of Families of Arithmetic Sets
S. A. Badaeva, S. S. Goncharovb a Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We look into algebraic properties of Rogers semilattices of arithmetic sets, such as the existence of minimal elements, minimal covers, and ideals without minimal elements.
Keywords:
Rogers semilattice, arithmetic set, minimal element, minimal cover, and ideal.
Received: 11.10.2000
Citation:
S. A. Badaev, S. S. Goncharov, “Rogers Semilattices of Families of Arithmetic Sets”, Algebra Logika, 40:5 (2001), 507–522; Algebra and Logic, 40:5 (2001), 283–291
Linking options:
https://www.mathnet.ru/eng/al233 https://www.mathnet.ru/eng/al/v40/i5/p507
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