Elementary Divisor Rings and Finitely Presented Modules

DOI10.2307/1997051zbMath0283.13002OpenAlexW4250823965MaRDI QIDQ4769125

Max D. Larsen, Thomas S. Shores, William J. Lewis

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1997051

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Related Items

Relative injectivity and pure-injective modules over Prüfer rings, Unnamed Item, Noncommutative elementary divisor rings, On the structure of pure-projective modules and some applications, On serial rings, Commutative domains of elementary divisors and some properties of their elements, Unnamed Item, About weakly Bézout rings, Divisibility theory in commutative rings: Bézout monoids, Every zero adequate ring is an exchange ring, Henriksen's contributions to residue class rings of analytic and entire functions, Elementary divisor domains and Bézout domains, Generalized adequate rings, J-Noetherian Bezout domain which is not of stable range 1, Serial compact spaces and the maximal spectrum of a Bézout domain, Bézout rings with almost stable range 1, Commutative Bezout domains in which any nonzero prime ideal is contained in a finite set of maximal ideals, Arithmetical rings, Bezout rings without non-central idempotents, Comaximal factorization in a commutative Bezout ring, Rings of almost unit stable rank 1, A sharp Bézout domain is an elementary divisor ring, Bezout domains with stable range 1, Decompositions of modules and matrices, Invariant factor theorem for Prüfer domains of finite character, Similarity to a triangular form, Unnamed Item, Lattice-Ordered Groups and a Conjecture for Adequate Domains, Smith normal form in combinatorics, C(X): Something old and something new, Modules over Semihereditary Bezout Rings, Diagonal reduction of matrices over commutative semihereditary Bezout rings, Equivalent generating vectors of finitely generated modules over commutative rings, Rings of dyadic range 1, Note on the elementary dividers of the Iwasawa regulator, Divisibility theory in commutative rings: Bezout monoids, AMALGAMATION OF RINGS DEFINED BY BÉZOUT-LIKE CONDITIONS, Two classes of rings generated by their units, Rings whose finitely generated modules are direct sums of cyclics, On 1-semiregular and 2-semiregular rings, Counting the decimation classes of binary vectors with relatively prime length and density

Cites Work

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