Results 41 to 50 of about 397,514 (346)
Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
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On hereditary irreducibility of some monomial matrices over local rings
Karpatsʹkì Matematičnì Publìkacìï, 2021 We consider monomial matrices over a commutative local principal ideal ring $R$ of type $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0\,\,&tI_{n-k}\end{smallmatrix}\right ...
A.A. Tylyshchak, M. Demko
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Purity of the Ideal of Continuous Functions with Compact Support [PDF]
, 1999 <P>Let C(X) be the ring of all continuous real valued functions defined on a completely regular T1-space. Let CK(X) be the ideal of functions with compact support.
Abu, E. A., Al-Ezeh, H.
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Tensor Products and Quotient Rings which are Finite Commutative Principal Ideal Rings [PDF]
, 1999 We give structure theorems for tensor products R⊕S, and quotient rings Q/I to be finite commutative principal ideal rings with identity, where Q is a polynomial ring and I is an ideal of Q generated by univariate polynomials.
Cazaran, Jilyana
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The regular representations of GLN over finite local principal ideal rings [PDF]
, 2016 Let o be the ring of integers in a non‐Archimedean local field with finite residue field, p its maximal ideal, and r⩾2 an integer. An irreducible representation of the finite group Gr=GLN(o/pr) , for an integer N⩾2 , is called regular if its restriction ...
A. Stasinski, S. Stevens
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First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals
Mathematics, 2020 We describe first-degree prime ideals of biquadratic extensions in terms of the first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors is given by numerical conditions involving their ideal norms.
Giordano Santilli, Daniele Taufer
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On the cofiniteness of generalized local cohomology modules [PDF]
, 2012 Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$, $N$ two finitely generated $R$-modules. The aim of this paper is to investigate the $I$-cofiniteness of generalized local cohomology modules $\displaystyle H^j_I(M,N)=\dlim\Ext^j_R(M ...
Cuong, Nguyen Tu +2 more
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On Matrices with Elements in a Principal Ideal Ring
, 1949 This theorem was proved by Leavitt [ l ] 1 for the special case of the ring § of all functions of a complex variable holomorphic in, and on the boundary of, a closed bounded region R.
W. Leavitt, G. Whaples
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Number theoretic properties of the commutative ring Zn [PDF]
International Journal of Research in Industrial Engineering, 2019 This paper deals with the number theoretic properties of non-unit elements of the ring Zn. Let D be the set of all non-trivial divisors of a positive integer n.
Sh. Sajana, D. Bharathi
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Semigroup Algebras That Are Principal Ideal Rings
Journal of Algebra, 1996 Let \(K\) be a field and let \(S\) be a semigroup. If the semigroup ring \(K[S]\) is a principal left ideal ring, then \(K[S]\) satisfies a polynomial identity, and hence \(S\) is finitely generated, \(K[S]\) embeds into a matrix ring \(M_n(F)\) over a field extension \(F\) of \(K\), and the Gelfand-Kirillov dimension of \(K[S]\) equals the classical ...
Jespers, Eric, Okninski, J.
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