On some generalized valuation monoids


Tariq Shah, Waheed Ahmad Khan




The valuation monoids and pseudo-valuation monoids have been established through valuation domains and pseudo-valuation domains respectively. In this study we continue these lines to describe the almost valuation monoids, almost pseudo-valuation monoids and pseudoalmost valuation monoids. Further we also characterized the newly described monoids as the spirit of valuation monoids pseudo-valuation monoids.