Книга
105 3541

Shchedryk, Volodymyr Panteleymonovych.
Arithmetic of matrices over rings = Арифметика матриць над кільцями / V. P. Shchedryk; National acad. of sciences of Ukraine, Pidstryhach inst. of applied problems of mechanics and mathematics. – Kyiv : Akademperiodyka, 2021. – 277 c. – (Project "Ukrainian scientific book in a foreign language")
Bibliogr.: p. 272-277 (114 назв).
ISBN 978-966-360-430-5.

The book is devoted to investigation of arithmetic of the matrix rings over certain classes of commutative finitely generated principal ideals domains. We mainly concentrate on constructing of the matrix factorization theory. We reveal a close relationship between the matrix factorization and specific properties of subgroups of the complete linear group and the special normal form of matrices with respect to unilateral equivalence. The properties of matrices over rings of stable range 1.5 are thoroughly studied. The book is intended for experts in the ring theory and linear algebra, senior and post-graduate students.



віртуальний перегляд – книги – математика, природничі науки, медицина, техніка, сільське господарство – вересень 2021
Предметні рубрики = МАТЕМАТИКА. ПРИРОДНИЧІ НАУКИ : Математика : алгебра : спеціальні розділи алгебри : лінійна алгебра : теорія матриць : матриці над кільцями

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