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Non-commutative Modal Rings and Internalized Equality


Fearnley-Sander, DP and Kelarev, AV and Stokes, T, Non-commutative Modal Rings and Internalized Equality, Algebra Colloquium, 9, (1) pp. 65-80. ISSN 1005-3867 (2002) [Refereed Article]


We generalize the notion of modal Boolean rings to rings in general. The connection between Boolean rings with equality and modal Boolean rings provides a cue for the definition. The main motivation lies in the existence of examples such as matrix and polynomial rings over modal Boolean rings and Cartesian products of associative rings with identity, along with the desire that the class of "modal rings" be closed under formation of not only the usual homomorphic image, subalgebra and direct product constructions, but also the ring-theoretic constructions of forming matrices and polynomials. © Inst. Math. CAS 2002.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Fearnley-Sander, DP (Mr Desmond Fearnley-Sander)
UTAS Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:24880
Year Published:2002
Deposited By:Mathematics
Deposited On:2002-08-01
Last Modified:2003-05-01

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