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Algebras and Smarandache Types
Version 1
: Received: 4 November 2018 / Approved: 5 November 2018 / Online: 5 November 2018 (12:53:07 CET)
How to cite: Kim, H.S.; Neggers, J.; Ahn, S.S. Algebras and Smarandache Types. Preprints 2018, 2018110117. https://doi.org/10.20944/preprints201811.0117.v1 Kim, H.S.; Neggers, J.; Ahn, S.S. Algebras and Smarandache Types. Preprints 2018, 2018110117. https://doi.org/10.20944/preprints201811.0117.v1
Abstract
If an algebra of type $A$ contains a subalgebra
which is also an algebra of type $B$, then it is a Smarandache $B$-type $A$-algebra provided the subalgebra of type $B$ contains at least two elements. This generalizes the notion of Smarandache
group, where the group of order $\geq 2$ is a subsemigroup of a semigroup.
In this paper we investigate a number of such pairings
and we deduce a number of conclusions as a consequence.
Keywords
Smarandache algebra; point algebra; $p$-derived algebra.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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