Titlebook: Rings, Polynomials, and Modules; Marco Fontana,Sophie Frisch,Paolo Zanardo Book 2017 Springer International Publishing AG 2017 Gaussian pr

流眼泪

ESPY

Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat,acterization of local commutative rings for which each ideal is quasi-flat (resp. quasi-projective) is given. It is also proven that each commutative ring . whose finitely generated ideals are quasi-flat is of .-dimension ≤ 3, and this dimension ≤ 2 if . is local. This extends a former result about

中子

Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions,ng extensions of . has cardinality .. The preceding statement fails for . = 1 and, if . must be nonzero, it also fails for . = 0. If ., then there exists a ring whose set of maximal (unital) subrings has cardinality .. If an infinite cardinal number . is of the form . = 2. for some (infinite) cardin

BRAVE

Applications of Multisymmetric Syzygies in Invariant Theory, . is given. This is applied to get information on a minimal homogeneous generating system of . (in the graded case). The known result that in characteristic zero the algebra . is isomorphic to the coordinate ring of the scheme of .-dimensional semisimple representations of . is also recovered. The

Spirometry

步履蹒跚

Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids,a transfer Krull monoid coincides with that of the associated commutative Krull monoid. We unveil a couple of new features of the system of sets of lengths of transfer Krull monoids over finite abelian groups ., and we provide a complete description of the system for all groups . having Davenport co

慢慢啃

,Corner’s Realization Theorems from the Viewpoint of Algebraic Entropy,ed papers, are applied to the rings of integral polynomials . and the power series ring ., and are compared with another realization theorem proved in Corner’s paper on Hopficity in torsion-free groups, and with some variation of his results. The .-module structure of the groups obtained from these

一美元

GORGE

鉴赏家