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Dynamics near an idempotent [PDF]
Topology and its Applications, 2020 15 pages, Comments and suggestions are welcome.
Shaikh, Md. Moid +2 more
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Extended Idempotent Divisor Graph of Zn [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsAssociate graph Л(R) is said to be idempotent divisor graph with vertices set in R*=R-{0} and two non- zero distinct vertices a and b are adjacent if and only if a.b=e, where e an idempotent element non equal 1.
Husam mohammad, Sumaya Mohammed
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Idempotent Noether lattices [PDF]
Proceedings of the American Mathematical Society, 1969 In his paper, Abstract commutative ideal theory [2 ], Dilworth proved that a Noether lattice on which the multiplication is the meet operation is a finite Boolean algebra. This note proves that if the multiplication in a Noether lattice is idempotent (A2= A for all A in the lattice), then the lattice is a finite Boolean algebra.
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Demonstratio Mathematica, 2013 Abstract A tree language of a fixed type τ is any set of terms of type τ. We consider here a binary operation + n on the set Wτ (Xn ) of all n-ary terms of type τ, which results in semigroup (Wτ (Xn ...
Denecke, K., Sarasit, N., Wismath, S. L.
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Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
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Pentagonal quasigroups, their translatability and parastrophes
Open Mathematics, 2021 Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
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Vertex and region colorings of planar idempotent divisor graphs of commutative rings.
Iraqi Journal for Computer Science and Mathematics, 2022 The idempotent divisor graph of a commutative ring R is a graph with vertices set in R* = R-{0}, and any distinct vertices x and y are adjacent if and only if x.y = e, for some non-unit idempotent element e2 = e ? R, and is denoted by ?(R).
Mohammed Authman +2 more
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Fully idempotent near-rings and sheaf representations
International Journal of Mathematics and Mathematical Sciences, 1998 Fully idempotent near-rings are defined and characterized which yields information on the lattice of ideals of fully idempotent rings and near-rings.
Javed Ahsan, Gordon Mason
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2007 IEEE International Fuzzy Systems Conference, 2007 This paper deals with aggregation operators. A new class of aggregation operators, called asymptotically idempotent, is introduced. A generalization of the basic notion of aggregation operator is provided, with an in-depth discussion of the notion of idempotency.
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Constructions of positive commutative semigroups on the plane, II
International Journal of Mathematics and Mathematical Sciences, 1985 A positive semiroup is a topological semigroup containing a subsemigroup N isomorphic to the multiplicative semigroup of nonnegative real numbers, embedded as a closed subset of E2 in such a way that 1 is an identity and 0 is a zero.
Reuben W. Farley
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