Results 21 to 30 of about 19,682 (235)
R-ideals of Almost Distributive Lattices [PDF]
Journal of Algebraic SystemsThe concepts have been introduced in Almost DistributiveLattices(ADLs), namely, R-ideals and-ideals. A set ofconditions has been identified that are equivalent to converting anE-ideal into an R-ideal.
Noorbasha Rafi +3 more
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On 2r-ideals in commutative rings with zero-divisors
Open Mathematics, 2023 In this article, we are interested in uniformly prpr-ideals with order ≤2\le 2 (which we call 2r2r-ideals) introduced by Rabia Üregen in [On uniformly pr-ideals in commutative rings, Turkish J. Math. 43 (2019), no. 4, 18781886]. Several characterizations
Alhazmy Khaled +3 more
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Minimal primes over permanental ideals [PDF]
Transactions of the American Mathematical Society, 2008 In this paper we discuss minimal primes over permanental ideals of generic matrices. We give a complete list of the minimal primes over ideals of 3 x 3 permanents of a generic matrix, and show that there are monomials in the ideal of maximal permanents of a d x 2d-1 matrix if the characteristic of the ground field is sufficiently large. We also discuss
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Minimal Systems of Binomial Generators for the Ideals of Certain Monomial Curves
Mathematics, 2021 Let a,b and n>1 be three positive integers such that a and ∑j=0n−1bj are relatively prime. In this paper, we prove that the toric ideal I associated to the submonoid of N generated by {∑j=0n−1bj}∪{∑j=0n−1bj+a∑j=0i−2bj∣i=2,…,n} is determinantal. Moreover,
Manuel B. Branco +2 more
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Minimal prime ideals and compactifications [PDF]
Journal of the Australian Mathematical Society, 1972 Following on from the work of T. P. Speed [1], we will deal with some obvious conjectures, using particularly results 3.3 and 8.5 of [1].
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ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT [PDF]
Journal of Algebraic SystemsThe rings considered in this article are commutative with identity which are not integral domains. Let R be a ring. The sum annihilating ideal graph of R is an undirected graph whose vertex set is the set of all non-zero annihilating ideals of R and ...
Subramanian Visweswaran, Patat Sarman
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Minimal primes of ideals and integral ring extensions [PDF]
Proceedings of the American Mathematical Society, 1973 It is shown that if R R is a commutative ring with identity having the property that ideals in
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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The hull-kernel topology on prime ideals in ordered semigroups
Open MathematicsThe aim of this study is to develop the theory of prime ideals in ordered semigroups. First, to ensure the existence of prime ideals, we study a class of ordered semigroups which will be denoted by SIP{{\mathbb{S}}}_{IP}.
Wu Huanrong, Zhang Huarong
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Soft intersection almost bi-quasi-interior ideals of semigroups [PDF]
Journal of Fuzzy Extension and ApplicationsGeneralizing the ideals of an algebraic structure has shown to be both exciting and valuable to mathematicians. In this context, the concept of Bi-Quasi-Interior Ideal (BQI-ideal) was proposed as a generalization of interior ideal, quasi-ideal, bi-ideal,
Aslıhan Sezgin +2 more
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