Afrika MatematikaPub Date : 2025-02-11DOI: 10.1007/s13370-025-01252-6
Javad Moghaderi
{"title":"Some results on primary filters in BL-algebras","authors":"Javad Moghaderi","doi":"10.1007/s13370-025-01252-6","DOIUrl":"10.1007/s13370-025-01252-6","url":null,"abstract":"<div><p>In this article, with the aim of further investigating <i>BL</i>-algebras, the concepts of a prime less filter is introduced and discussed. Also, for the faster study of prime less filters in <i>BL</i>-algebras, some equivalent conditions are obtained. We prove some relations between this filter and other types of filters in <i>BL</i>-algebras. Also, some results that proven for prime filters in <i>BL</i>-algebras, to the case of prime less filters are proven. In this way, we find new properties for the primary filters in <i>BL</i>-algebras. Also, the notions of prime less <i>BL</i>-algebras (<i>Pls</i>–<i>BL</i>-algebras) are introduced and investigated.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika MatematikaPub Date : 2025-02-09DOI: 10.1007/s13370-025-01277-x
Sanjay Oli, B. Santhosh
{"title":"Two-fluid cosmological models in five-dimensional Kaluza–Klein spacetime","authors":"Sanjay Oli, B. Santhosh","doi":"10.1007/s13370-025-01277-x","DOIUrl":"10.1007/s13370-025-01277-x","url":null,"abstract":"<div><p>In this paper, two-fluid cosmological models have been investigated in five-dimensional Kaluza–Klein spacetime, where one fluid represents the barotropic fluid of the universe and another fluid is chosen to model dark energy. The Einstein’s field equations have been solved for interacting as well as the non-interacting two-fluid scenario and physical behaviour of parameters are discussed in view of results obtained from current observations.The cosmological models presented in the article are best described by quintessence dark energy cosmological models of the universe. The total density parameter (<span>(varOmega )</span>) value remains the same either two-fluid are interacting or non-interacting. Our models are consistent with the current lambda-CDM model of the universe and show that <span>(qto -1)</span> and <span>(jleft(tright)to 1)</span> as <span>(tto infty )</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143370034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika MatematikaPub Date : 2025-02-06DOI: 10.1007/s13370-025-01261-5
Patrice Ntumba
{"title":"A note on isomorphisms of sheaves of endomorphisms of locally finitely presented (mathscr {O}_X)-modules with involution","authors":"Patrice Ntumba","doi":"10.1007/s13370-025-01261-5","DOIUrl":"10.1007/s13370-025-01261-5","url":null,"abstract":"<div><p>We interpret in the setting of modules over schemes classical results pertaining to involutions of the first kind on algebras <span>({{,textrm{End},}}_R(V))</span>, where <i>V</i> is a faithfully projective <i>R</i>-module.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01261-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143362065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika MatematikaPub Date : 2025-02-04DOI: 10.1007/s13370-025-01259-z
F. Al-Kharousi, G. U. Garba, M. J. Ibrahim, A. T. Imam, A. Umar
{"title":"On the semigroup of finite order-preserving partial injective contraction mappings","authors":"F. Al-Kharousi, G. U. Garba, M. J. Ibrahim, A. T. Imam, A. Umar","doi":"10.1007/s13370-025-01259-z","DOIUrl":"10.1007/s13370-025-01259-z","url":null,"abstract":"<div><p>We initiate the algebraic study of the semigroup of one-to-one order-preserving partial contraction mappings of a totally ordered set <span>({1,2,ldots ,n})</span>, which we denote by <span>(mathcal {OCI}_{n})</span>. In particular, we characterise the Green’s relations and their starred analogues in <span>(mathcal {OCI}_{n})</span>. We also compute the rank of <span>(mathcal {OCI}_{n})</span> as <span>(2n-1)</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika MatematikaPub Date : 2025-01-29DOI: 10.1007/s13370-024-01221-5
Basim Samir, Huda Merdach
{"title":"When implication algebras can be residuated lattices?","authors":"Basim Samir, Huda Merdach","doi":"10.1007/s13370-024-01221-5","DOIUrl":"10.1007/s13370-024-01221-5","url":null,"abstract":"<div><p>M. Ward and R.P. Dilworth were the first to describe the commutative residuated lattices as a generalization of ideal ring lattices. Complete studies on residuated lattices were developed by H. Ono, T. Kowalski, P. Jipsen and C. Tsinakis. Furthermore, Y. Xu is credited with the invention of lattice implication algebra. The aim of the paper was to link up the structures used in foundations of quantum logic and arising in many-valued reasoning. It is shown that implication algebra with unity can be described as residuated lattice.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01221-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika MatematikaPub Date : 2025-01-29DOI: 10.1007/s13370-025-01247-3
