Results 71 to 80 of about 266 (139)
Connections between commutative rings and some algebras of logic
, 2022 In this paper using the connections between some subvarieties of residuated lattices, we investigated some properties of the lattice of ideals in commutative and unitary rings.
Piciu, Dana, Flaut, Cristina
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Complemented subsets and Boolean-valued, partial functions
We study the two algebras of complemented subsets that were introduced in the constructive development of the Daniell approach to measure and integration within Bishop-style constructive mathematics.
Petrakis, Iosif +1 more
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Two constructions of De Morgan algebras and De Morgan quasirings
, 2009 De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how ...
Eigenthaler, Günther, Chajda, Ivan
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Equational definability of addition in certain noncommutative rings
, 1985 Boolean rings and Boolean algebras, though historically and conceptually different, were shown by Stone to be equationally interdefinable. Indeed, in a Boolean ring, addition can be defined in terms of the ring multiplication and the successor operation (
Putcha, Mohan S, Yaqub, Adil
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Unification in primal algebras, their powers and their varieties
, 1990 This paper examines the unification problem in the class of primal algebras and the varieties they generate. An algebra is called primal if every function on its carrier can be expressed just in terms of the basic ...
Tobias Nipkow
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, 2010 Algebraic structures such as Rings, Fields, Boolean Algebras (Set Theory) and \(\sigma\)-Fields are well known and much has been written about them. In this paper we explore some properties of rings related to the distribution law. Specifically, we shall
Obojska, Lidia, O’Hara, Paul
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Noncommutative Pierce Duality between Steinberg Rings and Ample Ringoid Bundles
, 2023 Classic work of Pierce and Dauns-Hofmann shows that biregular rings are dual to simple ring bundles over Stone spaces. We extend this duality to Steinberg rings, a purely algebraic generalisation of Steinberg algebras, and ringoid bundles over ample ...
Bice, Tristan
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Algebraic characterizations of special Boolean rings [PDF]
Fundamenta Mathematicae, 1937 openaire +2 more sources
Zero-Divisor Graphs, Commutative Rings of Quotients, and Boolean Algebras
, 2008 The zero-divisor graph of a commutative ring is the graph whose vertices are the nonzero zero-divisors of the ring such that distinct vertices are adjacent if and only if their product is zero. We use this construction to study the interplay between ring-
LaGrange, John D.
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Central internal algebras and varieties
, 1999 Central internal algebras are generalizations of Boolean rings and semilattices.
Kelarev, A.V., Stokes, T.
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