structure theorem for finitely generated modules over a principal ideal domain

Summary

structure theorem for finitely generated modules over a principal ideal domain is a theorem^[1]. It draws 138 Wikipedia views per month (theorem category, ranking #196 of 1,306).^[2]

Key Facts

• structure theorem for finitely generated modules over a principal ideal domain's instance of is recorded as theorem^[3].
• structure theorem for finitely generated modules over a principal ideal domain's part of is recorded as list of theorems^[4].
• structure theorem for finitely generated modules over a principal ideal domain's Freebase ID is recorded as /m/02pwhps^[5].
• structure theorem for finitely generated modules over a principal ideal domain's different from is recorded as Smith normal form^[6].
• structure theorem for finitely generated modules over a principal ideal domain's different from is recorded as fundamental theorem of finitely generated abelian groups^[7].
• structure theorem for finitely generated modules over a principal ideal domain's defining formula is recorded as M \cong R/(d_1) \oplus R/(d_2) \oplus \dots \oplus R/(d_n); d_1 | d_2 | \dots | d_n; d_i \in R^[8].
• structure theorem for finitely generated modules over a principal ideal domain's studied by is recorded as module theory^[9].
• structure theorem for finitely generated modules over a principal ideal domain's nLab ID is recorded as structure theorem for finitely generated modules over a principal ideal domain^[10].
• structure theorem for finitely generated modules over a principal ideal domain's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• structure theorem for finitely generated modules over a principal ideal domain's Microsoft Academic ID is recorded as 2776898475^[12].
• structure theorem for finitely generated modules over a principal ideal domain's in defining formula is recorded as M^[13].
• structure theorem for finitely generated modules over a principal ideal domain's in defining formula is recorded as R^[14].
• structure theorem for finitely generated modules over a principal ideal domain's in defining formula is recorded as /^[15].
• structure theorem for finitely generated modules over a principal ideal domain's in defining formula is recorded as (\dots)^[16].
• structure theorem for finitely generated modules over a principal ideal domain's in defining formula is recorded as |^[17].

Why It Matters

structure theorem for finitely generated modules over a principal ideal domain draws 138 Wikipedia views per month (theorem category, ranking #196 of 1,306).^[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.^[18]