An additional structure over integer rings mathbb{Z}_(p^r)^n
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🧮 math.RA
keywords
structureintegermodulesringsadditionalalgebraalgebraicallows
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We present an algebraic structure in modules over integer rings with cardinality prime powers, which allows to define bases. With such structure, we prove a similar version for the basis extension theorem of linear algebra over fields. Moreover, we exhibit results involving the modules and their duals.
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