Results 11 to 20 of about 307,497 (279)

Prime filters of hyperlattices [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices.
Ameri Reza, Amiri-Bideshki M., Saeid Arsham Borumand, Hoskova-Mayerova Sarka   +3 more
doaj   +2 more sources

Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid

International Journal of Mathematics and Mathematical Sciences
In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not ...
Suryavardhani Ajjarapu, Ravikumar Bandaru, Ramakoteswara Rao Kotha, Rahul Shukla   +3 more
doaj   +3 more sources

The prime filter theorem of lattice implication algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
Using a special set x−1F, we give an equivalent condition for a filter to be prime, and applying this result, we provide the prime filter theorem in lattice implication ...
Young Bae Jun
doaj   +3 more sources

Generalized prime $D$-filters of distributive lattices [PDF]

Archivum Mathematicum, 2021
Summary: The concept of generalized prime \(D\)-filters is introduced in distributive lattices. Generalized prime \(D\)-filters are characterized in terms of principal filters and ideals. The notion of generalized minimal prime \(D\)-filters is introduced in distributive lattices and properties of minimal prime \(D\)-filters are then studied with ...
Phaneendra Kumar, A. P., Sambasiva Rao, M., Sobhan Babu, K.   +2 more
openaire   +2 more sources

\(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters

Bulletin of the Section of Logic
In this manuscript, we have presented the concept of \(\mathcal{L}\)-weakly 1-absorbing prime ideals and \(\mathcal{L}\)-weakly 1-absorbing prime filters within an ADL.
Natnael Teshale Amare
doaj   +4 more sources

The Subaru Deep Field Project: Lyman$\alpha$ Emitters at Redshift of 6.6 [PDF]

, 2004
We present new results of a deep optical imaging survey using a narrowband filter ($NB921$) centered at $\lambda =$ 9196 \AA ~ together with $B$, $V$, $R$, $i^\prime$, and $z^\prime$ broadband filters in the sky area of the Subaru Deep Field which has ...
Fumihide Iwamuro, Hiroshi Karoji, Hiroyasu Ando, Hisanori Furusawa, Keiichi Kodaira, Kentaro Aoki, Mamoru Doi, Masanori Iye, Masayuki Akiyama, Msaru Ajiki, Naoto Kobayashi, Nobunari Kashikawa, Norio Kaifu, Satoshi Miyazaki, Shinobu S. Fujita, Tadayuki Kodama, Takashi Murayama, Tohru Nagao, Tomoki Hayashino, Yasuhiro Shioya, Yoshiaki Taniguchi, Yoshihiko Mizumoto, Yuichi Matsuda, Yutaka Komiyama   +23 more
core   +1 more source

Distributive and Dual Distributive Elements in Hyperlattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza, Amiri-Bideshki M., Hoskova-Mayerova Sarka, Saeid A. B.   +3 more
doaj   +1 more source

𝒩 -Prime Spectrum of Stone Almost Distributive Lattices

Discussiones Mathematicae - General Algebra and Applications, 2021
Introduced the notions of annulets and 𝒩 -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the 𝒩 -filters.
Rafi N., Bandaru Ravi Kumar, Srujana M.
doaj   +1 more source

‎Pure Ideals in Residuated Lattices [PDF]

Transactions on Fuzzy Sets and Systems, 2022
Ideals in MV algebras are‎, ‎by definition‎, ‎kernels of homomorphism‎. ‎An ideal is the dual of a filter in some special logical algebras but not in non-regular residuated lattices‎.
Istrata Mihaela
doaj   +1 more source

Prime $z$-filters on completely regular spaces [PDF]

Transactions of the American Mathematical Society, 1965
A prime z-filter on a space X is a proper prime dual ideal in the lattice Z(X) of zero-sets on X; with no loss of generality, one may take the space to be completely regular [3, 3.9]. Each prime z-filter is contained in a unique maximal z-filter (z-ultrafilter), and thus is associated with a unique point of the StoneCech compactification ,BX.
openaire   +2 more sources