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 $A^{+}(B_n)$.

References in corpus (3)

• Affine Near-Semirings over Brandt Semigroups
• The Ranks of the Additive Semigroup Reduct of Affine Near-Semiring over Brandt Semigroup
• The Large Rank of a Finite Semigroup using Prime Subsets

Cited by in corpus (2)

• Affine Near-Semirings over Brandt Semigroups
• The Large Rank of a Finite Semigroup using Prime Subsets