- Advanced Algebra and Geometry
- Advanced Combinatorial Mathematics
- Advanced Mathematical Identities
- Algebraic structures and combinatorial models
- Protein Hydrolysis and Bioactive Peptides
- Mathematical Dynamics and Fractals
- Probiotics and Fermented Foods
- Algebraic Geometry and Number Theory
- Phytoestrogen effects and research
- Chemotherapy-induced cardiotoxicity and mitigation
- Finite Group Theory Research
- Cancer, Lipids, and Metabolism
- Cerebrovascular and Carotid Artery Diseases
- Proteins in Food Systems
- Meat and Animal Product Quality
Adana Science and Technology University
2023
Palm Beach State College
2017-2020
Tulane University
2018
Abstract Antep cheese is a local Turkish characterized by scalding during production and ripened in brine. In this study, cheeses were produced using mixtures of different milk types (cow, sheep, goat milk) for 5 months. The composition, proteolytic ripening extension index (REI), free fatty acid (FFA) content, volatile compounds the variation brines analyzed 5‐month period. Low activity caused to have low REI values (3.92%–7.57%), although it was observed that some parts water‐soluble...
The structure of nilpotent symplectic algebras maximal class has been studied in [4, 5]. In this paper, we study the dual subclass minimal class. particular, show that alternating dimension up to $16$ are minimal, sense they rank $2$ with minimum nilpotency class, have a confirm conjecture raised [3].
This is a continuation of our combinatorial program on the enumeration Borel orbits in symmetric varieties classical types. Here, we determine generating series numbers $\mathbf{SO}_{2n+1}/\mathbf{S(O}_{2p}\times \mathbf{O}_{2q+1}\mathbf{)}$ (type $BI$) and $\mathbf{Sp}_n/\mathbf{Sp}_p\times \mathbf{Sp}_q$ $CII$). In addition, explore relations to lattice path enumeration.
We examine Borel subgroup orbits in the classical symmetric space of type $CI$, which are parametrized by skew $(n, n)$-clans. describe bijections between such clans, certain weighted lattice paths, and pattern-avoiding signed involutions, we give a cell decomposition terms collections clans called sects. The largest sect with conjectural closure order is isomorphic (as poset) to Bruhat on partial involutions.
This article explores the relationship between Hessenberg varieties associated with semisimple operators two eigenvalues and orbit closures of a spherical subgroup general linear group. We establish specific conditions under which these are irreducible. determine dimension each irreducible variety consideration show that number such is Catalan number. then apply theorem Brion to compute polynomial representative for cohomology class variety. Additionally, we calculate intersections standard...
This study investigated the potential bioactive properties of white cheeses produced in different regions Turkey, including their antioxidant, antihypertensive, antidiabetic, antimicrobial, and anticancer activities. The cheese samples were analyzed both before after vitro digestion. found that all exhibited significant angiotensin-converting enzyme inhibition activity (45.5%-70.1% for 0.03 g cheese/mL) digestion (25.5%-63.5% 0.0167 cheese/mL), whereas α-amylase was present (in range...
The number of Borel orbits in polarizations (the symmetric variety $SL(n)/S(GL(p)\times GL(q))$) is analyzed, various (bivariate) generating functions are found. Relations to lattice path combinatorics explored.
Borel subgroup orbits of the classical symmetric space $SO_{2n}/GL_n$ are parametrized by $DIII$ $(n,n)$-clans. We group clans into "sects" corresponding to Schubert cells orthogonal Grassmannian, thus providing a cell decomposition for $SO_{2n}/GL_n$. also compute recurrence rank polynomial weak order poset on clans, and then describe explicit bijections between such diagonally rook placements, certain pairs minimally intersecting set partitions, class weighted Delannoy paths. Clans largest...
We examine Borel subgroup orbits in the classical symmetric space of type CI, which are parametrized by skew (n, n)-clans. describe bijections between such clans, certain weighted lattice paths, and pattern-avoiding signed involutions, we give a cell decomposition terms collections clans called sects. The largest sect with conjectural closure order is isomorphic (as poset) to Bruhat on partial involutions.