arXiv · 1311.0789
Rank Properties of Multiplicative Semigroup Reduct of Affine Near-Semirings over $B_n$
Abstract
This work investigates the rank properties of $A^+(B_n)$, the multiplicative semigroup reduct of the affine near-semirings over an aperiodic Brandt semigroup $B_n$. In this connection, the work obtains the small rank, lower rank and large rank of $A^+(B_n)$. Further, the work provides lower bounds for intermediate rank and upper rank of $A^+(B_n)$.
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Jitender Kumar, K. V. Krishna. 2014-02-05. Rank Properties of Multiplicative Semigroup Reduct of Affine Near-Semirings over $B_n$. https://arxiv.org/abs/1311.0789
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