12 citations · 82 across the 30 of their papers we have counts for
5 papers · 1 filter
Categorical Realizations of Quivers
Uriya A. First
We introduce and study categorical realizations of quivers. This construction generalizes comma categories and includes representations of quivers on categories, twisted representa…
Rings That Are Morita Equivalent to Their Opposites
Uriya A. First
We consider the following problem: Under what assumptions do one or more of the following are equivalent for a ring : (A) is Morita equivalent to a ring with involution, (B)…
Hermitian Categories, Extension of Scalars and Systems of Sesquilinear Forms
Eva Bayer-Fluckiger, Uriya A. First, Daniel A. Moldovan
We prove that the category of systems of sesquilinear forms over a given hermitian category is equivalent to the category of unimodular 1-hermitian forms over another hermitian cat…
General Bilinear Forms
Uriya Aharon First
We introduce the new notion of general bilinear forms (generalizing sesquilinear forms) and prove that for every ring (not necessarily commutative, possibly without involution)…
Semi-Invariant Subrings
Uriya A. First
We say that a subring of a ring is semi-invariant if is the ring of invariants in under some set of ring endomorphisms of some ring containing . We show that…