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Quasi-ideals which are subnear-fields

九州大学教養部数学雑誌, 1985
Let N be a near-ring, \((n+n')n''=nn''+n'n''\) being the one distributive law holding for N. For any two non-empty subsets A, B of N, let AB be the set of all finite sums \(\sum a_ ib_ i\), where \(a_ i\in A\), \(b_ i\in B\), and A*B the set of all finite sums \(\sum (a_ i(a'_ i+b_ i)-a_ ia'_ i)\), where \(a_ i\), \(a'_ i\in A\), \(b_ i\in B\).
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Fuzzy Soft Tri-quasi Ideals of Regular Semirings

New Mathematics and Natural Computation
In this paper, we study some of the properties fuzzy soft tri-quasi ideals of a semiring. Tri-quasi ideals generalize, bi-ideals, quasi-ideals and interior ideals. We characterize regular semiring using fuzzy soft tri-quasi ideals and prove that, if [Formula: see text] is a fuzzy soft tri-quasi ideal over a regular semiring [Formula: see text] then ...
Marapureddy Murali Krishna Rao   +2 more
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Ideal-adic completion of quasi-excellent rings (after Gabber)

Kyoto Journal of Mathematics, 2021
Kazuhiko Kurano
exaly  

Quasi-Ideals and Bi-Ideals in Categories

1997
The commutator ideal is used to define quasi-ideals and bi-ideals in categories. These ideals are investigated and examples are given in the category of nearrings.
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Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system

Nonlinear Analysis: Real World Applications, 2021
Francesco Fanelli
exaly  

A generalization of quasi-ideals

The purpose of this bachelor’s thesis is to present a generalization of quasi ideals, which have been introduced by Otto Steinfeld. In the year 1978 Steinfeld published the monograph “Quasi-ideals in Rings and Semigroups”, in which he studies quasi-ideals for both semigroups and rings, which can be considered to be intersections of a left ideal and a ...
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Principal quasi-ideals of cohomological dimension 1.

2019
The principal quasi-ideal generated by an element \(w\) of the semigroup \(S\) is the set \(\langle w\rangle_q=S^1w\cap wS^1\). The cohomological dimension of the semigroup \(S\) is the smallest integer \(n\) such that for any \(S\)-module \(A\) and \(k>n\) the \(k\)-th cohomology group \(H^k(S,A)\) is trivial.
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Quasi-Ideals of Lie Algebras I

Proceedings of the London Mathematical Society, 1976
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Quasi-ideals in rings

Acta Mathematica Academiae Scientiarum Hungaricae, 1981
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Beyond Beer’s Law: Quasi-Ideal Binary Liquid Mixtures

Applied Spectroscopy, 2022
Thomas Mayerhofer   +2 more
exaly  

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