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Well quasi-orders, better quasi-orders, and monomial ideals

Bolletino Dell Unione Matematica Italiana
Besides a self-contained introduction into well quasi-orders and better quasi-orders, the focus is on how these concepts lead in a neat and quick way to some well-known facts regarding monomials and monomial ideals of a polynomial ring over a field.
Peter Michael Schuster, Gabriele Buriola   +1 more
exaly   +2 more sources

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A new type of fuzzy quasi-ideals of ordered semigroups

J. Multiple Valued Log. Soft Comput., 2020
Summary: In this paper, we generalize the concept of an \((\epsilon,\epsilon \vee q_k)\)-fuzzy quasi-ideal of an ordered semigroup, using the notion of \((k^\ast, q)\)-quasi-coincidence of an ordered fuzzy point with a fuzzy subset of the support ordered semigroup.
Cristea, Irina Elena, Mahboob, Ahsan, Khan, Noor Mohammad   +2 more
openaire   +3 more sources

The product of quasi-ideal adequate transversals of an abundant semigroup

Semigroup Forum, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kong, Xiangjun, Wang, Pei
openaire   +1 more source

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 \(a_ i\), \(a'_ i\in A\), \(b_ i\in B\).
openaire   +2 more sources

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, Arsham Borumand Saeid, Rajendra Kumar Kona   +2 more
openaire   +2 more sources

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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On Interval Valued fuzzy Bi-Quasi Ideals in Semigroups

Missouri Journal of Mathematical Sciences, 2023
Thiti Gaketem
exaly  

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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