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Bhaskar, L.; Rao, A. K. S. Chandrasekhar; Srinivas, T.

Some theorems on SS-elements of a ring. (English) Zbl 07920938

Palest. J. Math. 12, No. 1, 537-543 (2023).

MSC:

03G05 Logical aspects of Boolean algebras
06F25 Ordered rings, algebras, modules
13E15 Commutative rings and modules of finite generation or presentation; number of generators
16S50 Endomorphism rings; matrix rings
13F20 Polynomial rings and ideals; rings of integer-valued polynomials

Keywords:

ring; idempotent element; unit; SS-element; matrix ring and polynomial ring
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References:

[1] Foster Alfred. L,The theory of Boolean like rings, Ame Math. Soc, Trans, 59, pp.166-187, 1946. · Zbl 0060.06605
[2] Alan Doerr and Kenneth Levasseur,Applied Discrete Structures for Computer Science, Asia students Edition, New Delhi, India, 1986.
[3] C.S Rao A.K.S,A note on SS-rings, Math edu., India, 2000. · Zbl 1051.16503
[4] Lambek. J,Lectures on Rings and Modules, Waltham, Massachusatts, Blasdell,1966. · Zbl 0143.26403
[5] Serge. L,Algebras, Addision wesley publishing company reading Massachusetts, USA, 2002.
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[8] Holmgren Richard. A,A first course in Discrete Dynamical System, Springer-Verlag, New york, 2001
[9] Srinivas. T and Chandrasekhar Rao. A.K.S,SS-elements and their applications, Southeast Asian Bull. Math, Hong Kong, 33, pp.361-366, 2009. · Zbl 1203.16026
[10] Srinivas. T and Chandra Sekhar Rao. A.K.S,A Generalization of Foster’s Boolean like rings, Acta Ciencia Indica, XXXIII M, pp.1371-1376 ,2007. · Zbl 1142.06308
[11] Srinivas. T, Narasimha Swamy. P and Chandra Sekhar Rao. A.K.S,Central SS-elements of a Ring, Acta Ciencia Indica, XXXV M(1), pp.301-306, 2009. · Zbl 1236.16036
[12] Vasantha Kanda Swamy. W.B,On SS-rings, Math. India, 1998. Author information L. Bhaskar, Department of Mathematics, Kakatiya University, Warangal-506009, Telangana, INDIA. E-mail:bhaskarlavudya1226@gmail.com A.K.S. Chandrasekhar Rao, Department of Mathematics, D.N.R. College, Post graduate Course and Research Center, Bhimavaram-534-202, A.P, INDIA. E-mail:chandhrasekhar-6@yahoo.co.in T. Srinivas, Department of Mathematics, Kakatiya Univeristy, Warangal-506 009, Telangana, INDIA. E-mail:thotasrinivas.srinivas@gmail
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