Results 31 to 40 of about 21,877 (248)
Bi-artinian noetherian rings [PDF]
Glasgow Mathematical Journal, 2001 A noetherian ring R satisfies the descending chain condition on two-sided ideals (“is bi-artinian”) if and only if, for each prime P ∈ spec(R), R/P has a unique minimal ideal (necessarily idempotent and left-right essential in R/P). The analogous statement for merely right noetherian rings is false, although our proof does not use the full ...
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Homological invariants associated to semi-dualizing bimodules [PDF]
, 2005 Cohen-Macaulay dimension for modules over a commutative noetherian local ring has been defined by A. A. Gerko. That is a homological invariant sharing many properties with projective dimension and Gorenstein dimension.
Araya, Tokuji +2 more
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Subrings of Noetherian rings [PDF]
Proceedings of the American Mathematical Society, 1974 Let S S be a subring of a ring R R such that R R is a finitely generated right S S -module. Clearly, if S S is a right Noetherian ring then so is R R . Generalizing a result of P. M.
Formanek, Edward +1 more
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On compactly generated torsion pairs and the classification of co-t-structures for commutative noetherian rings [PDF]
, 2014 We classify compactly generated co-t-structures on the derived category of a commutative noetherian ring. In order to accomplish that, we develop a theory for compactly generated Hom-orthogonal pairs (also known as torsion pairs in the literature) in ...
Pospisil, David, Stovicek, Jan
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On Noetherian prime rings [PDF]
Transactions of the American Mathematical Society, 1965 Classical left quotient rings are defined symmetrically. R is right (resp. left) quotient-simple in case R has a classical right (resp. left) quotient ring S which is isomorphic to a complete ring Dn of n X n matrices over a (not necessarily commutative) field D. R is quotient-simple if R is both left and right quotient-simple.
Faith, Carl, Utumi, Yuzo
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Classification of factorial generalized down-up algebras [PDF]
, 2012 We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ...
Launois, Stéphane, Lopes, Samuel A.
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MONOLITHIC MODULES OVER NOETHERIAN RINGS [PDF]
Glasgow Mathematical Journal, 2011 AbstractWe study finiteness conditions on essential extensions of simple modules over the quantum plane, the quantised Weyl algebra and Noetherian down-up algebras. The results achieved improve the ones obtained by Carvalho et al. (Carvalho et al., Injective modules over down-up algebras, Glasgow Math. J. 52A (2010), 53–59) for down-up algebras.
Carvalho, Paula A. A. B., Musson, Ian M.
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Pythagorean fuzzy Artinian and Noetherian ring [PDF]
Computational Algorithms and Numerical DimensionsThe Pythagorean fuzzy set is acknowledged for its proficiency in managing uncertainty across multifarious domains. In this investigation, we advance the Pythagorean fuzzy Artinian ring as an evolutionary progression from the conventional fuzzy ring ...
Meryem Fakhraoui +3 more
doaj +1 more source
, 2008 Let X be a projective variety, $\sigma$ an automorphism of X, L a $\sigma$-ample invertible sheaf on X, and Z a closed subscheme of X. Inside the twisted homogeneous coordinate ring $B = B(X, L, \sigma)$, let I be the right ideal of sections vanishing at
Sierra, Susan J.
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Co-Cohen-Macaulay Modules and Local Cohomology
Journal of Mathematics, 2013 Let be a commutative Noetherian local ring and let be a finitely generated -module of dimension . Then the following statements hold: (a) if width for all with , then is co-Cohen-Macaulay of Noetherian dimension ; (b) if is an unmixed -module and ...
Hero Saremi, Amir Mafi
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