A commutative algebra proof is supplied for the J-generalization of the Rogers-Ramanujan-Gordon identities by relating their generating functions to Hilbert-Poincaré series of suitably constructed graded algebras.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Introduces gsdf-absorbing submodules of modules over commutative rings, provides characterizations and properties in extensions, and fully describes them for the Z-module Z.
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$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra
A commutative algebra proof is supplied for the J-generalization of the Rogers-Ramanujan-Gordon identities by relating their generating functions to Hilbert-Poincaré series of suitably constructed graded algebras.
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Generalized square-difference factor absorbing submodules of modules over commutative rings
Introduces gsdf-absorbing submodules of modules over commutative rings, provides characterizations and properties in extensions, and fully describes them for the Z-module Z.