Papers by Christiana Igiri
International Journal of Computer Science and Mathematical Theory (IJCSMT) E-ISSN 2545-5699 P-ISSN 26951924 Vol 10. No.1 2024 www.iiardjournals.org, 2024
This paperreviews the work ofM.I. Sampson et. Al (2023) [7], and delves into the intricate relati... more This paperreviews the work ofM.I. Sampson et. Al (2023) [7], and delves into the intricate relationship between minimal generating sets and independence in semigroups by examining the comparability of elements induced by orderings on the semigroup. It demonstrates that the existence of a minimal generating set implies independence, and conversely, independence implies the existence of a minimal generating set. Additionally, the paper presents two new algorithms: one for determining minimal generating sets for countable systems of semigroups and another for any given semigroup. These algorithms offer practical solutions for semigroup theorists and
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Papers by Christiana Igiri