For an intra-regular or a left regular and left duoordered Γ-semigroupM, we describe the principal filter ofMwhich plays an essential role in the structure of this type ofpo-Γ-semigroups. We also prove that an ordered Γ-semigroupMisintra-regular if and only if the ideals ofMare semiprime and itis left (right) regular and left (right) duo if and only if the left(right) ideals ofMare semiprime.
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Mathematics
, 2025, Issue 1, pp. 1–10
ISSN Online: 0000-0000
DOI:
10.xxxx/example-doi