Properties of factor R Γ –semimodules over Γ–semirings
Tilak Raj Sharma, Hitesh Kumar Ranote
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Source: Crossref
Published: Oct 9, 2026
DOI: 10.1142/s1793557126501391
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This paper investigates several classes of [Formula: see text]semimodules including information [Formula: see text]semimodules, [Formula: see text]austere semimodules, [Formula: see text] subsemimodules, multiplication [Formula: see text]semimodules and prime [Formula: see text]subsemimodules. We further examine the structure of factor [Formula: see text]semimodules [Formula: see text] over a [Formula: see text] semiring [Formula: see text]. In particular, we establish that if [Formula: see text] is a cancellative [Formula: see text] semimodule and [Formula: see text] is a prime [Formula: see text]subsemimodule of [Formula: see text] with [Formula: see text], then there exists a one to one correspondence between prime [Formula: see text]subsemimodule of [Formula: see text] semimodule [Formula: see text] and prime [Formula: see text] subsemimodule of [Formula: see text] containing [Formula: see text].
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