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Near-ring congruences on seminearrings
While establishing the bijection between near-ring congruences and various types of ideals of seminearrings, different kinds of restrictions were...
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Infinitely many new properties of the congruence lattices of slim semimodular lattices
Slim planar semimodular lattices (SPS lattices or slim semimodular lattices for short) were introduced by G. Grätzer and E. Knapp in 2007. More than...
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The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms
There are many families of functions on partitions, such as the shifted symmetric functions, for which the corresponding q -brackets are quasimodular...
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Near-ring congruences on additively regular seminearrings
In this paper we first obtain analogues of some results of LaTorre (Semigroup Forum 24(1):327–340, 1982) in the setting of additively regular...
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A single-variable proof of the omega SPT congruence family over powers of 5
In 2018, Liuquan Wang and Yifan Yang proved the existence of an infinite family of congruences for the smallest parts function corresponding to the...
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On when the union of two algebraic sets is algebraic
In universal algebraic geometry, an algebra is called an equational domain if the union of two algebraic sets is algebraic. We characterize...
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Hasse–Witt matrices, unit roots and period integrals
Motivated by the work of Candelas et al. (Calabi–Yau manifolds over finite fields, I. ar**v:hep-th/0012233 , 2000) on counting points for quintic...
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Rough fuzzy ternary subsemigroups based on fuzzy ideals with three-dimensional congruence relation
The main objective of the proposed work in this paper is to introduce a generalized form of rough fuzzy subsemigroups, which is rough fuzzy ternary...
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Modules
This expository chapter covers the part of near-ring theory which offers near-ring analogues of the Jacobson-Wedderburn-Artin results from ring...
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Modular functions and resolvent problems
The link between modular functions and algebraic functions was a driving force behind the 19th century study of both. Examples include the solutions...
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Product Theory on Finite Elementary Abelian Groups
This chapter applies the constructions of the previous chapter to finite elementary abelian p-groups, presenting a matrix representation in which...
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Stability and instability of lattices in semisimple groups
Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect...
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Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group
In this paper we shall obtain that the nearring C 0 ( V ) of congruence preserving functions that are 0-preserving of a tame N -module V of a nearring N ...
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Bent and Near-Bent Function Construction and 2-Error-Correcting Codes
A function \(f: F_{2^m} \rightarrow F_{2^t}\) is called a...