AWA Research Seminar
AWA Research Seminar
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Announcement
Announcement
We paused the AWA seminars to give ample time to the research groups that participated in the Inaugural African Women in Algebra Workshop, July 01-06, 2024, at Kabale University, Uganda and
We paused the AWA seminars to give ample time to the research groups that participated in the Inaugural African Women in Algebra Workshop, July 01-06, 2024, at Kabale University, Uganda and
the Second African Women in Algebra Workshop, August 11-16, 2025, at the University of Abuja, Nigeria, to finish their projects; the groups continued meeting virtually. Some AWA members attended the following lectures in 2025.
the Second African Women in Algebra Workshop, August 11-16, 2025, at the University of Abuja, Nigeria, to finish their projects; the groups continued meeting virtually. Some AWA members attended the following lectures in 2025.
Hybrid lectures in ring theory: Lecturer: Prof. Sophie Frisch, Graz University of Technology, Austria.
Zoom lectures on advanced topics in algebraic geometry: Lecturer: Prof. Balázs Szendrői, University of Vienna, Austria, Moderator: Dr. Caroline Namanya, Muni, Uganda.
ABSTRACTS
ABSTRACTS
Video: https://youtu.be/LhxZfx2P57c
Speaker: Dr. Taiwo O. Sangodapo , University of Ibadan, Nigeria
Title: An Application of Improved Method of Fuzzy Matrix Composition in Medical Diagnosis
Date: 16.02.2024
Time: 14:00 - 15:00 EAT (16:00 - 17:00 EAT)
Abstract : In this talk, the Thangaraj and Mallika's approach for the application of fuzzy matrix is explained. We introduce an improved method of fuzzy matrix composition in medical diagnosis and the validity of the improved method is established in comparison to Thangaraj and Mallika's approach using operations of fuzzy matrices. Finally, an application of the improved method to medical diagnosis is carried out.
Video: https://youtu.be/v_u9SWE6UGs
Speaker: Dr. Angela Tabiri, African Institute for Mathematical Sciences, Ghana
Title: Increasing Visibility as a Mathematician
Date: 16.02.2024
Time: 16:00 - 17:00 EAT
Abstract : Take a moment and search for your name on the internet. Are the results you see a summary of things you consciously contributed to to enhance your identity? We can tell our own stories by the conscious effort we put into making ourselves visible on the internet. This is important because our profiles online are viewed by selection committees, employers,... when we send applications. This talk will help you to identify ways of increasing your visibility on the internet.
Video: https://youtu.be/fIJz57aw8LA
Speaker: Dr. Idayat Foluke Usamot, University of Ilorin, Nigeria
Title: Fixed Point Results On Semigroup Of Order Preserving Maps In Metric Spaces
Date: 02.02.2024
Time: 17:00 - 18:00 EAT
Abstract : In this talk, we introduce new classes of subsemigroups of Order Preserving Full Contraction (OCT_n) and Order Preserving Full Contractive (OC*T_n) mappings respectively in metric spaces. The relationship between the fixed elements of these subsemigroups were thoroughly examined in line with approximate fixed points. We show that, every fixed elements of subsemigroups OCT_n and OC*T_n has a comparable deterministic fixed points and every subsemigroup OC*T_n belong to a class of nonexpansive mapping. The existence and uniqueness results of these subsemigroups were also given in a complete metric space under weakly contractivity conditions which was justified with classical examples.
Video: https://youtu.be/7DDb1MFcSzw
Speaker: Dr. Annet Kyomuhangi, Busitema University, Uganda
Title: The locally nilradical for modules over commutative rings
Date: 15.12.2023
Time: 17:00 - 18:00 EAT
Abstract : Let R be a commutative unital ring and a ∈ R. We introduce and study properties of a functor aΓa, called the locally nilradical on the category of R-modules. aΓa is a generalisation of both the torsion functor (also called section functor) and Baer’s lower nilradical for modules. Several local-global properties of the functor aΓa are established. As an application, results about reduced R-modules are obtained and hitherto unknown ring theoretic radicals as well as structural theorems are deduced.
Video: TBA
Speaker: Ms. Mary Achungo, Masinde Muliro University of Science and Technology, Kenya.
Title: Characterization of Hausdorff Spaces Using Bases, Morphisms and Ranks
Date: 08.12.2023
Time: 17:00 - 18:00 EAT
Abstract : A Hausdorff space is a topological space in which any two distinct points have disjoint neighborhoods. A base for a topology is a collection of open sets that can be used to generate all other open sets in the topology. In this context, a minimal generative base is a base that generates the topology with the minimum number of elements. The characterization of Hausdorff spaces using bases states that a topological space X is Hausdorff if and only if there exists a minimal generative base BM for X such that for any subfamily BM of BM that is also a base for X, every element of BM can be expressed as a union of elements from BM. We will look at the characterization of Hausdorff spaces using bases, ranks and morphisms.
