Article in volume
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Title:
Strongly $E$-inversive semirings
PDFSource:
Discussiones Mathematicae - General Algebra and Applications 43(2) (2023) 375-387
Received: 2022-01-30 , Revised: 2022-07-12 , Accepted: 2022-07-12 , Available online: 2023-10-17 , https://doi.org/10.7151/dmgaa.1428
Abstract:
$E$-inversive semigroups have been the topic of research for many years.
Properties of $E$-inversive semigroups were studied by Edward [1],
Mitsch [9] and many others. In [2], 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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