Autor: -, Sunil - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Congruences on bands of π-groups
Autorzy:: Maity, Sunil
Powiązania:: https://bibliotekanauki.pl/articles/728928.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: group congruence
completely regular semigroup congruence
Opis:: A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. The present paper is devoted to the study of completely regular semigroup congruences on bands of π-groups.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 1; 5-11
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On balanced order relations and the normal hull of completely simple semirings
Autorzy:: Maity, Sunil
Powiązania:: https://bibliotekanauki.pl/articles/729213.pdf
Data publikacji:: 2014
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: skew-ring
Rees matrix semiring
balanced order relation
essential extension
normal extension
normal ideal
normal hull
Opis:: In [1] the authors proved that a semiring S is a completely simple semiring if and only if S is isomorphic to a Rees matrix semiring over a skew-ring R with sandwich matrix P and index sets I and Λ which are bands under multiplication. In this paper we characterize all the balanced order relations on completely simple semirings. Also we study the normal hull of a completely simple semiring.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 75-84
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Clifford congruences on generalized quasi-orthodox GV-semigroups
Autorzy:: Maity, Sunil
Powiązania:: https://bibliotekanauki.pl/articles/729073.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Clifford semigroup
Clifford congruence
generalized quasi-orthodox semigroup
Opis:: A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. A completely π-regular semigroup S is said to be a GV-semigroup if all the regular elements of S are completely regular. The present paper is devoted to the study of generalized quasi-orthodox GV-semigroups and least Clifford congruences on them.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 2; 137-145
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Nil-extensions of completely simple semirings
Autorzy:: Maity, Sunil
Ghosh, Rituparna
Powiązania:: https://bibliotekanauki.pl/articles/729071.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: ideal extension
nil-extension
bi-ideal
completely Archimedean semirings
completely simple semiring
Opis:: A semiring S is said to be a quasi completely regular semiring if for any a ∈ S there exists a positive integer n such that na is completely regular. The present paper is devoted to the study of completely Archimedean semirings. We show that a semiring S is a completely Archimedean semiring if and only if it is a nil-extension of a completely simple semiring. This result extends the crucial structure theorem of completely Archimedean semigroup.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 2; 201-209
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Clifford semifields
Autorzy:: Sen, Mridul
Maity, Sunil
Shum, Kar-Ping
Powiązania:: https://bibliotekanauki.pl/articles/729123.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: skew-ring
Clifford semiring
Clifford semidomain
Clifford semifield
Artinian Clifford semiring
Opis:: It is well known that a semigroup S is a Clifford semigroup if and only if S is a strong semilattice of groups. We have recently extended this important result from semigroups to semirings by showing that a semiring S is a Clifford semiring if and only if S is a strong distributive lattice of skew-rings. In this paper, we introduce the notions of Clifford semidomain and Clifford semifield. Some structure theorems for these semirings are obtained.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 125-135
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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