scholarly journals The Jacobson Radical of a Propositional Theory

2021 ◽  
pp. 1-20
Author(s):  
Giulio Fellin ◽  
Peter Schuster ◽  
Daniel Wessel
Keyword(s):  
Jacobson Radical ◽  
Propositional Theory

On Learning What Causes What: Propositional Theory and Evidence

1975 ◽  
Author(s):  
Don E. Dulany ◽  
Rick Sadilek
Keyword(s):  
Propositional Theory

The property theory and de se attitudes

2017 ◽  
Author(s):  
Wayne A. Davis
Keyword(s):  
Propositional Attitude ◽  
Property Theory ◽  
De Se ◽  
Propositional Theory ◽  
Independent Property

The property theory of de se belief denies that believing is a propositional attitude, maintaining instead that for Lingens to believe that he himself is lost is for him to self-attribute the property of being lost. For Lingens to believe that Lingens is lost is for him to self-attribute the independent property of being such that Lingens is lost. The chapter argues that this theory postulates differences where we expect uniformity, introduces unnecessary theoretical complexity, is false to a variety of linguistic and phenomenological facts, and fails to explain many psychological and linguistic facts. If “self-attribute a property” means “believing oneself to have the property,” then the theory provides no explanation of de se belief. The author sketches a propositional theory on which the objects of the attitudes are complexes of concepts (thoughts), de se attitudes involving one type of indexical concept.

scholarly journals Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings

2008 ◽  
Vol 2008 ◽  
pp. 1-6
Author(s):  
Ravi Srinivasa Rao ◽  
K. Siva Prasad ◽  
T. Srinivas
Keyword(s):  
Jacobson Radical ◽  
Paper Properties ◽  
Hereditary Radical ◽  
Constant Part ◽  
The Right

By a near-ring we mean a right near-ring.J0r, the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radicalJ0rare studied. It is shown thatJ0ris a Kurosh-Amitsur radical (KA-radical) in the variety of all near-ringsR, in which the constant partRcofRis an ideal ofR. So unlike the left Jacobson radicals of types 0 and 1 of near-rings,J0ris a KA-radical in the class of all zero-symmetric near-rings.J0ris nots-hereditary and hence not an ideal-hereditary radical in the class of all zero-symmetric near-rings.

Simultaneous Triangularization of Algebras of Polynomially Compact Operators

1991 ◽  
Vol 34 (2) ◽  
pp. 260-264 ◽  
Author(s):  
M. Radjabalipour
Keyword(s):  
Hilbert Space ◽  
Jacobson Radical ◽  
Compact Operators ◽  
General Algebra ◽  
Closed Algebra ◽  
Quasinilpotent Operators ◽  
Simultaneous Triangularization

AbstractIf A is a norm closed algebra of compact operators on a Hilbert space and if its Jacobson radical J(A) consists of all quasinilpotent operators in A then A/ J(A) is commutative. The result is not valid for a general algebra of polynomially compact operators.

Fixed Rings of Automorphisms and the Jacobson Radical

1978 ◽  
Vol s2-17 (1) ◽  
pp. 42-46 ◽  
Author(s):  
Wallace S. Martindale
Keyword(s):  
Jacobson Radical

scholarly journals A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS

2014 ◽  
Vol 13 (04) ◽  
pp. 1350121 ◽  
Author(s):  
AGATA SMOKTUNOWICZ
Keyword(s):  
Jacobson Radical ◽  
Analogous Result ◽  
Graded Rings ◽  
Radical Ring ◽  
Graded Ring ◽  
Nil Ring ◽  
Nil Radical

It was shown by Bergman that the Jacobson radical of a Z-graded ring is homogeneous. This paper shows that the analogous result holds for nil radicals, namely, that the nil radical of a Z-graded ring is homogeneous. It is obvious that a subring of a nil ring is nil, but generally a subring of a Jacobson radical ring need not be a Jacobson radical ring. In this paper, it is shown that every subring which is generated by homogeneous elements in a graded Jacobson radical ring is always a Jacobson radical ring. It is also observed that a ring whose all subrings are Jacobson radical rings is nil. Some new results on graded-nil rings are also obtained.

scholarly journals The Jacobson Radical for Analytic Crossed Products

2001 ◽  
Vol 187 (1) ◽  
pp. 129-145 ◽  
Author(s):  
Allan P Donsig ◽  
Aristides Katavolos ◽  
Antonios Manoussos
Keyword(s):  
Jacobson Radical ◽  
Crossed Products

On Radicals of Skew Inverse Laurent Series Rings

2016 ◽  
Vol 23 (02) ◽  
pp. 335-346
Author(s):  
A. Moussavi
Keyword(s):  
Polynomial Ring ◽  
Jacobson Radical ◽  
Laurent Series ◽  
Ring Extensions ◽  
Series Type ◽  
Armendariz Ring

Let R be a ring and α an automorphism of R. Amitsur proved that the Jacobson radical J(R[x]) of the polynomial ring R[x] is the polynomial ring over the nil ideal J(R[x]) ∩ R. Following Amitsur, it is shown that when R is an Armendariz ring of skew inverse Laurent series type and S is any one of the ring extensions R[x;α], R[x,x-1;α], R[[x-1;α]] and R((x-1;α)), then ℜ𝔞𝔡(S) = ℜ𝔞𝔡(R)S = Nil (S), ℜ𝔞𝔡(S) ∩ R = Nil (R), where ℜ𝔞𝔡 is a radical in a class of radicals which includes the Wedderburn, lower nil, Levitzky and upper nil radicals.

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