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International Mathematical ForumLet Ɍ be a ring then the ideal I known as right (left) strongly pure ideal if , for every x ∈ I there exist a prime element p ∈ I such that x = x. p(x = p. x) . And several properties of this class of ideals are discussed .
Khudher J. Khider
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, 2023 In this thesis, we de ne and characterize right pure ideals, left pure ideals, right weakly pure ideals and left weakly pure ideals in T-semirings. We also characterize right weakly regular T-semirings by the properties of right pure ideals. Next, we introduce purely prime, purely semiprime, purely irreducible, strongly irreducible pure and purely ...
Aungkanaporn Chankaew
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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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On Rings Whose Principal Ideals are Pure [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 In this work, we study rings whose every principal ideal is a right pure. We give some properties of right PIP – rings and the connection between such rings and division rings.
Shaimaa Ahmad
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Global dimension of bi-amalgamated algebras along pure ideals
Journal of Taibah University for Science, 2015 Let f : A → B and g : A → C be two ring homomorphisms and let J and J′ be two ideals of B and C, respectively, such that f−1(J) = g−1(J′). The bi-amalgamation of A with (B, C) along (J, J′) with respect to (f, g) is the subring of B × C given byThe aim ...
K. Louartiti, M. Tamekkante
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On purely-prime ideals with applications [PDF]
Communications in Algebra, 2020 19 ...
Tarizadeh, Abolfazl, Aghajani, Mohsen
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An algorithm for producing F-pure ideals [PDF]
Archiv der Mathematik, 2014 11 pages.
Boix, A.F., Katzman, M.
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Test, multiplier and invariant ideals [PDF]
Advances in Mathematics, 2016 This paper gives an explicit formula for the multiplier ideals, and consequently for the log canonical thresholds, of any GL(V ) × GL(W)-invariant ideal in S = Sym(V ⊗ W∗), where V and W are vector spaces over a field of characteristic 0.
Abeasis +25 more
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Pure Fuzzy Ideals in Ternary semigroups
International Journal of Algebra and Statistics, 2012 In this paper we initiate the study of pure fuzzy ideals in ternary semigroups. We introduce the notions of purely fuzzy maximal and purely fuzzy prime ideals of a ternary semigroup T. We also characterize those ternary semigroups for which each fuzzy ideal is weakly pure.
N. Rehman
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Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras [PDF]
Neutrosophic Sets and Systems, 2021 The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strong UP-ideals were introduced by Songsaeng and Iampan [M. Songsaeng, A. Iampan, Neutrosophic set theory applied
Metawee Songsaeng +3 more
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