As usual, we write Z,Q,Fp,C for the ring of integers, the field of rational numbers, the finite field with p elements and the field of complex numbers respectively. If Z is a smooth algebraic variety over an algebraically closed field then we write Ω(Z) for the space of differentials of the first kind on Z. If Z is an abelian variety then we write End(Z) for its ring of (absolute) endomorphisms...

In this paper we propose a general recipe for calculating the automorphism groups of semigroups consisting of partial endomorphisms of relational structures with a single m-ary relation for any m ∈ N over a finite set. We use this recipe to determine the automorphism groups of the following semigroups: the full transformation semigroup, the partial transformation semigroup, and the symmetric in...

Transcription regulation in a temporal and conditional manner underpins the lifecycle of enterobacterial pathogens. Upon exposure to a wide array of environmental cues, these pathogens modulate their gene expression via the RNA polymerase and associated sigma factors. Different sigma factors, either involved in general 'house-keeping' or specific responses, guide the RNA polymerase to their cog...

A seminear-ring is a generalization of ring. In ring theory, if with the multiplicative identity, then endomorphism module isomorphic to . Let be seminear-ring. Here, we can construct set from itself denoted by We show that seminear-ring, also over addition and composition function. will apply congruence relation get quotient endomorphism. Furthermore, between c-ideal relations. So, c-ideal.

In terms of group orbifold elements with definite monodromy, we give a construction for the action functionals of the twisted sectors of all WZW orbifolds. Surprisingly, locality of the theory dictates a form of the general twisted current algebra in which the twisted right and left mover current algebras are not a priori copies of each other. For the permutation orbifolds and the inner-automor...

Let $S(G^{sigma})$ be the skew-adjacency matrix of the oriented graph $G^{sigma}$, which is obtained from a simple undirected graph $G$ by assigning an orientation $sigma$ to each of its edges. The skew energy of an oriented graph $G^{sigma}$ is defined as the sum of absolute values of all eigenvalues of $S(G^{sigma})$. Two oriented graphs are said to be skew equienergetic iftheir skew energies...

Dark matter searches using dual-phase xenon time-projection chambers (LXe-TPCs) rely on their ability to reject background electron recoils (ERs) while searching for signal-like nuclear (NRs). ER response is typically calibrated $\beta$-decay sources, such as tritium, but these calibrations do not characterize events accompanied by an atomic vacancy, in solar neutrino scatters off inner shell e...

In this paper we study the partially ordered set of endomorphism monoids of Rosenberg relations, which are used to characterize maximal clones on a finite set. The problem naturally splits into 49 cases of interrelationships of endomorphism monoids of Rosenberg relations. In order to make the paper self-contained, in addition to new results, we survey some previously published partial results p...

In this note, we prove that the endomorphism ring of a Kronecker module attached to a power series α ∈ k[[X]] is minimally generated by three generators, unless its degree d is less than 3. We prove this via the theory of algebraic curves, by proving that none of the affine curves arising from these endomorphism rings are planar for d ≥ 3, but can always be embedded in A3.

In this paper we study endomorphism rings of finite global dimension over not necessarily normal commutative rings. These objects have recently attracted attention as noncommutative (crepant) resolutions (NC(C)Rs) of singularities. Our results yield various necessary and sufficient conditions for their existence. We also introduce and study the global spectrum of a ring R, that is, the set of a...