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math.RA2026

Barr-Exactness and Congruence-Based Homological Algebra in Ternary -Semimodules

Chandrasekhar Gokavarapu, D Madhusudhana Rao

Let be a ternary --semiring and let be the category of ternary --semimodules with the intrinsic five--ary action $T\times Γ\times M \times Γ\times T…

math.NA2026

Bilinear Systems with Quadratic Outputs: Analysis, Optimality Conditions for Model Reduction, and Algorithmic Solutions

Heike Faßbender, Serkan Gugercin, Till Peters

Bilinear systems with quadratic outputs (BQO) have recently emerged as an important system class, arising naturally in applications where both the dynamics and the quantities of in…

math.RA2026

Typed Congruences and Quotient-Critical Irreducibility in Complete Ternary -Semirings

Madhusudhana Rao Dasari, Chandrasekhar Gokavarapu

We study congruences and binary reducibility in completely additive ternary -semirings through their two-sorted atomic cores. For an odd , an abelian group of expone…

astro-ph.GA2026

Euclid Quick Data Release (Q1): The impact of AGN emission on SED-derived physical properties

Euclid Collaboration, B. Laloux, A. Bongiorno +309

The Euclid Quick Data Release (Q1) is a powerful dataset to study active galactic nuclei (AGN) and their host galaxies. Deriving their physical properties through multi-component s…

nlin.PS2026

Formation of mechanical rogue waves

Yasuhiro Miyazawa, Christopher Chong, Panayotis G. Kevrekidis +1

Rogue waves, characterized by their abrupt and extreme localization in space and time, have evolved from maritime folklore to subjects of intense study across diverse fields, from…

math.FA2026

Implications of structured continuous maximal regularity

Philip Preußler, Felix L. Schwenninger

We study how maximal regularity estimates with respect to the continuous functions improve automatically in cases where the spatial norm is fundamentally different from the supremu…