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Weakly classical 1-absorbing primary submodules
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DOI：10.1142/S1793557126500142.png)
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Abstract
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In this paper, we introduce weakly classical 1-absorbing primary submodules of an unital module over a commutative ring with nonzero identity. Consider H as a module over a ring D. A proper submodule E of H is called weakly classical 1-absorbing primary submodule, if for each nonunit alpha,beta,gamma is an element of D and mu is an element of H with 0 not equal alpha beta gamma mu is an element of E, it follows that either alpha beta mu is an element of E or gamma(t)mu is an element of E for some t >= 1. Various properties and characterizations of weakly classical 1-absorbing primary submodules are explored.
Keywords:
Weakly classical 1-absorbing primary submodules
classical 1-absorbing primary submodules
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