For modules over group rings we introduce the following numerical parameter. We say that a module A ring R has finite r-generator property if each f.g. (finitely generated) R-submodule of can be generated exactly by r elements and there exists D A, which minimal generating subset, consisting elements. Let FG algebra G field F. In present paper having generator are described.

The HERWIG event generator was widely used throughout the workshop, particularly in the emulation of Supersymmetric (SUSY) and Higgs processes in the context of the Minimal Supersymmetric Standard Model (MSSM). We briefly review here its main features in this respect.

We construct a generator system of the annihilator of a generalized Verma module of a reductive Lie algebra induced from a character of a parabolic subalgebra as an analogue of the minimal polynomial of a matrix.

A fundamental part of a fault diagnosis system is the residual generator. Here a new method, the minimal polynomial basis approach, for design of residual generators for linear systems, is presented. The residual generation problem is transformed into a problem of finding polynomial bases for null-spaces of polynomial matrices. This is a standard problem in established linear systems theory, wh...

In this paper we describe a one–variable Mal′cev–like condition satisfied by any locally finite minimal variety. We prove that a locally finite variety is minimal if and only if it satisfies this Mal′cev–like condition and it is generated by a strictly simple algebra which is nonabelian or has a trivial subalgebra. Our arguments show that the strictly simple generator of a minimal locally finit...

The generators and the unique closed pattern of an equivalence class of itemsets share a common set of transactions. The generators are the minimal ones among the equivalent itemsets, while the closed pattern is the maximum one. As a generator is usually smaller than the closed pattern in cardinality, by the Minimum Description Length Principle, the generator is preferable to the closed pattern...

Background: Compact cyclotrons are getting popular to fulfill enormous current demands of PET tracers. Aga Khan University Hospital, Karachi, Pakistan has acquired the first smallest footprint of BG-75 Generator for 18FDG-based PET/CT clinical imaging. We are sharing our experience of BG-75 in the first year (December 2015-November 2016) after commissioning. Mater...

the power supply of remote sites and applications at minimal cost and with low emissions is an important issue when discussing future energy concepts. this paper presents modeling and optimization of a photovoltaic (pv)/wind/diesel system with batteries storage for electrification to an off-grid remote area located in rafsanjan, iran. for this location, different hybrid systems are studied and ...

We study some combinatorial properties of the word metric of Thompson’s group F in the standard two generator finite presentation. We explore connections between the tree pair diagram representing an element w of F , its normal form in the infinite presentation, its word length, and minimal length representatives of it. We estimate word length in terms of the number and type of carets in the tr...

In this paper, we present an algebraic construction of tail-biting trellises. The proposed method is based on the state space expressions, i.e., the state space is the image of the set of information sequences under the associated state matrix. Then combining with the homomorphism theorem, an algebraic trellis construction is obtained. We show that a tailbiting trellis constructed based on the ...