Jaime Gutierrez, Jorge Jiménez Urroz
{"title":"Permutation and local permutation polynomials of maximum degree","authors":"Jaime Gutierrez, Jorge Jiménez Urroz","doi":"10.1007/s13370-025-01247-3","DOIUrl":"10.1007/s13370-025-01247-3","url":null,"abstract":"<div><p>Let <span>(mathbb {F}_q)</span> be the finite field with <i>q</i> elements and <span>(mathbb {F}_q[x_1,ldots , x_n])</span> the ring of polynomials in <i>n</i> variables over <span>(mathbb {F}_q)</span>. In this paper we consider permutation polynomials and local permutation polynomials over <span>(mathbb {F}_q[x_1,ldots , x_n])</span>, which define interesting generalizations of permutations over finite fields. We are able to construct permutation polynomials in <span>(mathbb {F}_q[x_1,ldots , x_n])</span> of maximum degree <span>(n(q-1)-1)</span> and local permutation polynomials in <span>(mathbb {F}_q[x_1,ldots , x_n])</span> of maximum degree <span>(n(q-2))</span> when <span>(q>3)</span>, extending previous results.\u0000</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01247-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the expansion map of lattices","authors":"Pallavi Panjarike, Syam Prasad Kuncham, Aishwarya Neralakatte Nayak, Madeleine Al-Tahan, Tapatee Sahoo, Harikrishnan Panackal","doi":"10.1007/s13370-025-01267-z","DOIUrl":"10.1007/s13370-025-01267-z","url":null,"abstract":"<div><p>It is well known that the closure operator on a lattice is an extensive, isotone, and idempotent map. In this paper, we extend this concept by introducing the notion of an expansion map on lattices, which serves as a generalization of closure operators. The focus is to explore the properties of the collection of all expansion maps on a lattice, which forms a lattice. We delve into the discussion of their covering relation and present a comprehensive characterization of the atoms and dual atoms within the lattice obtained from these expansion maps.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01267-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika MatematikaPub Date : 2025-01-29DOI: 10.1007/s13370-024-01230-4
Shavani Naicker, Byron P. Brassel, Sunil D. Maharaj
{"title":"Higher dimensional heat conducting models with vanishing shear","authors":"Shavani Naicker, Byron P. Brassel, Sunil D. Maharaj","doi":"10.1007/s13370-024-01230-4","DOIUrl":"10.1007/s13370-024-01230-4","url":null,"abstract":"<div><p>A shear-free relativistic fluid with nonzero heat flux is studied by examining the higher dimensional spherically symmetric shear-free interior spacetime. The model is a heat conducting fluid undergoing dissipation. The Einstein field equations are generated in arbitrary dimensions for such a fluid and the assumption of isotropic fluid pressure realises a coupled partial differential equation in the gravitational potentials. We generate exact solutions to the isotropic pressure condition equation which represents a generalisation of the known four dimensional solutions. We also illustrate that the matter variables are physically well behaved and that the energy conditions are satisfied which is essential for constructing a complete and physically viable model in the context of radiating stars with vanishing shear.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01230-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Afrika MatematikaPub Date : 2025-01-28DOI: 10.1007/s13370-025-01246-4
Mehdi Dehghanian, Choonkil Park, Yamin Sayyari
{"title":"Stability of a generalized Drygas functional equation via Brzdȩk’s fixed point method","authors":"Mehdi Dehghanian, Choonkil Park, Yamin Sayyari","doi":"10.1007/s13370-025-01246-4","DOIUrl":"10.1007/s13370-025-01246-4","url":null,"abstract":"<div><p>Using the Brzdȩk fixed point theorem, we establish the Hyers–Ulam stability of the following generalized Drygas functional equation </p><div><div><span>$$begin{aligned} mathcal {F}(x+sigma (y))+mathcal {F}(x+tau (y))=2mathcal {F}(x)+mathcal {F}(sigma (y))+mathcal {F}(tau (y)) end{aligned}$$</span></div></div><p>for all <span>(x,yin X)</span>, where <span>(sigma ,tau : Xrightarrow X)</span> are additive isometries.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}