Abstract
Objectives: In the widened area of near semi rings, this article speaks about the interventions of a specific sub structure. Methods: Heading towards a more unique functionality, the chosen sub structure is intervened with regularity, homomorphism and also checked for weak commutative idempotency. Findings: The desired sub-structure is descried to have been preserved under homomorphism and is also found to be isomorphic to sub direct products of sub-directly irreducible sub structures. Novelty: Few descriptions and differences on weak commutative regularity and regular idempotency has been expounded. Keen and expanded utterance of Pierce Decomposition near semi ring functionalities have made the desired near semi ring to be closer to nil but not exactly a deeper nil near semi ring. Keywords: Regularity, Homomorphism, Weak commutativity, Idempotency, Subdirectly irreducible, Pierce decomposition
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