Non finiteness in finite dimensional Krull domains
نویسندگان
چکیده
منابع مشابه
Power Series over Generalized Krull Domains
We resolve an open problem in commutative algebra and Field Arithmetic, posed by Jarden – Let R be a generalized Krull domain. Is the ring R[[X]] of formal power series over R a generalized Krull domain? We show that the answer is negative.
متن کاملfinite volume method for one dimensional biot poroelasticity system in multilayered domains
r. ewing, o. liev, r. lazarov and a. naumovich in [1] proposed a finite volume discretization for one dimensional biot poroelasticity system in multilayer domains. their discretization and exact solution are invalid. we derive valid discretization and exact solution. finally, our numerical solution is compared with known exact solution in discrete l2 norm.
متن کاملA Krull-Schmidt Theorem for One-dimensional Rings of Finite Cohen-Macaulay Type
This paper determines when the Krull-Schmidt property holds for all finitely generated modules and for maximal Cohen-Macaulay modules over one-dimensional local rings with finite Cohen-Macaulay type. We classify all maximal CohenMacaulay modules over these rings, beginning with the complete rings where the Krull-Schmidt property is known to hold. We are then able to determine when the Krull-Sch...
متن کاملOn (non-)finiteness in Inuktitut
In this paper we examine the appropriateness of the term ‘nonfinite’ for a construction in Inuktitut containing the mood morpheme -llu(which has been variously labeled participial, appositional, etc.). We find that the label non-finite is conventionally used when a minimal (but not fixed) set of properties is found. We conclude that -lludoes not meet this minimal requirement and is therefore no...
متن کاملFiniteness Properties of Locally Finite Abelian Varieties
We show that any locally finite abelian variety is generated by a finite algebra. We solve a problem posed by D. Hobby and R. McKenzie by exhibiting a nonfinitely based finite abelian algebra.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1970
ISSN: 0021-8693
DOI: 10.1016/0021-8693(70)90109-2