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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

REGULAR FILTERS OF DISTRIBUTIVE LATTICES [PDF]

Journal of Algebraic Systems, 2023
The concepts of regular filters and π--filters are introduced in distributive lattices. A set of equivalent conditions is given for a D-filter to become a regular filter.
Sambasiva Rao Mukkamala, Phaneendra Kumar Ananthapatnayakuni   +1 more
doaj   +1 more source

The application of the orthogonal decomposition method for the algebraic solver separator

Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2022
The method which is valid for improving the transmission of information and a clean separation of signal and noise is suggested in [1]. The basis of the proposed new way of developing the theory and methods of communication is the rejection of the ...
Ольга Мелкозьорова, Сергій Рассомахін, Володимир Шлокін   +2 more
doaj   +1 more source

Some results on semi maximal filters in BL−algebras [PDF]

Journal of Mahani Mathematical Research
In this article, we present an equivalent definition for the concept of the semi maximal filter in $BL-$algebras and some of their properties are studied.
Mahta Bedrood, Asiyeh Hassani Movahed, Arsham Borumand Saeid   +2 more
doaj   +1 more source

w−FILTERS OF ALMOST DISTRIBUTIVE LATTICES [PDF]

Journal of Algebraic Systems
The notion of w−filters is introduced in an Almost Distributive Lattice(ADL) and properties are investigated. A necessary and sufficient condition is derived for a maximal filter of an ADL to become a w−filter which leads to a characterization of a quasi-
Noorbasha Rafi, Vijay Pavuluri, Balaiah Mothukuri   +2 more
doaj   +1 more source

Generalized co-annihilator of BL-algebras

Open Mathematics, 2015
In BL-algebras we introduce the concept of generalized co-annihilators as a generalization of coannihilator and the set of the form x-1F where F is a filter, and study basic properties of generalized co-annihilators.
Meng Biao Long, Xin Xiao Long
doaj   +1 more source

HEMI-COMPLEMENTED LATTICES [PDF]

Journal of Algebraic Systems
The notion of hemicomplemented lattices is introduced and some of the properties of these algebras are studied. Some characterization theorems of hemicomplemented lattices are derived with the help of minimal prime D-filters, ideals, and congruences. The
Phaneendra Kumar Ananthapatnayakuni, Sambasiva Rao Mukkamala   +1 more
doaj   +1 more source

Inverse topology in BL-algebras

پژوهش‌های ریاضی, 2020
In this paper, we introduce Inverse topology in a BL-algebra A and prove the set of all minimal prime filters of A, namely Min(A) with the Inverse topology is a compact space, Hausdorff, T0  and T1-Space.
Fereshteh Forouzesh, Farhad Sajadian, Mahta bedrood   +2 more
doaj  

Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions

FEBS Letters, EarlyView.
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang, Hyo Been Jin, Chang Min Kim, So Yeon Lee, Hyun Ho Park   +4 more
wiley   +1 more source

An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes

FEBS Letters, EarlyView.
GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg, Martine Hjeltnes, Josephine Krieger, Joshua E. Elias, Maria Stensland, Kristian Holm, Xiaojun Jiang, Chuki Khangsar, Tuula A. Nyman, Arthur Kaser, Johannes R. Hov, Tom H. Karlsen, Nicole C. Kaneider, Frode L. Jahnsen, Georg Schneditz   +14 more
wiley   +1 more source