Clayton, Ashley, Reilly, Catherine and Ruškuc, Nik (2025) On the number of subdirect products involving semigroups of integers and natural numbers. Journal of Algebra and Its Applications. ISSN 0219-4988
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Abstract
In this paper, we extend a recent result that for the (additive) semigroup of positive integers ℕ, there are continuum many subdirect products of ℕ × ℕ up to isomorphism. We prove that for U,V each one of ℤ (the group of integers), ℕ 0 (the monoid of non-negative integers), or ℕ, the direct product U × V contains continuum many (semigroup) subdirect products up to isomorphism.
Item Type: | Article |
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Uncontrolled Keywords: | semigroup,indecomposable element,integer,natural number,subdirect product,applied mathematics,algebra and number theory ,/dk/atira/pure/subjectarea/asjc/2600/2604 |
Faculty \ School: | Faculty of Science Faculty of Science > School of Engineering, Mathematics and Physics |
UEA Research Groups: | Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) |
Related URLs: | |
Depositing User: | LivePure Connector |
Date Deposited: | 11 Jan 2025 01:03 |
Last Modified: | 28 Mar 2025 13:09 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/98172 |
DOI: | 10.1142/S0219498826501379 |
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