Geodesic
Strongly $E$-inversive semirings
Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 2, pp. 375-387

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E-inversive semigroups have been the topic of research for many years. Properties of E-inversive semigroups were studied by Edward [1], Mitsch [2] and many others. In , Ghosh defined E-inversive semiring and studied its properties. According to him, an additively commutative semiring is called E-inversive semiring if and only if its additive reduct is an E-inversive semigroup. In this paper, we define strongly E-inversive semiring and study its properties.
Keywords: E-inversive semigroup, E-inversive semiring, strongly E-inversive semiring, skew-ring 
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Bag, Moumita. Strongly $E$-inversive semirings. Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 2, pp. 375-387. http://geodesic.mathdoc.fr/item/DMGAA_2023_43_2_a13/