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arXiv · 1301.6438

Affine Near-Semirings over Brandt Semigroups

Jitender Kumar·K. V. Krishna
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Abstract

In order to study the structure of $A^+(B_n)$ -- the affine near-semiring over a Brandt semigroup -- this work completely characterizes the Green's classes of its semigroup reducts. In this connection, this work characterizes the elements of $A^+(B_n)$ and reports the size of $A^+(B_n)$. Further, idempotents and regular elements of the semigroup reducts of $A^+(B_n)$ have also been characterized and studied some relevant semigroups in $A^+(B_n)$.

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Jitender Kumar, K. V. Krishna. 2013-08-08. Affine Near-Semirings over Brandt Semigroups. https://doi.org/10.1080/00927872.2013.833211

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