In this article, we introduce (strongly) 2-absorbing ideals of monoids and generalize them to (strongly) 2-absorbing subacts of an act over monoids. Among some useful lemmas, we show that the radical ideal of a strongly 2-absorbing ideal is either a prime ideal or the intersection of two ideals which are only distinct prime ideals minimal over it. Also, we prove that for each strongly 2-absorbing ideal I of a monoid, there exists a strongly 2-absorbing S-act A such that Ann(A) = I and vice versa. Moreover, some of their basic properties are developed.
Moghaddasi, G., & Sarvghad, N. (2023). Strongly 2-absorbing subacts over monoids with unique zero. Journal of Frame and Matrix Theory, 1(1), 34-41. doi: 10.22034/jfmt.2023.417477.1006
MLA
Gholamreza Moghaddasi; Nasrin Sarvghad. "Strongly 2-absorbing subacts over monoids with unique zero". Journal of Frame and Matrix Theory, 1, 1, 2023, 34-41. doi: 10.22034/jfmt.2023.417477.1006
HARVARD
Moghaddasi, G., Sarvghad, N. (2023). 'Strongly 2-absorbing subacts over monoids with unique zero', Journal of Frame and Matrix Theory, 1(1), pp. 34-41. doi: 10.22034/jfmt.2023.417477.1006
VANCOUVER
Moghaddasi, G., Sarvghad, N. Strongly 2-absorbing subacts over monoids with unique zero. Journal of Frame and Matrix Theory, 2023; 1(1): 34-41. doi: 10.22034/jfmt.2023.417477.1006
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