let $r$ be a ring and $m$ a right $r$-module with $s=end_r(m)$. a module $m$ is called semi-projective if for any epimorphism $f:mrightarrow n$, where $n$ is a submodule of $m$, and for any homomorphism $g: mrightarrow n$, there exists $h:mrightarrow m$ such that $fh=g$. in this paper, we study sgq-projective and$pi$-semi-projective modules as two generalizations of semi-projective modules. a m...

Perpetual voting is a framework for long-term collective decision making. In this framework, we consider sequence of subsequent approval-based elections and try to achieve fair overall outcome. To fairness over time, perpetual rules take the history previous decisions into account identify voters that were dissatisfied with decisions. paper, look at from an axiomatic perspective. First, define ...

by means of a kind of new idea, we consider  the $(in,ivq)$-fuzzy$h$-ideals of a hemiring.  first, the concepts of $(in,ivq)$-fuzzyleft(right) $h$-ideals of a hemiring are provided and some relatedproperties are investigated. then, a kind  of quotient hemiring  ofa hemiring by an $(in,ivq)$-fuzzy $h$-ideal is presented andstudied. moreover, the notions of generalized $varphi$-compatible$(in,ivq...

Modern distributed applications rely upon the functionality of services from multiple providers. Mission-critical services, possibly shared by multiple applications, must be replicated to guarantee correct execution and availability in spite of arbitrary (Byzantine) faults. Furthermore, shared services must enforce strict fault isolation policies to prevent cascading failures across organizatio...

Abstract We study the problem of computing the dimension of a left/right ideal in a group algebra F[G] of a finite group G over a field F, by relating the dimension to the rank of an appropriatematrix, originating from a regular right/left representation of G. In particular, the dimension of a principal ideal is equal to the rank of the matrix representing a generator. From this observation, we...