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Generalized ideals in ordered left almost semigroups

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In this paper, we introduce the concept of (m, n)-ideals in a non-associative ordered structure called an ordered $$\mathcal {LA}$$LA-semigroup. We also study the (m, n)-regular class of an ordered $$\mathcal {LA}$$LA-semigroup… Click to show full abstract

In this paper, we introduce the concept of (m, n)-ideals in a non-associative ordered structure called an ordered $$\mathcal {LA}$$LA-semigroup. We also study the (m, n)-regular class of an ordered $$\mathcal {LA}$$LA-semigroup in terms of (m, n)-ideals.

Keywords: generalized ideals; ideals ordered; left almost; ordered left; almost semigroups

Journal Title: Afrika Matematika
Year Published: 2017

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