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of 7
pro vyhledávání: '"Micah J. Leamer"'
Publikováno v:
Designs, Codes and Cryptography. 86:1849-1864
In this manuscript we show that the second Feng–Rao number of any telescopic numerical semigroup agrees with the multiplicity of the semigroup. To achieve this result we first study the behavior of Apery sets under gluings of numerical semigroups.
Autor:
Micah J. Leamer
Publikováno v:
Journal of Algebra. 456:123-150
Let R be a commutative Noetherian domain, and let M and N be finitely generated R-modules. We give new criteria for determining when the tensor product of two modules has torsion. We also give constructive formulas for the torsion submodule of M⊗RN
Publikováno v:
Journal of Algebra. 391:114-124
We give a positive answer to the Huneke–Wiegand Conjecture for monomial ideals over free numerical semigroup rings, and for two-generated monomial ideals over complete intersection numerical semigroup rings.
Autor:
Micah J. Leamer, Kristen A. Beck
Publikováno v:
Proceedings of the American Mathematical Society. 141:2245-2252
Let R be a commutative noetherian local ring, and M a finitely generated R-module of infinite projective dimension. It is well-known that the depths of the syzygy modules of M eventually stabilize to the depth of R. In this paper, we investigate the
Autor:
Micah J. Leamer
Publikováno v:
Journal of Symbolic Computation. 41:98-111
Let K be a field and Γ a finite directed multi-graph. The focus of this paper is to offer a complete description of all path algebras K Γ and admissible orders with the property that all of their finitely generated ideals have finite Grobner bases
Let R be a commutative ring, and let L and L' be R-modules. We investigate finiteness conditions (e.g., noetherian, artinian, mini-max, Matlis reflexive) of the modules Ext^i_R(L,L') and Tor_i^R(L,L') when L and L' satisfy combinations of these finit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a020325b5d4f147fbc7435aa62b26ae
Publikováno v:
Journal of Pure and Applied Algebra. (10):2486-2503
Let R be a commutative local noetherian ring, and let L and L' be R-modules. We investigate the properties of the functors Tor_i^R(L,-) and Ext^i_R(L,-). For instance, we show the following: (a) if L is artinian and L' is noetherian, then Hom_R(L,L')