Results 11 to 20 of about 266 (139)
Reconstructing Classical Algebras via Ternary Operations
MathematicsAlthough algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations.
Jorge P. Fatelo, Nelson Martins-Ferreira
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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On Semi-Boolean-Like Algebras [PDF]
, 2013 summary:In a previous paper, we introduced the notion of Boolean-like algebra as a generalisation of Boolean algebras to an arbitrary similarity type. In a nutshell, a double-pointed algebra $\mathbf {A}$ with constants $0,1$ is Boolean-like in case for ...
Ledda, Antonio +7 more
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A note on idempotent semirings [PDF]
Categories and General Algebraic Structures with ApplicationsFor a commutative semiring $S$, by an $S$-algebra we mean a commutative semiring $A$ equipped with a homomorphism $S\to A$. We show that the subvariety of $S$-algebras determined by the identities $1+2x=1$ and $x^2=x$ is closed under non-empty colimits ...
Manuela Sobral, George Janelidze
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, 2010 In this paper we study the notion of Smarandache loops. We obtain some interesting results about them. The notion of Smarandache semigroups homomorphism is studied as well in this paper.
Vasantha Kandasamy, W. B.
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Criterion for the cosemanticness of the Abelian groups in the enriched signature
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the present paper we give a criterion of the cosemanticness relative to the Jonsson spectrum of the model in the class of Abelian groups with a distinguished predicate.
A.R. Yeshkeyev +2 more
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0-Hecke Algebra Action on the Stanley-Reisner Ring of the Boolean Algebra [PDF]
Annals of Combinatorics, 2014 We define an action of the $0$-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall-Littlewood symmetric functions and their $(q,t)$-analogues introduced by Bergeron and Zabrocki.
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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Totally disconnected compactifications
International Journal of Mathematics and Mathematical Sciences, 1993 There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.
Parfeny P. Saworotnow
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Monoids with tests and the algebra of possibly non-halting programs
, 2015 We study the algebraic theory of computable functions, which can be viewed as arising from possibly non-halting computer programs or algorithms, acting on some state space, equipped with operations of composition, if-then-else and while-do defined in ...
Marcel Jackson +3 more
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