Radicals and Ideals of Affine Near-semirings over Brandt Semigroups
Jitender Kumar, K. V. Krishna
TL;DR
This paper characterizes the algebraic structure of affine near-semirings over Brandt semigroups by determining their right ideals, radicals, congruences, and ideals, providing a comprehensive structural analysis.
Contribution
It provides a complete description of the right ideals, radicals, congruences, and ideals of affine near-semirings over Brandt semigroups, which was not previously known.
Findings
All right ideals of the affine near-semirings are characterized.
Radicals of these near-semirings are explicitly described.
Congruences and ideals are fully classified.
Abstract
This work obtains all the right ideals, radicals, congruences and ideals of the affine near-semirings over Brandt semigroups.
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