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Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this work we give some new properties of GP- ideals as well as the relation between GP- ideals, - π regular and simple ring. Also we consider rings with every principal ideal are GP- ideals and establish relation between such rings with strongly ...
Raida Mahmood, Shahla Khalil
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Convex bodies and asymptotic invariants for powers of monomial ideals [PDF]
Journal of Pure and Applied Algebra, 2021 Continuing a well established tradition of associating convex bodies to monomial ideals, we initiate a program to construct asymptotic Newton polyhedra from decompositions of monomial ideals. This is achieved by forming a graded family of ideals based on
Joao Camarneiro +7 more
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PILP-rings and fuzzy ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this paper, we study rings whose principal right ideals are left pure. Also we shall introduce the concept of a fuzzy bi-ideal in a ring, and give some properties of such fuzzy ideals. We also give a characterization of whose principal right ideal are
Raida Mahmood
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On Rings whose Maximal Essential Ideals are Pure [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 This paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP – rings to be strongly regular rings and
Raida Mahmood, Awreng Mahmood
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Gorenstein binomial edge ideals [PDF]
Mathematische Nachrichten, 2021 We classify connected graphs G whose binomial edge ideal is Gorenstein. In our proofs we use Frobenius type techniques and F‐pure thresholds.
René González‐Martínez
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2019 An ideal K of a ring R is called right (left) generalized pure (GP -ideal) if for every a ∈ K, there exists m ∈ Z+, and b ∈ K such that am = am b ( am = b am) . A ring R is called MLGP-ring if every right maximal ideal is left GP-ideal.
Raida mahmood, Ebtehal Mageed
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Local 𝔪-adic constancy of F-pure thresholds and test ideals [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2017 In this paper, we consider a corollary of the ACC conjecture for F-pure thresholds. Specifically, we show that the F-pure threshold (and more generally, the test ideals) associated to a polynomial with an isolated singularity are locally constant in the ...
Daniel J. Hernández +2 more
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Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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Rings in Which Pure Ideals are Generated by Idempotents.
MATHEMATICA SCANDINAVICA, 1972 S. Jøndrup
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Symbolic powers of ideals defining F-pure and strongly F-regular rings [PDF]
, 2017 Given a radical ideal $I$ in a regular ring $R$, the Containment Problem of symbolic and ordinary powers of $I$ consists of determining when the containment $I^{(a)} \subseteq I^b$ holds.
Eloísa Grifo, C. Huneke
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