Results 1 to 10 of about 18,984 (255)
Local inverses of Borel homomorphisms and analytic P-ideals [PDF]
Abstract and Applied Analysis, 2005 We present a theorem on the existence of local continuous homomorphic inverses of surjective Borel homomorphisms with countable kernels from Borel groups onto Polish groups.
Sławomir Solecki
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More on cardinal invariants of analytic P-ideals [PDF]
, 2009 Given an ideal $I$ on $ $ let $a(I) $ ($\bar{a}(I)$) be minimum of the cardinalities of infinite (uncountable) maximal $I$-almost disjoint subsets of $[ ]^ $, and denote $b_I$ and$d_I$ the unbounding and dominating numbers of $( ^ ,\le_I)$. We show that (1) $a(I)>omega$ if $I$ is a summable ideal; (2) $a(Z)= $ and $\bar{a}(Z)\le a$ if $Z$ is a
Farkas, Barnabás, Soukup, Lajos
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A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras
Journal of Function Spaces, 2023 In this paper, we propose the concept of ∈,∈∨j∗,qj-fuzzy p-ideals in “BCI-algebras.” We show that “∈,∈∨q-fuzzy p-ideals” and “∈∨j∗,qj,∈∨j∗,qj-fuzzy p-ideals” are “∈,∈∨j∗,qj-fuzzy p-ideals.” However, the converse is not true, then presented examples.
G. Muhiuddin +4 more
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P-ideals and PMP-ideals in Commutative rings
Journal of Mathematical Extension, 2016 Summary: Recently, P-ideals have been studied in \(C(X)\) by some authors. In this article we investigate P-ideals and a new concept PMP-ideal in commutative rings. We show that \(I\) is a P-ideal (resp., PMP-ideal) in \(R\) if and only if every prime ideal of \(R\) which does not contain \(I\) is a maximal (resp., minimal prime) ideal of \(R\).
Jamal Hashemi zadeh Dezfuly +2 more
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Analytic P-ideals and Banach spaces [PDF]
Journal of Functional Analysis, 2020 We study the interplay between Banach space theory and theory of analytic P-ideals. Applying the observation that, up to isomorphism, all Banach spaces with unconditional bases can be constructed in a way very similar to the construction of analytic P-ideals from submeasures, we point out numerous symmetries between the two theories.
Borodulin-Nadzieja, Piotr +1 more
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P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras
Advances in Fuzzy Systems, 2021 In this paper, we introduce the concept of p-fuzzy ideals and p-fuzzy filters in a p-algebra. We provide a set of equivalent conditions for a fuzzy ideal to be a p-fuzzy ideal and a p-algebra to be a Boolean algebra.
Wondwosen Zemene Norahun
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On weakly S-prime ideals of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper, we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime ideals. Let P be an ideal of R disjoint with S. We say that P is a
Almahdi Fuad Ali Ahmed +2 more
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On differentially prime ideals of Noetherian semirings
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
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On Ideals in Partially Ordered Ternary Semigroups
Ratio Mathematica, 2023 The concept of ideals has been extensively studied through various algebraic structures such as near-rings, involution rings, regular rings, gamma-rings, semigroups, ordered semigroups, ternary semigroups and ordered ternary semigroups.
Dattatray Nabajirao Shinde +1 more
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Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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