A Few Observations and Some New Results on AB-algebras

Abstract The notion of AB-algebras was introduced in 2017 by Hameed and Abbas. Subsequently, this class of algebras was the subject of study by several authors. In this paper, in addition to giving an overview of some of the results and assertions about this class of...

Fuzzy Weak-interior Ideals of Semirings

Abstract In this paper, we introduce the notion of a fuzzy weak interior ideal as a generalization of a fuzzy ideal of a semiring. We characterize the regular semiring in terms of fuzzy weak interior ideals of a semiring.

Revisiting an Existing Integral Inequality

Abstract In this article, we revisit a well-known result from the literature that can be considered a variant of the Hardy integral inequality. First, we present a counterexample to demonstrate the invalidity of the current formulation. We then revise the result by...

On Some Results about Bipolar Soft Ideals of Gamma Near-rings

Abstract With the advancement of scientific studies, problems involving uncertainty have emerged. Classical mathematics needed to be more robust to model or make sense of these uncertain problems. Due to this insufficiency, scientists have put forward new theories....