arXiv
Open Access
2025
On Union of Regular Near-rings
Rajlaxmi Mukherjee
Tuhin Manna
Kamalika Chakraborty
Sujit Kumar Sardar
Abstrak
'A semigroup is completely regular if and only if it is a union of groups'- an analogue of this structure theorem of completely regular semigroup has been obtained in the setting of seminearrings in [[16], Mukherjee (Pal) et al., Semigroup Forum (2018)]. In it, a class of seminearrings (called generalized left completely regular seminearrings, abbreviated as GLCR) has been characterized as a union of near-rings. This work has been extended in the present article to characterize the seminearrings which are union of various types (regular, completely regular, inverse, Clifford) of regular near-rings.
Topik & Kata Kunci
Penulis (4)
R
Rajlaxmi Mukherjee
T
Tuhin Manna
K
Kamalika Chakraborty
S
Sujit Kumar Sardar
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- 2025
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