Video: https://youtu.be/I_TY13_eNmQ
Speaker: Prof. Adeniji Adenike Olusola, University of Abuja, Nigeria
Title: Structure of Subgroups of Finite Semilattices: Symmetric Inverse Semigroup
Date: 24.11.2023
Time: 17:00 - 18:00 EAT
Abstract : Let X be a non-empty finite set of n points, on which the symmetric inverse semigroup IS_n, described in terms of their semilattices of idempotents is built. Subgroups of identities and of order one, were characterized. The results obtained determined the cardinalities of two-elements subgroups, using Stirling number of the second kind.
Video: https://youtu.be/AB7QxBsi0LY
Speaker: Dr. Sarah Nakato, Kabale University, Uganda
Title: Integer-valued polynomials with prescribed sets of lengths
Date: 17.11.2023
Time: 17:00 - 18:00 EAT
Abstract : Let D be a domain with quotient field K. The ring of integer-valued polynomials on D,
Int(D) = {f ∈ K[X] | f (D) ⊆ D},
in general is far from having unique factorization of elements into irreducibles. An invariant that fully describes the factorization behaviour of an algebraic structure is the set of lengths. Recall that the set of lengths of an element r is the set of all natural numbers n such that r has a factorization of length n. In this talk, we dicuss sets of lengths in Int(D).
We present two main results for special domains D. First, for any finite multiset N of natural numbers greater than 1, there exists a polynomial f in Int(D) that has exactly |N| essentially different factorizations of the prescribed lengths. In particular, this implies that every finite non-empty set N of natural numbers greater than 1 occurs as a set of lengths of a polynomial f in Int(D). Second, we show that the multiplicative monoid Int(D)\ {0} of Int(D) is not a transfer Krull monoid.
Video: https://youtu.be/S6pzKBdFJz8
Speaker: Dr. Naimat Bakare Gatta, University of Ilorin, Ilorin, Nigeria
Title: Application of Tropical Geometry on Subsemigroup of Order-preserving Full Transformation
Date: 10.11.2023
Time: 17:00 - 18:00 EAT
Abstract : This work ties together the tropical geometry and semigroup. I applied tropical geometry on subsemigroup of order-preserving full transformation (OTn) by degenerating the elements of classical algebra into tropical algebra in which the multiplicities were deduced through their tropical curves.
Video: https://youtu.be/CHjgi5niazs
Speaker: Dr. Sarah Nakato, Kabale University, Uganda
Title: Split absolutely irreducible integer-valued polynomials over discrete valuation domains
Date: 03.11.2023
Time: 17:00 - 18:00 EAT
Abstract : Let D be a domain with quotient field K. The ring of integer-valued polynomials on D, Int(D) = {f ∈ K[X] | f (D) ⊆ D}, in general is far from having unique factorization of elements into irreducibles. In this talk, we focus on the absolutely irreducible elements of Int(D) when D is a discrete valuation domain. Recall that an irreducible element of a commutative ring is called absolutely irreducible if none of its powers has more than one (essentially different) factorizations into irreducibles. The concept of absolute irreducibility has been used in several contexts, for instance, in characterizing number fields with certain class groups. In the context of non-unique factorizations into irreducibles, non-absolutely irreducible elements are crucial in investigating patterns of factorizations. In this talk, we discuss a characterization of the absolutely irreducible elements of Int(D) that split over K.
Video: https://youtu.be/NIJLzUs5tTA
Speaker: Ms. Farha Nazreen University of Nairobi, Kenya
Title: 2-d TQFTs and Frobenious algebras
Date: 27.10.2023
Time: 17:00 - 18:00 EAT
Abstract : Topological Quantum Field Theory (TQFT) is a mathematical framework that assigns topological invariants and numerical invariants called partition functions to topological spaces which are preserved under certain transformations of the space. We will look at the relationship between Frobenious Algebra and 2 dimensional TQFT.
Video: https://youtu.be/zHuU6yXgj00
Speaker: Dr. Raja L'hamri, Mohammed V University, Morocco
Title: Linear codes and super-λ zero divisor graphs of commutative rings
Date: 20.10.2023
Time: 17:00 - 18:00 EAT
Abstract : Connected graphs have been used to construct linear codes, with the parameters of these kind of codes are derived from those of the graphs. Moreover, if the graph is a super-λ graph, determining the minimum distance of its associated code becomes more easy. Therefore, since the zero-divisor graph of a commutative ring is connected, we are interested to see whether the zero-divisor graphs might be useful into this context.
Thus, it is natural to study when zero-divisor graphs of some non elementary ring constructions are super-λ graphs. In this talk, using the finite direct product of finite fields, the ring of the residues, and the trivial extension of rings by a module, we show that there are various classes of rings whose zero-divisor graphs are super-λ. We apply these results to determine parameters of some linear codes associated to zero-divisor graphs.
Video: https://youtu.be/1CAHhrvbZIk
Speaker: Ms. Caroline Namanya, Makerere University, Uganda
Title: Pure braid group presentations
Date: 11.10.2023
Time: 17:00 - 18:00 EAT
Abstract : I will talk about a new and simplified presentation of the classical pure braid group. Motivated by twist functors from Algebraic geometry, the generators are given by the squares of longest elements over connected subgraphs, and the relations are either commutators or certain length 5 palindromic relations.
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